Stability Analysis for Stochastic Differential Equations in Virology
Journal Title: Journal of Advances in Mathematics and Computer Science - Year 2017, Vol 20, Issue 1
Abstract
In this paper, we propose a viral infection model governed by three stochastic differential equations. The global existence and positivity of solutions is investigated. Further, we give sufficient conditions for the stability in probability of the endemic equilibrium by using the direct Lyapunov method. Moreover, an application and numerical simulations are given to illustrate our theoretical results.
Authors and Affiliations
Marouane Mahrouf, El Mehdi Lotfi, Mehdi Maziane, Khalid Hattaf, Noura Yousfi
Keywords
Related Articles
- EP ID EP321941
- DOI 10.9734/BJMCS/2017/30345
- Views 88
- Downloads 0
Comparison among Unstructured TVD, ENO and UNO Schemes in Two-dimensions
In this work, unstructured TVD, ENO and UNO schemes are applied to solve the Euler equations in two-dimensions. They are implemented on a finite volume context and cell centered data base. The algorithms of Yee, Warming...
Soliton Solutions for Time Fractional Hamiltonian System
In this paper, soliton solutions of a fractional partial differential equations using modified extended tanh method with Riccati equation have been proposed. This method is applied to obtain solitary wave solution for th...
Algorithms for Solving Some Inverse Problems from Combinatorial Number Theory
In this paper we use the characteristic property of sumsets which states that there exists a proper subset tiling the set by translates to solve by an algorithmic methods, for nite sets, some inverse problems in combina...
Peristaltic Pumping and Dispersion of a MHD Couple Stress Fluid with Chemical Reaction and Wall Effects
The dispersion of a solute matter in the magneto-hydrodynamic peristaltic pumping of an incompressible couple stress uid with wall effects has been studied. The mean effective coefficient of dispersion on simultaneous h...
Modeling Pulmonary Tuberculosis for Optimal Control Including Prevention
It is formulated and analyzed an optimal control problem for the transmission dynamics of the SEIS-like pulmonary tuberculosis (TB) including prevention by means of non-linear differential equations, which are linked to...