Subjects -> MATHEMATICS (Total: 1082 journals)
    - APPLIED MATHEMATICS (86 journals)
    - GEOMETRY AND TOPOLOGY (23 journals)
    - MATHEMATICS (800 journals)
    - MATHEMATICS (GENERAL) (43 journals)
    - NUMERICAL ANALYSIS (24 journals)
    - PROBABILITIES AND MATH STATISTICS (106 journals)

MATHEMATICS (800 journals)                  1 2 3 4 | Last

Showing 1 - 200 of 538 Journals sorted alphabetically
Abakós     Open Access   (Followers: 5)
Abhandlungen aus dem Mathematischen Seminar der Universitat Hamburg     Hybrid Journal   (Followers: 4)
Academic Voices : A Multidisciplinary Journal     Open Access   (Followers: 2)
Accounting Perspectives     Full-text available via subscription   (Followers: 7)
ACM Transactions on Algorithms (TALG)     Hybrid Journal   (Followers: 16)
ACM Transactions on Computational Logic (TOCL)     Hybrid Journal   (Followers: 3)
ACM Transactions on Mathematical Software (TOMS)     Hybrid Journal   (Followers: 6)
ACS Applied Materials & Interfaces     Hybrid Journal   (Followers: 39)
Acta Applicandae Mathematicae     Hybrid Journal   (Followers: 1)
Acta Mathematica     Hybrid Journal   (Followers: 12)
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: 6)
Acta Mathematica Vietnamica     Hybrid Journal  
Acta Mathematicae Applicatae Sinica, English Series     Hybrid Journal  
Advanced Science Letters     Full-text available via subscription   (Followers: 12)
Advances in Applied Clifford Algebras     Hybrid Journal   (Followers: 4)
Advances in Calculus of Variations     Hybrid Journal   (Followers: 6)
Advances in Catalysis     Full-text available via subscription   (Followers: 5)
Advances in Complex Systems     Hybrid Journal   (Followers: 10)
Advances in Computational Mathematics     Hybrid Journal   (Followers: 23)
Advances in Decision Sciences     Open Access   (Followers: 4)
Advances in Difference Equations     Open Access   (Followers: 3)
Advances in Fixed Point Theory     Open Access   (Followers: 8)
Advances in Geosciences (ADGEO)     Open Access   (Followers: 19)
Advances in Linear Algebra & Matrix Theory     Open Access   (Followers: 11)
Advances in Materials Science     Open Access   (Followers: 19)
Advances in Mathematical Physics     Open Access   (Followers: 8)
Advances in Mathematics     Full-text available via subscription   (Followers: 17)
Advances in Nonlinear Analysis     Open Access   (Followers: 1)
Advances in Numerical Analysis     Open Access   (Followers: 9)
Advances in Operations Research     Open Access   (Followers: 13)
Advances in Operator Theory     Hybrid Journal   (Followers: 2)
Advances in Porous Media     Full-text available via subscription   (Followers: 5)
Advances in Pure and Applied Mathematics     Hybrid Journal   (Followers: 10)
Advances in Pure Mathematics     Open Access   (Followers: 10)
Advances in Science and Research (ASR)     Open Access   (Followers: 9)
Aequationes Mathematicae     Hybrid Journal   (Followers: 2)
African Journal of Educational Studies in Mathematics and Sciences     Full-text available via subscription   (Followers: 9)
African Journal of Mathematics and Computer Science Research     Open Access   (Followers: 7)
Afrika Matematika     Hybrid Journal   (Followers: 3)
Air, Soil & Water Research     Open Access   (Followers: 13)
AKSIOMA Journal of Mathematics Education     Open Access   (Followers: 3)
AKSIOMATIK : Jurnal Penelitian Pendidikan dan Pembelajaran Matematika     Open Access  
Al-Jabar : Jurnal Pendidikan Matematika     Open Access   (Followers: 1)
Al-Qadisiyah Journal for Computer Science and Mathematics     Open Access   (Followers: 1)
AL-Rafidain Journal of Computer Sciences and Mathematics     Open Access   (Followers: 6)
Algebra and Logic     Hybrid Journal   (Followers: 7)
Algebra Colloquium     Hybrid Journal   (Followers: 4)
Algebra Universalis     Hybrid Journal   (Followers: 2)
Algorithmic Operations Research     Open Access   (Followers: 5)
Algorithms     Open Access   (Followers: 12)
Algorithms Research     Open Access   (Followers: 1)
American Journal of Computational and Applied Mathematics     Open Access   (Followers: 10)
American Journal of Mathematical Analysis     Open Access   (Followers: 2)
American Journal of Mathematical and Management Sciences     Hybrid Journal   (Followers: 1)
American Journal of Mathematics     Full-text available via subscription   (Followers: 7)
