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MATHEMATICS (643 journals)                  1 2 3 4 | Last

Showing 1 - 200 of 538 Journals sorted alphabetically
Abakós     Open Access   (Followers: 3)
Abhandlungen aus dem Mathematischen Seminar der Universitat Hamburg     Hybrid Journal   (Followers: 2)
Academic Voices : A Multidisciplinary Journal     Open Access   (Followers: 2)
Accounting Perspectives     Full-text available via subscription   (Followers: 6)
ACM Transactions on Algorithms (TALG)     Hybrid Journal   (Followers: 16)
ACM Transactions on Computational Logic (TOCL)     Hybrid Journal   (Followers: 4)
ACM Transactions on Mathematical Software (TOMS)     Hybrid Journal   (Followers: 6)
ACS Applied Materials & Interfaces     Full-text available via subscription   (Followers: 20)
Acta Applicandae Mathematicae     Hybrid Journal   (Followers: 1)
Acta Mathematica     Hybrid Journal   (Followers: 10)
Acta Mathematica Hungarica     Hybrid Journal   (Followers: 2)
Acta Mathematica Scientia     Full-text available via subscription   (Followers: 5)
Acta Mathematica Sinica, English Series     Hybrid Journal   (Followers: 5)
Acta Mathematica Vietnamica     Hybrid Journal  
Acta Mathematicae Applicatae Sinica, English Series     Hybrid Journal  
Advanced Science Letters     Full-text available via subscription   (Followers: 4)
Advances in Applied Clifford Algebras     Hybrid Journal   (Followers: 3)
Advances in Calculus of Variations     Hybrid Journal   (Followers: 2)
Advances in Catalysis     Full-text available via subscription   (Followers: 5)
Advances in Complex Systems     Hybrid Journal   (Followers: 7)
Advances in Computational Mathematics     Hybrid Journal   (Followers: 15)
Advances in Decision Sciences     Open Access   (Followers: 4)
Advances in Difference Equations     Open Access   (Followers: 1)
Advances in Fixed Point Theory     Open Access   (Followers: 5)
Advances in Geosciences (ADGEO)     Open Access   (Followers: 9)
Advances in Linear Algebra & Matrix Theory     Open Access   (Followers: 1)
Advances in Materials Sciences     Open Access   (Followers: 15)
Advances in Mathematical Physics     Open Access   (Followers: 6)
Advances in Mathematics     Full-text available via subscription   (Followers: 10)
Advances in Numerical Analysis     Open Access   (Followers: 3)
Advances in Operations Research     Open Access   (Followers: 11)
Advances in Porous Media     Full-text available via subscription   (Followers: 4)
Advances in Pure and Applied Mathematics     Hybrid Journal   (Followers: 5)
Advances in Pure Mathematics     Open Access   (Followers: 4)
Advances in Science and Research (ASR)     Open Access   (Followers: 6)
Aequationes Mathematicae     Hybrid Journal   (Followers: 2)
African Journal of Educational Studies in Mathematics and Sciences     Full-text available via subscription   (Followers: 5)
African Journal of Mathematics and Computer Science Research     Open Access   (Followers: 4)
Afrika Matematika     Hybrid Journal   (Followers: 1)
Air, Soil & Water Research     Open Access   (Followers: 7)
AKSIOMA Journal of Mathematics Education     Open Access   (Followers: 1)
Algebra and Logic     Hybrid Journal   (Followers: 2)
Algebra Colloquium     Hybrid Journal   (Followers: 4)
Algebra Universalis     Hybrid Journal   (Followers: 2)
Algorithmic Operations Research     Full-text available via subscription   (Followers: 5)
Algorithms     Open Access   (Followers: 9)
Algorithms Research     Open Access  
American Journal of Biostatistics     Open Access   (Followers: 9)
American Journal of Computational and Applied Mathematics     Open Access   (Followers: 3)
American Journal of Mathematical Analysis     Open Access  
American Journal of Mathematics     Full-text available via subscription   (Followers: 7)
American Journal of Operations Research     Open Access   (Followers: 5)
American Mathematical Monthly     Full-text available via subscription   (Followers: 6)
An International Journal of Optimization and Control: Theories & Applications     Open Access   (Followers: 7)
