TITLE:
Stochastic HIV Infection Model with CTLs Immune Response Driven by Lévy Jumps
AUTHORS:
Yan Cheng, Leilei Qu
KEYWORDS:
HIV-1 Infection, Lévy Jump, CTLs Immune Response, Persistence in Mean
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.10 No.3,
March
9,
2022
ABSTRACT: This paper mainly investigates the effect of the lévy jumps on the stochastic HIV infection model with cytotoxic T lymphocytes (CTLs) immune response. First, we prove that there is a unique global positive solution in any population dynamics, then we find sufficient conditions for the extinction of the disease. For proofing the persistence in mean, a special Lyapunov function be established, we obtain that if the infected CD4+ T-cells and virus particles will persistence in mean. Finally, numerical simulations are carried out to illustrate the theoretical results.