American Journal of Operations Research     Open Access   (Followers: 8)
American Mathematical Monthly     Full-text available via subscription   (Followers: 6)
An International Journal of Optimization and Control: Theories & Applications     Open Access   (Followers: 11)
Anadol University Journal of Science and Technology B : Theoritical Sciences     Open Access  
Analele Universitatii Ovidius Constanta - Seria Matematica     Open Access  
Analysis and Applications     Hybrid Journal   (Followers: 1)
Analysis and Mathematical Physics     Hybrid Journal   (Followers: 6)
Analysis Mathematica     Full-text available via subscription  
Analysis. International mathematical journal of analysis and its applications     Hybrid Journal   (Followers: 5)
Annales Mathematicae Silesianae     Open Access   (Followers: 2)
Annales mathématiques du Québec     Hybrid Journal   (Followers: 4)
Annales Universitatis Mariae Curie-Sklodowska, sectio A – 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: 4)
Annals of Data Science     Hybrid Journal   (Followers: 13)
Annals of Discrete Mathematics     Full-text available via subscription   (Followers: 8)
Annals of Functional Analysis     Hybrid Journal   (Followers: 1)
Annals of Mathematics     Full-text available via subscription   (Followers: 2)
Annals of Mathematics and Artificial Intelligence     Hybrid Journal   (Followers: 14)
Annals of PDE     Hybrid Journal  
Annals of Pure and Applied Logic     Open Access   (Followers: 4)
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  
Annals of West University of Timisoara - Mathematics and Computer Science     Open Access   (Followers: 2)
Annuaire du Collège de France     Open Access   (Followers: 6)
ANZIAM Journal     Open Access   (Followers: 1)
Applicable Algebra in Engineering, Communication and Computing     Hybrid Journal   (Followers: 3)
Applications of Mathematics     Hybrid Journal   (Followers: 3)
Applied Categorical Structures     Hybrid Journal   (Followers: 4)
Applied Computational Intelligence and Soft Computing     Open Access   (Followers: 14)
Applied Mathematics     Open Access   (Followers: 4)
Applied Mathematics     Open Access   (Followers: 8)
Applied Mathematics & Optimization     Hybrid Journal   (Followers: 10)
Applied Mathematics - A Journal of Chinese Universities     Hybrid Journal   (Followers: 1)
Applied Mathematics and Nonlinear Sciences     Open Access  
Applied Mathematics Letters     Full-text available via subscription   (Followers: 4)
Applied Mathematics Research eXpress     Hybrid Journal   (Followers: 1)
Applied Network Science     Open Access   (Followers: 3)
Applied Numerical Mathematics     Hybrid Journal   (Followers: 5)
Applied Spatial Analysis and Policy     Hybrid Journal   (Followers: 6)
Arab Journal of Mathematical Sciences     Open Access   (Followers: 4)
Arabian Journal of Mathematics     Open Access   (Followers: 2)
Archive for Mathematical Logic     Hybrid Journal   (Followers: 3)
Archive of Applied Mechanics     Hybrid Journal   (Followers: 6)
Archive of Numerical Software     Open Access  
Archives of Computational Methods in Engineering     Hybrid Journal   (Followers: 6)
Arkiv för Matematik     Hybrid Journal   (Followers: 1)
Armenian Journal of Mathematics     Open Access   (Followers: 1)
Arnold Mathematical Journal     Hybrid Journal   (Followers: 1)
Artificial Satellites     Open Access   (Followers: 25)
Asia-Pacific Journal of Operational Research     Hybrid Journal   (Followers: 3)
Asian Journal of Algebra     Open Access   (Followers: 1)
Asian Research Journal of Mathematics     Open Access   (Followers: 1)
Asian-European Journal of Mathematics     Hybrid Journal   (Followers: 3)
Australian Mathematics Teacher, The     Full-text available via subscription   (Followers: 7)
Australian Primary Mathematics Classroom     Full-text available via subscription   (Followers: 5)
Australian Senior Mathematics Journal     Full-text available via subscription   (Followers: 2)
Automatic Documentation and Mathematical Linguistics     Hybrid Journal   (Followers: 5)
Axioms     Open Access   (Followers: 1)
Baltic International Yearbook of Cognition, Logic and Communication     Open Access   (Followers: 2)
Banach Journal of Mathematical Analysis     Hybrid Journal   (Followers: 1)
Basin Research     Hybrid Journal   (Followers: 5)