Analele Universitatii Ovidius Constanta - Seria Matematica     Open Access   (Followers: 1)
Analysis     Hybrid Journal   (Followers: 2)
Analysis and Applications     Hybrid Journal   (Followers: 1)
Analysis and Mathematical Physics     Hybrid Journal   (Followers: 4)
Analysis Mathematica     Full-text available via subscription  
Annales Mathematicae Silesianae     Open Access  
Annales mathématiques du Québec     Hybrid Journal   (Followers: 4)
Annales UMCS, Mathematica     Open Access   (Followers: 1)
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica     Open Access  
Annali di Matematica Pura ed Applicata     Hybrid Journal   (Followers: 1)
Annals of Combinatorics     Hybrid Journal   (Followers: 3)
Annals of Data Science     Hybrid Journal   (Followers: 8)
Annals of Discrete Mathematics     Full-text available via subscription   (Followers: 6)
Annals of Mathematics     Full-text available via subscription  
Annals of Mathematics and Artificial Intelligence     Hybrid Journal   (Followers: 6)
Annals of Pure and Applied Logic     Open Access   (Followers: 2)
Annals of the Alexandru Ioan Cuza University - Mathematics     Open Access  
Annals of the Institute of Statistical Mathematics     Hybrid Journal   (Followers: 1)
Annals of West University of Timisoara - Mathematics     Open Access  
Annuaire du Collège de France     Open Access   (Followers: 5)
Applicable Algebra in Engineering, Communication and Computing     Hybrid Journal   (Followers: 2)
Applications of Mathematics     Hybrid Journal   (Followers: 1)
Applied Categorical Structures     Hybrid Journal   (Followers: 2)
Applied Computational Intelligence and Soft Computing     Open Access   (Followers: 12)
Applied Mathematics     Open Access   (Followers: 3)
Applied Mathematics     Open Access   (Followers: 4)
Applied Mathematics & Optimization     Hybrid Journal   (Followers: 4)
Applied Mathematics - A Journal of Chinese Universities     Hybrid Journal  
Applied Mathematics Letters     Full-text available via subscription   (Followers: 1)
Applied Mathematics Research eXpress     Hybrid Journal   (Followers: 1)
Applied Numerical Analysis & Computational Mathematics     Hybrid Journal   (Followers: 5)
Applied Numerical Mathematics     Hybrid Journal   (Followers: 5)
Applied Spatial Analysis and Policy     Hybrid Journal   (Followers: 4)
Arab Journal of Mathematical Sciences     Open Access   (Followers: 2)
Arabian Journal of Mathematics     Open Access   (Followers: 2)
Archive for Mathematical Logic     Hybrid Journal   (Followers: 1)
Archive of Applied Mechanics     Hybrid Journal   (Followers: 4)
Archive of Numerical Software     Open Access  
Archives of Computational Methods in Engineering     Hybrid Journal   (Followers: 4)
Arkiv för Matematik     Hybrid Journal   (Followers: 1)
Arnold Mathematical Journal     Hybrid Journal   (Followers: 1)
Artificial Satellites : The Journal of Space Research Centre of Polish Academy of Sciences     Open Access   (Followers: 17)
Asia-Pacific Journal of Operational Research     Hybrid Journal   (Followers: 3)
Asian Journal of Algebra     Open Access   (Followers: 1)
Asian Journal of Current Engineering & Maths     Open Access  
Asian-European Journal of Mathematics     Hybrid Journal   (Followers: 2)
Australian Mathematics Teacher, The     Full-text available via subscription   (Followers: 6)
Australian Primary Mathematics Classroom     Full-text available via subscription   (Followers: 1)
Australian Senior Mathematics Journal     Full-text available via subscription   (Followers: 1)
Automatic Documentation and Mathematical Linguistics     Hybrid Journal   (Followers: 5)
Axioms     Open Access  
Baltic International Yearbook of Cognition, Logic and Communication     Open Access  
Basin Research     Hybrid Journal   (Followers: 3)
BIBECHANA     Open Access  
BIT Numerical Mathematics     Hybrid Journal  
BoEM - Boletim online de Educação Matemática     Open Access  
Boletim Cearense de Educação e História da Matemática     Open Access  
