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MATHEMATICS (651 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: 8)
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: 21)
Acta Applicandae Mathematicae     Hybrid Journal   (Followers: 1)
Acta Mathematica     Hybrid Journal   (Followers: 11)
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: 7)
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: 10)
Advances in Linear Algebra & Matrix Theory     Open Access   (Followers: 1)
Advances in Materials Sciences     Open Access   (Followers: 16)
Advances in Mathematical Physics     Open Access   (Followers: 5)
Advances in Mathematics     Full-text available via subscription   (Followers: 10)
Advances in Numerical Analysis     Open Access   (Followers: 4)
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: 3)
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: 11)
Algorithms Research     Open Access   (Followers: 1)
American Journal of Biostatistics     Open Access   (Followers: 9)
American Journal of Computational and Applied Mathematics     Open Access   (Followers: 4)
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: 3)
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: 9)
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 Network Science     Open Access  
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: 19)
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: 7)
Australian Primary Mathematics Classroom     Full-text available via subscription   (Followers: 2)
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: 5)
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: 21)
Bruno Pini Mathematical Analysis Seminar     Open Access  
Buletinul Academiei de Stiinte a Republicii Moldova. Matematica     Open Access   (Followers: 7)
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: 1)
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)
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: 2)
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: 14)
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: 29)
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)
Dnipropetrovsk University Mathematics Bulletin     Open Access  
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: 5)
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: 4)
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  [2353 journals]
  • Triangular Libration Points in the CR3BP with Radiation, Triaxiality and
           Potential from a Belt
    • Authors: Jagadish Singh; Joel John Taura
      Pages: 385 - 396
      Abstract: Abstract In this paper the equations of motion of the circular restricted three body problem is modified to include radiation of the bigger primary, triaxiality of the smaller primary; and gravitational potential created by a belt. We have obtained that due to the perturbations, the locations of the triangular libration points and their linear stability are affected. The points move towards the bigger primary due to the resultant effect of the perturbations. Triangular libration points are stable for \(0<\mu <\mu _c\) and unstable for \(\mu _c \le \mu \le \frac{1}{2}\) , where \(\mu _c\) is the critical mass ratio affected by the perturbations. The radiation of the bigger primary and triaxiality of the smaller primary have destabilizing propensities, whereas the potential created by the belt has stabilizing propensity. This model could be applied in the study of the motion of a dust particle near radiating -triaxial binary system surrounded by a belt.
      PubDate: 2017-07-01
      DOI: 10.1007/s12591-015-0243-0
      Issue No: Vol. 25, No. 3 (2017)
  • Composition Theorems of Stepanov $$\mu $$ μ -Pseudo Almost Automorphic
           Functions and Applications to Nonautonomous Neutral Evolution Equations
    • Authors: Abdelkarim-Nidal Akdad; Brahim Essebbar; Khalil Ezzinbi
      Pages: 397 - 416
      Abstract: Abstract In this work, we present a new composition theorem of \(\mu \) -pseudo almost automorphic functions in the sense of Stepanov satisfying some local Lipschitz conditions. Using this results, we establish an existence result of \(\mu \) -pseudo almost automorphic solutions for some nonautonomous neutral partial evolution equation with Stepanov \(\mu \) -pseudo almost automorphic nonlinearity. An example is shown to illustrate our results.
      PubDate: 2017-07-01
      DOI: 10.1007/s12591-015-0246-x
      Issue No: Vol. 25, No. 3 (2017)
  • A Note on Stochastic Gilpin–Ayala Population Model with Dispersal
    • Authors: Aadil Lahrouz; Adel Settati
      Pages: 417 - 430
      Abstract: Abstract A stochastic Gilpin–Ayala population model with diffusion between two patches is studied. A sufficient conditions for extinction and persistence are established. Furthermore, the existence of a stationary distribution is showed. The analytical results are illustrated by computer simulations.