BIBECHANA     Open Access   (Followers: 2)
Biomath     Open Access  
BIT Numerical Mathematics     Hybrid Journal   (Followers: 1)
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: 2)
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: 13)
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: 3)
Bulletin of Mathematical Sciences     Open Access   (Followers: 1)
Bulletin of Symbolic Logic     Full-text available via subscription   (Followers: 2)
Bulletin of the Australian Mathematical Society     Full-text available via subscription   (Followers: 2)
Bulletin of the Brazilian Mathematical Society, New Series     Hybrid Journal  
Bulletin of the Iranian Mathematical Society     Hybrid Journal  
Bulletin of the London Mathematical Society     Hybrid Journal   (Followers: 3)
Bulletin of the Malaysian Mathematical Sciences Society     Hybrid Journal  
Cadernos do IME : Série Matemática     Open Access   (Followers: 1)
Calculus of Variations and Partial Differential Equations     Hybrid Journal  
Canadian Journal of Mathematics / Journal canadien de mathématiques     Hybrid Journal  
Canadian Journal of Science, Mathematics and Technology Education     Hybrid Journal   (Followers: 22)
Canadian Mathematical Bulletin     Hybrid Journal  
Carpathian Mathematical Publications     Open Access   (Followers: 1)
Catalysis in Industry     Hybrid Journal   (Followers: 1)
CEAS Space Journal     Hybrid Journal   (Followers: 2)
CHANCE     Hybrid Journal   (Followers: 5)
Chaos, Solitons & Fractals     Hybrid Journal   (Followers: 3)
Chaos, Solitons & Fractals : X     Open Access  
ChemSusChem     Hybrid Journal   (Followers: 8)
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  
Ciencia     Open Access   (Followers: 1)
Clean Air Journal     Full-text available via subscription   (Followers: 1)
CODEE Journal     Open Access   (Followers: 2)
Cogent Mathematics     Open Access   (Followers: 2)
Cognitive Computation     Hybrid Journal   (Followers: 3)
Collectanea Mathematica     Hybrid Journal  
College Mathematics Journal     Hybrid Journal   (Followers: 4)
COMBINATORICA     Hybrid Journal  
Combinatorics, Probability and Computing     Hybrid Journal   (Followers: 4)
Combustion Theory and Modelling     Hybrid Journal   (Followers: 15)
Commentarii Mathematici Helvetici     Hybrid Journal  
Communications in Advanced Mathematical Sciences     Open Access  
Communications in Combinatorics and Optimization     Open Access  
Communications in Contemporary Mathematics     Hybrid Journal  
Communications in Mathematical Physics     Hybrid Journal   (Followers: 4)
Communications On Pure & Applied Mathematics     Hybrid Journal   (Followers: 4)
Complex Analysis and its Synergies     Open Access   (Followers: 3)
Complex Variables and Elliptic Equations: An International Journal     Hybrid Journal  
Composite Materials Series     Full-text available via subscription   (Followers: 9)
Compositio Mathematica     Full-text available via subscription  
Comptes Rendus Mathematique     Full-text available via subscription  
Computational and Applied Mathematics     Hybrid Journal   (Followers: 4)
Computational and Mathematical Methods     Hybrid Journal  
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: 9)
Computational Mechanics     Hybrid Journal   (Followers: 5)
Computational Methods and Function Theory     Hybrid Journal  
Computational Optimization and Applications     Hybrid Journal   (Followers: 9)
Computers & Mathematics with Applications     Full-text available via subscription   (Followers: 11)
Concrete Operators     Open Access   (Followers: 4)
Confluentes Mathematici     Hybrid Journal  
Contributions to Game Theory and Management     Open Access  
COSMOS     Hybrid Journal  
Cryptography and Communications     Hybrid Journal   (Followers: 13)
Cuadernos de Investigación y Formación en Educación Matemática     Open Access  
Cubo. A Mathematical Journal     Open Access  
Current Research in Biostatistics     Open Access   (Followers: 8)
Czechoslovak Mathematical Journal     Hybrid Journal   (Followers: 1)
Demographic Research     Open Access   (Followers: 15)
Demonstratio Mathematica     Open Access  
Dependence Modeling     Open Access  
Design Journal : An International Journal for All Aspects of Design     Hybrid Journal   (Followers: 31)
Desimal : Jurnal Matematika     Open Access   (Followers: 2)