Boletim de Educação Matemática     Open Access  
Boletín de la Sociedad Matemática Mexicana     Hybrid Journal  
Bollettino dell'Unione Matematica Italiana     Full-text available via subscription   (Followers: 1)
British Journal of Mathematical and Statistical Psychology     Full-text available via subscription   (Followers: 19)
Bruno Pini Mathematical Analysis Seminar     Open Access  
Buletinul Academiei de Stiinte a Republicii Moldova. Matematica     Open Access   (Followers: 5)
Bulletin des Sciences Mathamatiques     Full-text available via subscription   (Followers: 4)
Bulletin of Dnipropetrovsk University. Series : Communications in Mathematical Modeling and Differential Equations Theory     Open Access   (Followers: 1)
Bulletin of Mathematical Sciences     Open Access   (Followers: 2)
Bulletin of the Brazilian Mathematical Society, New Series     Hybrid Journal  
Bulletin of the London Mathematical Society     Hybrid Journal   (Followers: 3)
Bulletin of the Malaysian Mathematical Sciences Society     Hybrid Journal  
Calculus of Variations and Partial Differential Equations     Hybrid Journal  
Canadian Journal of Science, Mathematics and Technology Education     Hybrid Journal   (Followers: 18)
Carpathian Mathematical Publications     Open Access   (Followers: 1)
Catalysis in Industry     Hybrid Journal   (Followers: 1)
CAUCHY     Open Access   (Followers: 1)
CEAS Space Journal     Hybrid Journal  
CHANCE     Hybrid Journal   (Followers: 5)
Chaos, Solitons & Fractals     Hybrid Journal   (Followers: 3)
ChemSusChem     Hybrid Journal   (Followers: 7)
Chinese Annals of Mathematics, Series B     Hybrid Journal  
Chinese Journal of Catalysis     Full-text available via subscription   (Followers: 2)
Chinese Journal of Mathematics     Open Access  
Clean Air Journal     Full-text available via subscription   (Followers: 2)
Cogent Mathematics     Open Access   (Followers: 2)
Cognitive Computation     Hybrid Journal   (Followers: 4)
Collectanea Mathematica     Hybrid Journal  
College Mathematics Journal     Full-text available via subscription   (Followers: 1)
COMBINATORICA     Hybrid Journal  
Combustion Theory and Modelling     Hybrid Journal   (Followers: 13)
Commentarii Mathematici Helvetici     Hybrid Journal   (Followers: 1)
Communications in Contemporary Mathematics     Hybrid Journal  
Communications in Mathematical Physics     Hybrid Journal   (Followers: 1)
Communications On Pure & Applied Mathematics     Hybrid Journal   (Followers: 3)
Complex Analysis and its Synergies     Open Access   (Followers: 2)
Complex Variables and Elliptic Equations: An International Journal     Hybrid Journal  
Complexus     Full-text available via subscription  
Composite Materials Series     Full-text available via subscription   (Followers: 9)
Comptes Rendus Mathematique     Full-text available via subscription   (Followers: 1)
Computational and Applied Mathematics     Hybrid Journal   (Followers: 2)
Computational and Mathematical Methods in Medicine     Open Access   (Followers: 2)
Computational and Mathematical Organization Theory     Hybrid Journal   (Followers: 2)
Computational Complexity     Hybrid Journal   (Followers: 4)
Computational Mathematics and Modeling     Hybrid Journal   (Followers: 8)
Computational Mechanics     Hybrid Journal   (Followers: 4)
Computational Methods and Function Theory     Hybrid Journal  
Computational Optimization and Applications     Hybrid Journal   (Followers: 7)
Computers & Mathematics with Applications     Full-text available via subscription   (Followers: 5)
Concrete Operators     Open Access   (Followers: 4)
Confluentes Mathematici     Hybrid Journal  
COSMOS     Hybrid Journal  
Cryptography and Communications     Hybrid Journal   (Followers: 12)
Cuadernos de Investigación y Formación en Educación Matemática     Open Access  
Cubo. A Mathematical Journal     Open Access  
Czechoslovak Mathematical Journal     Hybrid Journal   (Followers: 1)
Demographic Research     Open Access   (Followers: 11)
Demonstratio Mathematica     Open Access  