      PubDate: 2017-07-01
      DOI: 10.1007/s12591-015-0244-z
      Issue No: Vol. 25, No. 3 (2017)
  • A Note on a System of Cubic Nonlinear Klein–Gordon Equations in One
           Space Dimension
    • Authors: Donghyun Kim
      Pages: 431 - 451
      Abstract: Abstract We study the Cauchy problem for a system of cubic nonlinear Klein–Gordon equations in one space dimension. Under a suitable structural condition on the nonlinearity, we will show that the solution exists globally and decays of the order \(O(t^{-1/2})\) in \(L^\infty \) as t tends to infinity without the condition of a compact support on the Cauchy data which was assumed in the previous works.
      PubDate: 2017-07-01
      DOI: 10.1007/s12591-015-0259-5
      Issue No: Vol. 25, No. 3 (2017)
  • Global Properties of General Viral Infection Models with Humoral Immune
    • Authors: A. M. Elaiw; N. H. AlShamrani
      Pages: 453 - 479
      Abstract: Abstract In this paper, we study the global properties of two general models for viral infection with humoral immune response. The incidence rate of infection, the removal rate of infected cells, the production and neutralize rates of viruses and the activation and removal rates of B cells are given by more general nonlinear functions. The second model generalizes the first one by taking into account the latently infected cells. We assume that the latent-to-active conversion rate is also given by a more general nonlinear function. For both models, we derive two threshold parameters and establish a set of conditions on the general functions which are sufficient to determine the global dynamics of the models. By using suitable Lyapunov functions and LaSalle’s invariance principle, we prove the global asymptotic stability of all equilibria of the models.
      PubDate: 2017-07-01
      DOI: 10.1007/s12591-015-0247-9
      Issue No: Vol. 25, No. 3 (2017)
  • On the Calculation of $$R_0$$ R 0 Using Submodels
    • Authors: Daniel Olmos; Ignacio Barradas; David Baca-Carrasco
      Pages: 481 - 497
      Abstract: Abstract A set of epidemiological models and their basic reproductive numbers are presented. For some models, the expression of the basic reproductive number can be very complex to determine. In this work, we present some techniques to find the expressions of these basic reproductive numbers starting from submodels of the original one. Some particular models with their respective \(R_0\) , which can be applied to the study of some important diseases, are also presented.
      PubDate: 2017-07-01
      DOI: 10.1007/s12591-015-0257-7
      Issue No: Vol. 25, No. 3 (2017)
  • Differential Equations Associated with Higher-order Frobenius–Euler
           Numbers Revisited
    • Authors: Taekyun Kim; Dae San Kim; Lee-Chae Jang; Hyuck In Kwon
      Abstract: Abstract In this paper, we derive differential equations from the generating function of higher-order Frobenius–Euler numbers. In addition, we give some new and explicit identities for higher-order Frobenius–Euler numbers arising from those differential equations.
      PubDate: 2017-07-29
      DOI: 10.1007/s12591-017-0380-8
  • Application of Rothe’s Method to Some Functional Differential Equations
           with Dirichlet Boundary Conditions
    • Authors: Md. Maqbul; A. Raheem
      Abstract: Abstract The existence and uniqueness of a strong solution for a class of partial functional differential equations with Dirichlet boundary conditions is established by applying Rothe’s method. As an application, we included an example to illustrate the main result.
      PubDate: 2017-07-06
      DOI: 10.1007/s12591-017-0379-1
  • Dynamics of Locally Coupled Agents with Next Nearest Neighbor Interaction
    • Authors: J. Herbrych; A. G. Chazirakis; N. Christakis; J. J. P. Veerman
      Abstract: Abstract We consider large but finite systems of identical agents on the line with up to next nearest neighbor asymmetric coupling. Each agent is modelled by a linear second order differential equation, linearly coupled to up to four of its neighbors. The only restriction we impose is that the equations are decentralized. In this generality we give the conditions for stability of these systems. For stable systems, we find the response to a change of course by the leader. This response is at least linear in the size of the flock. Depending on the system parameters, two types of solutions have been found: damped oscillations and reflectionless waves. The latter is a novel result and a feature of systems with at least next nearest neighbor interactions. Analytical predictions are tested in numerical simulations.
