Author(s)

Yan Cheng^1*, Leilei Qu²

¹School of Mathematical, Taiyuan University of Technology, Taiyuan, China.
²School of Information Engineering, Dalian Ocean University, Dalian, China.

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.

HIV-1 Infection, Lévy Jump, CTLs Immune Response, Persistence in Mean

Cheng, Y. and Qu, L. (2022) Stochastic HIV Infection Model with CTLs Immune Response Driven by Lévy Jumps. Journal of Applied Mathematics and Physics, 10, 714-730. doi: 10.4236/jamp.2022.103051.