        1 2 3 4 | Last

Similar Journals
Journal Cover
Computational Mathematics and Modeling
Journal Prestige (SJR): 0.241
Number of Followers: 9  
 
  Hybrid Journal Hybrid journal (It can contain Open Access articles)
ISSN (Print) 1573-837X - ISSN (Online) 1046-283X
Published by Springer-Verlag Homepage  [2626 journals]
  • Current State and Development Prospects of Relativistic Optics
    • Abstract: The article briefly reviews two promising directions in the development of relativistic optics, presents simulation results for the interaction of super-high-power laser radiation with cluster plasma, and proposes a particle acceleration method that may provide a promising and unique tool for laser physics research.
      PubDate: 2020-04-04
       
  • Implementation of the One-Step One-Hybrid Block Method on the Nonlinear
           Equation of a Circular Sector Oscillator
    • Abstract: Solving nonlinear differential equation of a circular sector oscillator is of a scientific importance. Thus, to solve such equations, a single- step implicit block method involving one hybrid point with the introduction of a third derivative is proposed. To derive this method, the approximate basis solution is interpolated at {xn, xn + 3/5} while its second and third derivatives are collocated at all points {xn, xn + 3/5, xn + 1}on the integrated interval of approximation. Numerical results are presented in the form of table and graphs for the variation of different physical parameters. The study reveals that the proposed hybrid block method is zero stable, which proves that it is convergent beside a significant interval of absolute stability, thus making it suitable for solving stiff ODEs.
      PubDate: 2020-04-04
       
  • Correction to: Optimal Control Problems for a Mathematical Model of the
           Treatment of Psoriasis
    • Abstract: To the article “Optimal Control Problems for a Mathematical Model of the Treatment of Psoriasis,” by N. L. Grigorenko, É. V. Grigorieva, P. K. Roi, and E. N. Khailov, Vol. 30, No. 4, pp. 352–363, October, 2019.
      PubDate: 2020-04-03
       
  • A Numerical Method for a System of Integral Equations Determining the
           Boundaries of Local Nonhomogeneities
    • Abstract: The article considers a numerical method for the inverse problem of determining the boundaries of nonhomogeneities from probe data. A nonlinear system of integral equations in a three-dimensional region is solved and numerical results are reported.
      PubDate: 2020-04-01
       
  • Quasi-Classical Description of the “Quantum Bottleneck” Effect for
           Thermal Relaxation of an Atom in a Resonator
    • Abstract: We consider the escape of a photon from a single-mode optical cavity with a controlled variable intensity. The source of the photon is a relaxing two-level atom. The quantum bottleneck effect involves a counterintuitive decrease of the probability of photon escape from the cavity with the increase of its escape intensity. Numerical simulations of the process were carried out using the basic Lindblad quantum equation for the Jaynes-Cummings model with thermal relaxation. A quasi-classical description of the bottleneck mechanism is presented, similar to the Zeno effect. The counterintuitive behavior described plays an important role in the description of the exchange of single photons in nanosystems and in molecular complexes converting solar energy in bacteria.
      PubDate: 2020-04-01
       
  • Solving the Transport-Coagulation Problem in a Two-Dimensional Spatial
           Region
    • Abstract: The article presents a numerical scheme for solving the spatially nonhomogeneous coagulation problem. The problem is solved in a two-dimensional spatial region using unstructured grids. The finite-volume method is used with monotonicity-preserving limiters. The coagulation kernel in the Smoluchowski collision integrals is approximated by a low-rank decomposition, which reduces the machine time requirement. Reflection is reduced by introducing a perfectly matched layer on the spatial boundary.
      PubDate: 2020-04-01
       
  • A Numerical Method for the Solution of Two Inverse Problems in the
           Mathematical Model of Redox Sorption
    • Abstract: For a mathematical model with internal-diffusion kinetics and an oxidation-reduction reaction, we consider two inverse problems of determining the sorption isotherm or the redox reaction rate constant from the output dynamic curve. A numerical method for the solution of these inverse problems is proposed, computational results are reported, and its potential is investigated.
      PubDate: 2020-04-01
       