      PubDate: 2017-07-06
      DOI: 10.1007/s12591-017-0377-3
  • Non-Standard Finite Difference Schemes for Solving Variable-Order
           Fractional Differential Equations
    • Authors: A. M. Nagy
      Abstract: Abstract A non-standard finite difference (NSFD) methodology of Mickens is a popular method for the solution of differential equations. In this paper, we discusses how we can generalize NSFD schemes for solving variable-order fractional problems. The variable-order fractional derivatives are described in the Riemann–Liouville and Grünwald–Letinkov sense. Special attention is given to the Grünwald–Letinkov definition which is used to approximate the variable-order fractional derivatives. Some applications of the variable-order fractional in viscous-viscoelasticity oscillator model and chaotic financial system are included to demonstrate the validity and applicability of the proposed technique.
      PubDate: 2017-07-04
      DOI: 10.1007/s12591-017-0378-2
  • Numerical Solutions of Non-Linear System of Higher Order Volterra
           Integro-Differential Equations using Generalized STWS Technique
    • Authors: R. Chandra Guru Sekar; K. Murugesan
      Abstract: Abstract In this article, we deal with non-linear system of higher order Volterra integro-differential equations and their numerical solutions using the Single Term Walsh Series (STWS) method. The connections between STWS coefficients of the unknown functions and its derivatives are derived. The non-linear system of Volterra integro-differential equations are converted into a system of non-linear algebraic equations using the Single Term Walsh Series coefficients. Solving these system of algebraic equations, we obtain the discrete numerical solutions of the non-linear Volterra integro-differential equations. Numerical examples are presented to show the efficiency and applicability of this STWS method for solving the non-linear system of higher order Volterra integro-differential equations.
      PubDate: 2017-06-30
      DOI: 10.1007/s12591-017-0376-4
  • Singularly Perturbed Vector Field Method (SPVF) Applied to Combustion of
           Monodisperse Fuel Spray
    • Authors: OPhir Nave
      Abstract: Abstract In this paper we present the concept of singularly perturbed vector field (SPVF) method, and its application to thermal explosion of diesel spray combustion. Given a system of governing equations, which consist of hidden Multi-scale variables, the SPVF method transfer and decompose such system to fast and slow singularly perturbed subsystems. The resulting subsystem enables us to understand better the complex system, and to simplify the calculations. Later powerful analytical, numerical and asymptotic methods [e.g method of integral (invariant) manifold, the homotopy analysis method etc.] can be applied to each subsystem. In this paper, we compare the results obtained by the methods of integral invariant manifold and SPVF as applied to the spray droplets combustion model.
      PubDate: 2017-06-29
      DOI: 10.1007/s12591-017-0373-7
  • Zero-Hopf Periodic Orbit of a Quadratic System of Differential Equations
           Obtained from a Third-Order Differential Equation
    • Authors: Jaume Llibre; Ammar Makhlouf
      Abstract: Abstract We study the zero-Hopf bifurcation of the third-order differential equations $$\begin{aligned} x^{\prime \prime \prime }+ (a_{1}x+a_{0})x^{\prime \prime }+ (b_{1}x+b_{0})x^{\prime }+x^{2} =0, \end{aligned}$$ where \(a_{0}\) , \(a_{1}\) , \(b_{0}\) and \(b_{1}\) are real parameters. The prime denotes derivative with respect to an independent variable t. We also provide an estimate of the zero-Hopf periodic solution and their kind of stability. The Hopf bifurcations of these differential systems were studied in [5], here we complete these studies adding their zero-Hopf bifurcations.
