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Research Article Open access CC BY 4.0

Stability Analysis for Stochastic Differential Equations in Virology

Marouane Mahrouf, El Mehdi Lotfi, Mehdi Maziane, Khalid Hattaf, Noura Yousfi

Journal of Advances in Mathematics and Computer Science · pp. 1–12 · Published 24 Dec 2016

10.9734/BJMCS/2017/30345

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.

Viral infection stochastic differential equations (SDEs) general incidence rate mean square stability stability in probability

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