  • Influence of the Nonlocal Effect on the Optical Properties of Nonspherical
           Plasmonic Semiconductor Nanoparticles
    • Abstract: Noble metals are commonly used as plasmon materials because of their high density of free electrons, but semiconductor materials are also becoming of interesting in this field because its electron density can be varied by doping. Metal nitrides can be an alternative to noble metals because of their low absorption loss and high electron density. Among others, TiN and ZrN seem to be most suitable as alternative plasmonic materials because their optical properties are dominated by conduction electrons near the plasmon frequency. There is the flame spray pyrolysis process, which is currently developed to produce such kind of nanoparticles. In this paper, based on an extension of the discrete sources method, the effect of the hydrodynamic Drude model of the quantum nonlocal effect on the optical characteristics of semiconductor nanoparticles is analyzed. The influence of accounting for the nonlocal effect (NLE) on the optical properties under spherical particles deformation has been investigated. It has been shown that accounting for the NLE leads to a plasmon resonance blue shift and a damping similar to noble metals. It was found that smaller particles demonstrate larger NLE influence than larger ones. Besides, the influence of polarization on the local and nonlocal responses of 3D nonspherical semiconductor particles has been investigated as well. Using simulation accounting for the nonlocal effect, it is shown that the extinction of a nonspherical ZrN particles exceeds that of a gold particle.
      PubDate: 2020-04-01
       
  • Application of a Limiterless Quasi Acoustic Scheme to Solve
           Two-Dimensional Shallow Water Equations with an Uneven Bottom
    • Abstract: The article describes the application of an original quasi-acoustic scheme for numerical solution of two-dimensional shallow-water equations with an uneven bottom. The numerical scheme partitions the linear reconstruction of the solution into small-perturbation blocks. The main advantage of the quasi-acoustic scheme is that it constructs the solution without using limiters, artificial regularizers, or any tuning parameters. The scheme is verified on a number of test and prototype problems.
      PubDate: 2020-04-01
       
  • A Linearization Method in the “Attack–Defense” Game with
           Nonhomogeneous Opponent Resources
    • Abstract: A nonhomogeneous generalization of the “attack–defense” game is considered. A linearization method is proposed to determine the best guaranteed outcome (BGO) of defense. The linearization utilizes a decomposition of the solution in a small parameter in the neighborhood of the trivial uniform distribution of defense resources. We show that the determination of correcting perturbations to the trivial uniform allocation of defense resources is reducible to a linear program. A prototype example to construct the correcting perturbations is considered.
      PubDate: 2020-04-01
       
  • The Inverse Problem of Determining the Parameters of a Mathematical Model
           Linking GDP with National Debt
    • Abstract: The article examines a mathematical model linking changes in GDP and in national debt. The model is based on a system of two linear ordinary differential equations (ODE) with variable coefficients. The model is approximate, but it describes the statistical data with good accuracy. The model coefficients are unknown. An algorithm is proposed to find the linear system coefficients from an approximate solution. A stable solution is obtained by the Tikhonov regularization method. Solving the forward and the inverse problem on prototype examples, we show that the time-dependent coefficients are reconstructed with good accuracy. The algorithm is applied to find and analyze the coefficients of a linear (ODE) system describing the dynamics of the national debt and GDP. The statistical data of several developed countries are applied to estimate the model coefficients and to analyze the dynamics of economic growth.
      PubDate: 2020-04-01
       
  • Electric and Magnetic Dipole Fields in the Wave Zone Allowing for Ground
           Effects
    • Abstract: We derive asymptotic Green’s functions for the Helmholtz equations describing the radiation from electric and magnetic dipoles located at an interface. The directional diagram of a distributed magnetic antenna is analyzed, formulas are derived for the phase shifts between different radiators intended for controlling the peak direction, an approximate formula is obtained for the angular width of the antenna main lobes.
      PubDate: 2020-04-01
       