Dependence Modeling     Open Access  
Design Journal : An International Journal for All Aspects of Design     Hybrid Journal   (Followers: 28)
Developments in Clay Science     Full-text available via subscription   (Followers: 1)
Developments in Mineral Processing     Full-text available via subscription   (Followers: 3)
Dhaka University Journal of Science     Open Access  
Differential Equations and Dynamical Systems     Hybrid Journal   (Followers: 2)
Discrete Mathematics     Hybrid Journal   (Followers: 7)
Discrete Mathematics & Theoretical Computer Science     Open Access  
Discrete Mathematics, Algorithms and Applications     Hybrid Journal   (Followers: 2)
Discussiones Mathematicae Graph Theory     Open Access   (Followers: 1)
Doklady Mathematics     Hybrid Journal  
Duke Mathematical Journal     Full-text available via subscription   (Followers: 1)
Edited Series on Advances in Nonlinear Science and Complexity     Full-text available via subscription  
Electronic Journal of Graph Theory and Applications     Open Access   (Followers: 2)
Electronic Notes in Discrete Mathematics     Full-text available via subscription   (Followers: 2)
Elemente der Mathematik     Full-text available via subscription   (Followers: 3)
Energy for Sustainable Development     Hybrid Journal   (Followers: 9)
Enseñanza de las Ciencias : Revista de Investigación y Experiencias Didácticas     Open Access  
Ensino da Matemática em Debate     Open Access  
Entropy     Open Access   (Followers: 4)
ESAIM: Control Optimisation and Calculus of Variations     Full-text available via subscription   (Followers: 1)
European Journal of Combinatorics     Full-text available via subscription   (Followers: 4)
European Journal of Mathematics     Hybrid Journal   (Followers: 1)
European Scientific Journal     Open Access   (Followers: 2)
Experimental Mathematics     Hybrid Journal   (Followers: 3)
Expositiones Mathematicae     Hybrid Journal   (Followers: 2)
Facta Universitatis, Series : Mathematics and Informatics     Open Access  
Fasciculi Mathematici     Open Access  
Finite Fields and Their Applications     Full-text available via subscription   (Followers: 4)
Fixed Point Theory and Applications     Open Access   (Followers: 1)
Formalized Mathematics     Open Access   (Followers: 2)

        1 2 3 4 | Last

Journal Cover Differential Equations and Dynamical Systems
  [SJR: 0.475]   [H-I: 9]   [2 followers]  Follow
   Hybrid Journal Hybrid journal (It can contain Open Access articles)
   ISSN (Print) 0974-6870 - ISSN (Online) 0971-3514
   Published by Springer-Verlag Homepage  [2335 journals]
  • Fractional Order Bilingualism Model Without Conversion from Dominant
           Unilingual Group to Bilingual Group
    • Authors: Y. Sofuoglu; N. Ozalp
      Pages: 1 - 9
      Abstract: Abstract A fractional order model of a population with one bilingual and two unilingual components, in which conversion from dominant unilingual to bilingual doesn’t exist is studied. Equilibrium points are found, criteria for the existence and the stability of the positive equilibrium are then investigated. Also, numerical solutions for an example of the fractional order system are obtained by transforming the fractional system to the corresponding integer order one.
      PubDate: 2017-01-01
      DOI: 10.1007/s12591-015-0239-9
      Issue No: Vol. 25, No. 1 (2017)
  • On the Stability of $$L_{4,5} $$ L 4 , 5 in the Photogravitational
           Relativistic R3BP
    • Authors: Jagadish Singh; Nakone Bello
      Pages: 29 - 37
      Abstract: Abstract This paper studied the motion of a test particle in the vicinity of the triangular points \(L_{4,5}\) , by considering both primaries as sources of radiation in the framework of the relativistic restricted three-body problem. It is found that the positions and stability of the triangular point are affected by both the relativistic and mass reduction factors. As an application, this model could be the study of the motion of a dust grain particle near luminous binary systems.
