• Stochastic HIV/AIDS dynamics with discrete and distributed delays

• # Fulltext

https://www.ias.ac.in/article/fulltext/pram/096/0022

• # Keywords

Stochastic HIV/AIDS model; discrete and distributed delays; extinction; stochastic stability; sensitivity analysis.

• # Abstract

In this paper, a stochastic delayed HIV/AIDS model involving humans with immunity is formulated.We study the dynamics of the mathematical model of HIV/AIDS epidemic with discrete and distributed delays. The basic reproduction number R$^d$$_0 of the deterministic model and of the corresponding stochastic model are identified. Using appropriate Lyapunov functionals, we obtain sufficient conditions for the extinction of the disease by studying the dynamics of the disease-free equilibrium E_0. We show the regions of stability of E_0 and some computer simulations are carried out to present the effect of the stochastic environmental noise and the delay tactics. Sensitivity of R^s$$_0$ with respect to the noise parameter σ and the delay $\tau$ is shown. Our study shows that the increase in the delay tactics and the noise help in the possible extinction, as needed.

• # Author Affiliations

1. Mathematics Department, Faculty of Science, Mansoura University, Mansoura 35516, Egypt
2. Basic Sciences Department, Faculty of Engineering, The British University in Egypt, Cairo, Egypt

• # Pramana – Journal of Physics

Volume 96, 2022
All articles
Continuous Article Publishing mode

• # Editorial Note on Continuous Article Publication

Posted on July 25, 2019