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Dynamical behavior of a stochastic multigroup staged-progression HIV model with saturated incidence rate and higher-order perturbations

Key Laboratory of Applied Statistics of MOE, School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, Jilin Province, P. R. China

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Daqing Jiang

https://orcid.org/0000-0002-7026-3127

College of Science, China University of Petroleum, Qingdao 266580, Shandong Province, P. R. China

Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, King Abdulaziz University, Jeddah, Saudi Arabia

E-mail Address: daqingjiang2010@hotmail.com

Corresponding author.

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https://doi.org/10.1142/S1793524521500510Cited by:5 (Source: Crossref)

Abstract

In this paper, we analyze a higher-order stochastically perturbed multigroup staged-progression model for the transmission of HIV with saturated incidence rate. We obtain sufficient conditions for the existence and uniqueness of an ergodic stationary distribution of positive solutions to the system by establishing a suitable stochastic Lyapunov function. In addition, we make up adequate conditions for complete eradication and wiping out the infectious disease. In a biological interpretation, the existence of a stationary distribution implies that the disease will prevail and persist in the long term. Finally, examples and numerical simulations are introduced to validate our theoretical results.

Keywords:

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