      PubDate: 2017-01-01
      DOI: 10.1007/s12591-014-0236-4
      Issue No: Vol. 25, No. 1 (2017)
  • Abel-type Results for Controlled Piecewise Deterministic Markov Processes
    • Authors: Dan Goreac; Oana-Silvia Serea
      Pages: 83 - 100
      Abstract: Abstract In this short paper we prove that, in the framework of continuous control problems for piecewise deterministic Markov processes, the existence of a uniform limit for discounted value functions as the discount factor vanishes implies (without any further assumption) the uniform convergence of the value functions with long run average cost as the time horizon increases to infinity. The two limit values coincide. We also provide a converse Tauberian result for a particular class of systems with Poisson-triggered jump mechanism. We exhibit a very simple example in which the dynamics are not dissipative, nevertheless discounted values converge uniformly to a non-constant limit function.
      PubDate: 2017-01-01
      DOI: 10.1007/s12591-015-0245-y
      Issue No: Vol. 25, No. 1 (2017)
  • Existence and Asymptotic Behavior of Positive Solutions for a Coupled
           Fractional Differential System
    • Abstract: Abstract In this paper, we take up the existence and the asymptotic behavior of positive and continuous solutions to the following coupled fractional differential system $$\begin{aligned} \left\{ \begin{array}{ll} \displaystyle D^{\alpha } u=a(x)\displaystyle u^{p }\displaystyle v^{r}\quad \text { in }(0,1) , \\ \displaystyle D^{\beta } v=b(x)\displaystyle u^{s }\displaystyle v^{q}\quad \text { in }(0,1) , \\ u(0)= u(1)= D^{\alpha -3}u(0)= u^{\prime }(1)=0,\\ v(0)= v(1)= D^{\beta -3}v(0)= v^{\prime }(1)=0, \end{array} \right. \end{aligned}$$ where \( \alpha , \beta \in (3,4]\) , \(p, q\in (-1,1)\) , \(r, s\in \mathbb {R}\) such that \((1- p )(1- q )- rs > 0\) , D is the standard Riemann–Liouville differentiation and a, b are nonnegative and continuous functions in (0, 1) allowed to be singular at \(x=0\) and \(x=1\) and they are required to satisfy some appropriate conditions related to Karamata regular variation theory.
      PubDate: 2017-03-25
  • Reduction of Fifth-Order Ordinary Differential Equations to Linearizable
           form by Contact Transformations
    • Abstract: Abstract This paper is devoted to the study of the linearization problem of fifth-order ordinary differential equations by means of contact transformations. The necessary and sufficient conditions for linearization are obtained. The procedure for obtaining the linearizing transformations is provided in explicit form. Examples demonstrating the procedure of using the linearization theorems are presented.
      PubDate: 2017-03-21
  • Modeling Functional Connectivity on Empirical and Randomized Structural
           Brain Networks
    • Authors: Şeyma Bayrak; Philipp Hövel; Vesna Vuksanović
      Abstract: Abstract This study combines modeling of neuronal activity and networks derived from neuroimaging data in order to investigate how the structural organization of the human brain affects the temporal dynamics of interacting brain areas. The dynamics of the neuronal activity is modeled with FitzHugh–Nagumo oscillators and the blood-oxygen-level-dependent (BOLD) time series is inferred via the Balloon–Windkessel hemodynamic model. The simulations are based on anatomical probability maps between considered brain regions of interest. These maps were derived from diffusion-weighted magnetic resonance imaging measurements. In addition, the length of the fiber tracks allows for inference of coupling delays due to finite signal propagation velocities. We aim to investigate (i) graph-theoretical properties of the network topology derived from neuroimaging data and (ii) how randomization of structural connections influences the dynamics of neuronal activity. The network characteristics of the structural connectivity data are compared to density-matched Erdős–Rényi random graphs. Furthermore, the neuronal and BOLD activity are modeled on both empirical and random (Erdős–Rényi type) graphs. The simulated temporal dynamics on both graphs are compared statistically to capture whether the spatial organization of these network affects the modeled time series. Results support previous findings that key topological network properties such as small-worldness of our neuroimaging data are distinguishable from random networks. We also show that simulated BOLD activity is affected by the underlying network topology and the strength of connections between the network nodes. The difference of the modeled temporal dynamics of brain networks from the dynamics on randomized graphs suggests that anatomical connections in the human brain together with dynamical self-organization are crucial for the temporal evolution of the resting-state activity.
