Dynamical behavior of a higher order stochastically perturbed HIV/AIDS model with differential infectivity and amelioration

Qun Liu and Daqing Jiang

Chaos, Solitons & Fractals, 2020, vol. 141, issue C

Abstract: In this paper, we study the dynamical behavior of a higher order stochastically perturbed HIV/AIDS model with differential infectivity and amelioration. We derive sufficient criteria for the existence and uniqueness of an ergodic stationary distribution of positive solutions to the system by establishing a series of suitable Lyapunov functions. In a biological point of view, the existence of a stationary distribution indicates that the infectious disease will be prevalent and persistent in the population. Moreover, we make up adequate criteria for complete eradication and wiping out of the infectious disease. Finally, we introduce some numerical simulations to confirm the theoretical results.

Keywords: HIV/AIDS model; Differential infectivity; Amelioration; Stationary distribution; Ergodicity; Extinction (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (5)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:141:y:2020:i:c:s0960077920307281

DOI: 10.1016/j.chaos.2020.110333

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