Extinction and persistence of a stochastic SICA epidemic model with standard incidence rate for HIV transmission

Extinction and persistence of a stochastic SICA epidemic model with standard incidence rate for HIV transmission

Abstract In this paper, a stochastic SICA epidemic model with standard incidence rate for HIV transmission is proposed. The sufficient conditions of the extinction and persistence in mean for the disease are established. Numerical simulations show that random perturbations can suppress disease outbr...

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Bibliographic Details
Main Authors: Xiaodong Wang, Chunxia Wang, Kai Wang
Format: Article
Language:English
Published: SpringerOpen 2021-05-01
Series:Advances in Difference Equations
Subjects:
SICA epidemic model
Extinction
Persistence in mean
Stochastic perturbation
Online Access:https://doi.org/10.1186/s13662-021-03392-y
Description
Summary:Abstract In this paper, a stochastic SICA epidemic model with standard incidence rate for HIV transmission is proposed. The sufficient conditions of the extinction and persistence in mean for the disease are established. Numerical simulations show that random perturbations can suppress disease outbreaks and the risk of HIV transmission can be reduced by reducing the transmission coefficient of HIV while increasing the strength of the stochastic perturbation.
ISSN:1687-1847

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