      PubDate: 2017-03-11
      DOI: 10.1007/s12591-017-0354-x
  • Parameter estimation in a spiking-bursting H-R neural model with random
    • Authors: Argha Mondal; Chinmoy Paul; Gajendra Kumar Vishwakarma; Ranjit Kumar Upadhyay
      Abstract: Abstract This article reports a method for the estimation of parameters of a 3D Hindmarsh Rose neural model under a noisy measurement. Estimation procedure is based on reparametrization of the 3D model in a linear form. Method of least square has been used to estimate the biophysical parameters of the model. It is known that the presence of unavoidable noise effects the estimation procedure. To reduce the influence of noise to a certain extent, a denoising algorithm based on local projection is considered. Estimation procedure has been derived both in noisy and denoised condition to present the effectiveness of the algorithm. The denoising technique has been applied to reduce the influence of noisy stimuli in an experimentally collected EEG data set and the results are presented in terms of reduction in variance level. The effectiveness of the method is presented using analytical/mathematical and simulation results.
      PubDate: 2017-03-07
      DOI: 10.1007/s12591-017-0355-9
  • Collinear Points in the Photogravitational ER3BP with Zonal Harmonics of
           the Secondary
    • Authors: Rukkayat Suleiman; Aishetu Umar; Jagadish Singh
      Abstract: Abstract The positions and stability of the collinear equilibrium points in the photogravitational ER3BP with zonal harmonics of the secondary is investigated. The effects of the perturbing forces: - oblateness, eccentricity and radiation pressure—on the positions and stability of collinear points \((L_{1,2,3})\) of an infinitesimal mass in the framework of the photogravitational ER3BP with zonal harmonics of the secondary are established. These effects on the positions of the binary systems Zeta Cygni, 54 Piscium, Procyon A/B and Regulus A are shown graphically and numerically from the analytic results obtained. It is observed that as the zonal harmonic \(J_{4}\) and eccentricity e increase, the collinear points shift towards the origin, while the reverse is observed with increase in the semi-major axis. The stability behavior however is unaffected by the introduction of these parameters, the collinear points remain linearly unstable.
      PubDate: 2017-03-06
      DOI: 10.1007/s12591-017-0352-z
  • Blow up of Solutions to a Class of Damped Viscoelastic Inverse Source
    • Authors: Mohammad Shahrouzi
      Abstract: Abstract This article is devoted to the study blow up of solutions to a quasilinear inverse source problem with memory and damping terms. We obtain sufficient conditions on initial functions for which the solutions blow up in a finite time. Estimates of the lifespan of solutions are also given.
      PubDate: 2017-03-03
      DOI: 10.1007/s12591-017-0356-8
  • On the Unresolved Cases of Convergence of Bidimensional Slow Discrete
           Dynamical Systems
    • Authors: Francisco J. Solis; Alina Sotolongo
      Abstract: Abstract In this work we complete the analysis of convergence for nonhyperbolic fixed points of two dimensional discrete dynamical systems. We analyze all different scenarios of systems with isolated equilibria whose linearized part has eigenvalues of norm one, except for those with real eigenvalues equal to one, which have been studied previously. We also include the non-diagonalizable case and the case of mixing eigenvalues, where only one real eigenvalue has absolute value equal to one. Different techniques have been applied depending on the hyperbolic scenario. Finally, many two dimensional examples are presented in order to illustrate the diverse orbit behaviors and the number of iterations required to converge.
      PubDate: 2017-03-01
      DOI: 10.1007/s12591-017-0353-y
  • Dissipative Control of Markovian Jumping Genetic Regulatory Networks with
           Time-Varying Delays and Reaction–Diffusion Driven by Fractional Brownian
    • Authors: Yonggang Ma; Qimin Zhang; Xining Li
      Abstract: Abstract This paper conducts a dissipative analysis for comprehensive genetic regulatory network models with fractional Brownian motion (fBm), diffusion-reaction processes, Markovian jump and time-varying delay. By constructing an appropriate Lyapunov–Krasovskii functional, utilizing linear matrix inequality (LMI) technique and stochastic theory, several sufficient conditions of global dissipativity and strictly \(({{\mathscr {Q}}},{{\mathscr {S}}},{{\mathscr {R}}})\) - \(\gamma \) -dissipativity of the solution are established. Moreover, the global attractive sets which are positive invariant are obtained. Finally, two numerical examples are given to illustrate the effectiveness of the theoretical results.
