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

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.

Automated summary

This paper introduces a stochastic SICA epidemic model with standard incidence rate for HIV transmission, and establishes the sufficient conditions for disease extinction and persistence. Numerical simulations demonstrate that random perturbations can suppress disease outbreaks, and reducing the transmission coefficient of HIV while increasing the strength of stochastic perturbation can decrease the risk of HIV transmission.