Ergodic stationary distribution of two stochastic tuberculosis models with imperfect vaccination and early and late latency

作     者：Qian Jiang Zhijun Liu 

作者机构：School of Mathematics and Statistics Hubei Minzu University EnshiHubei445000P.R.China 

出 版 物：《International Journal of Biomathematics》 (生物数学学报（英文版）)

年 卷 期：2023年第16卷第6期

页      面：27-56页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：National Natural Science Foundation of China 

主　　题：TB models random perturbations Markov switching ergodic stationary distribution extinction 

摘      要：This contribution probes into ergodic stationary distribution for two stochastic SVELIT(susceptible-vaccinated-early latent-late latent-infective-treated)tuberculosis(TB)models to observe the impact of white noises and color noises on TB control in random *** first investigate the existence and uniqueness of ergodic stationary distribution(EUESD)for the autonomous SVELIT model subject to white noises via the proper Lyapunov functions,and suficient conditions on the extinction of disease are ***,sufficient conditions for the EUESD and the extinction of disease for the SVELIT model with Markov switching are also ***,some numerical examples validate the theoretical *** s more,it has been observed that higher amplitude noises may lead to the eradication of TB,which is conducive to TB control.