      PubDate: 2017-02-23
      DOI: 10.1007/s12591-017-0349-7
  • Modeling Creep Behavior of Thermally Graded Rotating Disc of Functionally
           Graded Material
    • Authors: Tania Bose; Minto Rattan
      Abstract: Abstract An attempt has been made to model steady-state creep for thermally graded rotating disc made of linearly varying functionally graded material. The stress and strain rate distributions have been calculated for the discs rotating at linearly/parabolically decreasing temperatures using threshold stress based creep law and von Mises’ yield criterion. Further, these results are compared with the disc operating at uniform temperature throughout the radial distance. The results are displayed and compared graphically in designer friendly format for the said temperature profiles. The analysis indicates that stress in composite disc operating under thermal gradient slightly increases as compared to disc operating under constant temperature. However, the strain rate developed near the inner radius in the disc rotating at uniform temperature is lower in comparison to disc having linear/parabolic thermal gradations; whereas the disc operating at uniform temperature shows higher strain rate as compared to disc having linear/parabolic thermal gradations near the outer radius. It is observed that for the disc having thermal gradation the steady state creep rates show less deviation as compared to the disc operating under uniform temperature throughout the radial distance.
      PubDate: 2017-02-15
      DOI: 10.1007/s12591-017-0350-1
  • Lie Group Analysis, Exact Solutions and New Conservation Laws for Combined
           KdV–mKdV Equation
    • Authors: Cheng Chen; Yao-Lin Jiang
      Abstract: Abstract In this paper combined KdV–mKdV equation is deeply explored. The optimal system of one-dimensional subalgebra is determined. Similarity reductions of combined KdV–mKdV equation are performed and group invariant solutions are given under optimal system of subgroups. Some special exact solutions are obtained by the simplest equation method. Moreover the equation is shown to be self-adjoint and we construct conservation laws of combined KdV–mKdV equation.
      PubDate: 2017-02-15
      DOI: 10.1007/s12591-017-0351-0
  • Analytic Study of Bifurcations of the Pairwise Model for SIS Epidemic
           Propagation on an Adaptive Network
    • Authors: Ágnes Bodó; Péter L. Simon
      Abstract: Abstract The pairwise ODE model for SIS epidemic propagation on an adaptive network with link number preserving rewiring is studied. The model, introduced by Gross et al. (Phys Rev Lett 96:208701, 2006), consists of four ODEs and contains three parameters, the infection rate \(\tau \) , the recovery rate \(\gamma \) and the rewiring rate w. It is proved that transcritical, saddle-node and Andronov–Hopf bifurcations may occur. These bifurcation curves are determined analytically in the \((\tau , w)\) parameter plane by using the parametric representation method, together with the two co-dimensional Takens–Bogdanov bifurcation point. It is shown that this parameter plane is divided into four regions by the above bifurcation curves. The possible behaviours are as follows: (a) globally stable disease-free steady state, (b) stable disease-free steady state with two unstable endemic equilibria and a stable periodic orbit, (c) stable disease-free steady state with a stable and an unstable endemic equilibrium and (d) a globally stable endemic equilibrium. Numerical evidence is shown that homoclinic bifurcation, giving rise to an unstable periodic orbit, and cycle-fold bifurcation also occur.
      PubDate: 2017-02-10
      DOI: 10.1007/s12591-017-0348-8
  • Editorial
    • Authors: Kapil K. Sharma; R. K. Mohanty
      PubDate: 2017-02-07
      DOI: 10.1007/s12591-017-0347-9
  • Global Dynamics of a Breast Cancer Competition Model
    • Authors: Kristen Abernathy; Zachary Abernathy; Arden Baxter; Meghan Stevens
      Abstract: Abstract In this paper, we present a system of five ordinary differential equations which consider population dynamics among cancer stem cells, tumor cells, and healthy cells. Additionally, we consider the effects of excess estrogen and the body’s natural immune response on the aforementioned cell populations. Employing a variety of analytical methods, we study the global dynamics of the full system, along with various submodels. We find sufficient conditions on parameter values to ensure cancer persistence in the absence of immune cells, and cancer eradication when an immune response is included. We conclude with a discussion on the biological implications of the resulting global dynamics.
