A stochastic SIS epidemic infectious diseases model with double stochastic perturbations.

Autor: Chen, Xingzhi, Tian, Baodan, Xu, Xin, Yang, Ruoxi, Zhong, Shouming
Předmět:
Zdroj: International Journal of Biomathematics; May2024, Vol. 17 Issue 4, p1-32, 32p
Abstrakt: In this paper, a stochastic SIS epidemic infectious diseases model with double stochastic perturbations is proposed. First, the existence and uniqueness of the positive global solution of the model are proved. Second, the controlling conditions for the extinction and persistence of the disease are obtained. Besides, the effects of the intensity of volatility ξ 1 and the speed of reversion 1 on the dynamical behaviors of the model are discussed. Finally, some numerical examples are given to support the theoretical results. The results show that if the basic reproduction number ℛ 0 s < 1 , the disease will be extinct, that is to say that we can control the threshold ℛ 0 s to suppress the disease outbreak. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index