      PubDate: 2017-06-27
      DOI: 10.1007/s12591-017-0375-5
  • Transmission Dynamics of Zika Fever: A SEIR Based Model
    • Authors: Mudassar Imran; Muhammad Usman; Muhammad Dur-e-Ahmad; Adnan Khan
      Abstract: Abstract In this paper, a deterministic model is proposed to perform a thorough investigation of the transmission dynamics of Zika fever. Our model, in particular, takes into account the effects of horizontal as well as vertical disease transmission of both humans and vectors. The expression for basic reproductive number \(R_0\) is determined in terms of horizontal and vertical disease transmission rates. An in-depth stability analysis of the model is performed, and it is shown, that model is locally asymptotically stable when \(R_0 < 1\) . In this case, there is a possibility of backward bifurcation in the model. With the assumption that total population is constant, we prove that the disease free state is globally asymptotically stable when \(R_0 < 1\) . It is also shown that disease strongly uniformly persists when \(R_0> 1\) and there exists an endemic equilibrium which is unique if the total population is constant. The endemic state is locally asymptotically stable when \(R_0> 1\) .
      PubDate: 2017-06-23
      DOI: 10.1007/s12591-017-0374-6
  • Asymptotic Stability of Neutral Impulsive Stochastic Partial Differential
           Equation of Sobolev Type with Poisson Jumps
    • Authors: Alka Chadha; Swaroop Nandan Bora
      Abstract: This paper is concerned with the p-th asymptotical stability of the mild solution of an impulsive neutral stochastic integro-differential equation of Sobolev type involving Poisson jumps and non-instantaneous impulses. By utilizing Leray–Schauder fixed point theorem and compact semigroup, a set of sufficient conditions establishing the asymptotical stability of the mild solution to stochastic system in the p-moment is derived. An example is also considered for illustrating abstract results.
      PubDate: 2017-06-19
      DOI: 10.1007/s12591-017-0371-9
  • High-Order Compact Finite Difference Scheme for Pricing Asian Option with
           Moving Boundary Condition
    • Authors: Kuldip Singh Patel; Mani Mehra
      Abstract: Abstract In this paper, an unconditionally stable compact finite difference scheme for the solution of linear convection–diffusion equation is proposed. In the proposed scheme, second derivative approximations of the unknowns are eliminated with the unknowns itself and their first derivative approximations while retaining the fourth order accuracy and tri-diagonal nature of the scheme. Proposed compact finite difference scheme which is fourth order accurate in spatial variable and second or lower order accurate in temporal variable depending on the choice of weighted time average parameter is applied to Asian option partial differential equation. A diagonally dominant system of linear equation is obtained from the proposed scheme which can be efficiently solved. Two numerical examples are given to demonstrate the efficiency and accuracy of the proposed compact finite difference scheme.
      PubDate: 2017-06-15
      DOI: 10.1007/s12591-017-0372-8
  • On the Stability of First Order PDEs Associated to Vector Fields
    • Authors: Maysam Maysami Sadr
      Abstract: Abstract Let \(\mathcal {M}\) be a manifold, \(\mathcal {V}\) be a vector field on \(\mathcal {M}\) , and \(\mathcal {B}\) be a Banach space. For any fixed function \(f:\mathcal {M}\rightarrow \mathcal {B}\) and any fixed complex number \(\lambda \) , we study Hyers–Ulam stability of the global differential equation \(\mathcal {V}y=\lambda y+f\) .
      PubDate: 2017-06-13
      DOI: 10.1007/s12591-017-0369-3
  • Global Asymptotical Stability for a Diffusive Predator-Prey Model with
           Ratio-Dependent Holling Type III Functional Response
    • Authors: Wensheng Yang; Xuepeng Li
      Abstract: Abstract A diffusive predator–prey model with ratio-dependent Holling type III functional response is considered in this work. Sufficient conditions for the global asymptotical stability of the constant positive steady-state solution are derived by constructing recurrent sequences and using an iterative method. It is shown that our result supplements one of the main results of Shi and Li’s paper (Global asymptotic stability of a diffusive predator–prey model with ratio-dependent functional response. Appl Math Comput 250:71–77, 2015).