      PubDate: 2017-01-20
      DOI: 10.1007/s12591-017-0346-x
  • On Variational Inequalities with Multivalued Perturbing Terms Depending on
    • Authors: Vy Khoi Le
      Abstract: Abstract In this paper, we study variational inequalities of the form $$\begin{aligned} \left\{ \begin{array}{l} \langle {\mathcal {A}}(u), v-u \rangle + \langle {{\mathcal {F}}}(u), v-u \rangle + J(v) - J(u) \ge 0,\quad \forall v\in X \\ u\in X, \end{array} \right. \end{aligned}$$ where \({\mathcal {A}}\) and \({{\mathcal {F}}}\) are multivalued operators represented by integrals, J is a convex functional, and X is a Sobolev space of variable exponent. The principal term \({\mathcal {A}}\) is a multivalued operator of Leray–Lions type. We concentrate on the case where \({{\mathcal {F}}}\) is given by a multivalued function \(f = f(x,u,\nabla u)\) that depends also on the gradient \(\nabla u\) of the unknown function. Existence of solutions in coercive and noncoercive cases are considered. In the noncoercive case, we follow a sub-supersolution approach and prove the existence of solutions of the above inequality under a multivalued Bernstein–Nagumo type condition.
      PubDate: 2017-01-16
      DOI: 10.1007/s12591-017-0345-y
  • Differential Equations of the Space-Like Loxodromes on the Helicoidal
           Surfaces in Minkowski 3-Space
    • Authors: Murat Babaarslan; Mustafa Kayacik
      Abstract: Abstract In the present paper, we investigate the differential equations of the space-like loxodromes on the helicoidal surfaces having space-like meridians and time-like meridians, respectively in Minkowski 3-space. Also we illustrate our main results by using Mathematica.
      PubDate: 2017-01-07
      DOI: 10.1007/s12591-016-0343-5
  • The Effect of Predator Density Dependent Transmission Rate in an
           Eco-Epidemic Model
    • Authors: C. Maji; D. Kesh; D. Mukherjee
      Abstract: Abstract This paper deals with predator-prey-pathogen interaction where predator influences the transmission rate of the infection in its prey. It is assumed that predator consumes infected prey only. The main results address the existence of interior equilibrium point and its stability. Also we derive the condition for persistence of the system. Bifurcation at the coexistence equilibrium point is established. Lastly, the condition for non-existence of closed orbits is found. Some numerical simulations illustrate the obtained results.
      PubDate: 2017-01-07
      DOI: 10.1007/s12591-016-0342-6
  • Biological Conservation of Living Systems by Providing Additional Food
           Supplements in the Presence of Inhibitory Effect: A Theoretical Study
           Using Predator–Prey Models
    • Authors: P. D. N. Srinivasu; D. K. K. Vamsi; I. Aditya
      Abstract: Abstract Ecological and biological conservation of living systems has been an active area of research over the years by agriculturalists, biologists and mathematicians. One of the studies involves additional food supplement feeding (also called as diversionary feeding) for the purpose of biological (wildlife in some cases) conservation. The idea in this approach is to distract (thereby supplement) the wildlife from predating upon the other species with the end goal of wildlife conservation. On the other hand in agricultural entomology, insect control and optimization, additional food is supplemented as a tool for effective pest control thereby achieving the biological control. The study of these ecosystems is usually done using the predator–prey systems. In nature, we find situations wherein the group defense (toxicity) of the prey reduces the predator’s predation rate. This type of behaviour of the prey is also known as inhibitory effect of the prey. Biological conservation of such predator prey systems in the presence of additional food supplements is quite challenging and interesting. In this paper, we consider an additional food provided predator–prey system which is a variation of the standard predator–prey model in the presence of the inhibitory effect of the prey. The predators functional response is assumed to be of Holling type IV (considering the inhibitory effect). This model is analyzed to understand the inherent dynamics of the system. The findings suggest that the quality and quantity of additional food provided to the predators, play a very significant role in determining the eventual state of the ecosystem. The outcomes of the analysis suggests eco friendly strategies to eco-managers for biological conservation of living systems.
      PubDate: 2017-01-06
      DOI: 10.1007/s12591-016-0344-4
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