  • Stabilized Solution for a Time-Fractional Inverse Problem with an Unknown
           Nonlinear Condition
    • Abstract: In this paper, we consider a time-fractional inverse problem in which the nonlinear boundary conditions contain an unknown function. A finite difference scheme will be proposed to solve numerically the inverse problem. This inverse problem is generally ill-posed. For this reason, we will employ the mollification regularization method with the generalized cross-validation criterion to find a stable solution. The stability and convergence of numerical solutions are investigated. Finally, some numerical examples are presented to illustrate the validity and effectiveness of the proposed method.
      PubDate: 2019-11-14
       
  • Mathematical Modeling of the Operation of the Cooled First Wall in a
           Tokamak
    • Abstract: A mathematical model is constructed for the first-wall cooling system in the tokamak reactor. A numerical analysis is carried out for the existing first-wall design for the future FNS (Fusion Neutron Source) reactor.
      PubDate: 2019-11-01
       
  • The System of Root Functions is a Basis in a Problem with a Multiple
           Eigenvalue
    • Abstract: We consider a problem that describes the biorthogonal adjoint system for the classical system of root functions for a loaded string with one free end in the presence of a multiple eigenvalue. We show that the complete and minimal subsystems isolated from the system of root functions constitute a basis in the presence of one or two associated functions.
      PubDate: 2019-11-01
       
  • The Effect of a Monomer Source on the Oscillation Period in an
           Irreversible Coagulation Model
    • Abstract: The article examines the kinetic equations of irreversible coagulation with a source of monomers and a sink of particles that exceed the maximum allowed size. Time-periodic solutions are known for the class of Brownian kernels. In this study, we analyze the effect of the monomer source intensity on the period and the amplitude of the particle concentration oscillations over time. The numerical results suggest that as the source intensity is increased, the oscillation amplitude increases while the oscillation period decreases, so that no qualitative changes are observed in the solution structure. A change in source intensity does not produce scaling of the model time and model concentrations of the particles per unit volume of the medium.
      PubDate: 2019-11-01
       
  • The Inverse Problem for an Integro-Differential Equation and its Solution
           Method
    • Abstract: The inverse problem of the determination of the unknown coefficient in an integro-differential equation is considered. Existence and uniqueness theorems are proved for the inverse problem. A numerical method for the determination of the unknown coefficient is proposed and substantiated. Numerical results illustrating the convergence of the method are reported.
      PubDate: 2019-11-01
       
  • The Role of HPV on Cervical Cancer with Several Functional Response: a
           Control Based Comparative Study
    • Abstract: The development of cervical cancer cells from normal cells is caused by the human papilloma virus (HPV), and the progression can be described using a population model of the cells and free virus. We develop a mathematical model consisting of five compartments to describe the interactions between the human papilloma virus and four classes of epithelial and basal cells (susceptible, infected, precancerous, and cancerous) of cervix. In our mathematical model, we consider that the disease transmission rate from precancerous to cancerous cells is governed by a response function f(P) according to the risk and our cell immunity power which is dependent on the antibody genes p53 and pRb. So we have considered f(P) as three types of functions linear, Holling type II, and Holling type III. We analyze the local stability of the equilibrium points of each of the types in a comparative way and investigate analytically and numerically the parameters that play an important role in the progression towards the cervical cancer. Furthermore, we have taken some control strategies on the Holling type III functional response based on two types of drugs to eradicate the infected and cancer cell populations.
      PubDate: 2019-11-01
       
  • Mathematical Modeling of the Blood Flow in Hepatic Vessels
    • Abstract: A mathematical model is developed for the blood flow in the vessels connected with the hepatic portal vein. A satisfactory anatomical model of the venous vessels of unpaired organs in the abdominal cavity and in the portal vein basin is constructed and integrated into the general systemic circulation model. Computer experiments are carried out modeling redistribution of venous and arterial blood flows in the presence of portal hypertension in liver fibrosis. The hydrodynamic properties of the blood flow are investigated allowing for anatomical and artificial shuts and their effect on pressure reduction in the portal vein. The calculation results are consistent with clinical data.
      PubDate: 2019-11-01
       
  • Energy Markets: Optimization of Transmission Networks
    • Abstract: We consider the maximization of the welfare function in the process of expansion of the energy transmission network. Production and transportation costs as well as the utility of consumption are taken into consideration. The article presents previously developed methods for the calculation of optimal (or nearly optimal) transmission capacities, flows, and production volumes with a model of a network energy market. We also examine the dynamic problem of optimal expansion of the transmission system given that the demand and cost functions are exogenous for each time interval during the planning period,
      PubDate: 2019-11-01
       
 
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