      PubDate: 2017-06-12
      DOI: 10.1007/s12591-017-0370-x
  • On Iterative Solutions and Error Estimations of a Coupled System of
           Fractional Order Differential-Integral Equations with Initial and Boundary
    • Authors: Hasib Khan; Hossein Jafari; Dumitru Baleanu; Rahmat Ali Khan; Aziz Khan
      Abstract: Abstract The study of boundary value problems (BVPs) for fractional differential–integral equations (FDIEs) is extremely popular in the scientific community. Scientists are utilizing BVPs for FDIEs in day life problems by the help of different approaches. In this paper, we apply monotone iterative technique for the existence, uniqueness and the error estimations of solutions for a coupled system of BVPs for FDIEs of orders \(\omega ,\epsilon \in \left( 3,4 \right] \) . The coupled system is given by $$\begin{aligned} D^{\omega }u\left( t \right)= & {} -G_1 \left( {t,I^{\omega }u\left( t \right) ,I^{\varepsilon }v\left( t \right) } \right) ,\\ D^{\varepsilon }v\left( t \right)= & {} -G_2 \left( {t,I^{\omega }u\left( t \right) ,I^{\varepsilon }v\left( t \right) } \right) ,\\ D^{\delta }u\left( 1 \right)= & {} 0=I^{3-\omega }u\left( 0 \right) =I^{4-\omega }u\left( 0 \right) , u(1)=\frac{{\Gamma }\left( {\omega -\delta } \right) }{{\Gamma }\left( \omega \right) }I^{\omega -\delta }\\&\quad G_1 \left( {t,I^{\omega }u\left( t \right) ,I^{\varepsilon }v\left( t \right) } \right) \left( {t=1} \right) ,\\ D^{\nu }v\left( 1 \right)= & {} 0=I^{3-\varepsilon }v\left( 0 \right) =I^{4-\nu }v\left( 0 \right) , v(1)=\frac{{\Gamma }\left( {\varepsilon -\nu } \right) }{{\Gamma }\left( \varepsilon \right) }I^{\varepsilon -\nu }\\&\quad G_2 \left( {t,I^{\omega }u\left( t \right) ,I^{\varepsilon }v\left( t \right) } \right) \left( {t=1} \right) , \end{aligned}$$ where \(t\in \left[ {0,1}\right] \) , \(\delta ,\nu \in \left[ {1,2} \right] .\) The functions \(G_1 ,G_2 :\left[ {0,1} \right] \times R\times R\rightarrow R,\) satisfy the Caratheodory conditions. The fractional derivatives \(D^{\omega },D^{\varepsilon },D^{\delta },D^{\nu }\) are in Riemann-Liouville sense and \(I^{\omega },I^{\varepsilon },I^{3-\omega },I^{4-\omega },I^{3-\varepsilon },I^{4-\varepsilon },I^{\omega -\delta },I^{\varepsilon -\nu }\) are fractional order integrals. The assumed technique is a better approach for the existence, uniqueness and error estimation. The applications of the results are examined by the help of examples.
      PubDate: 2017-06-08
      DOI: 10.1007/s12591-017-0365-7
  • Particular Solution of Linear Sequential Fractional Differential equation
           with Constant Coefficients by Inverse Fractional Differential Operators
    • Authors: Sanaa L. Khalaf; Ayad R. Khudair
      Abstract: Abstract This paper adopts the inverse fractional differential operator method for obtaining the explicit particular solution to a linear sequential fractional differential equation, involving Jumarie’s modification of Riemann–Liouville derivative, with constant coefficient s. This method depends on the classical inverse differential operator method and it is independent of the integral transforms. Several examples are then given to demonstrate the validity of our main results.
      PubDate: 2017-05-29
      DOI: 10.1007/s12591-017-0364-8
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