Asymptotic analysis of a nonlinear stochastic eco-epidemiological system with feedback control  

作　　者：ZHANG Sheng-qiang MENG Xin-zhu 

机构地区：[1]College of Mathematics and Systems Science,Shandong University of Science and Technology,Qingdao 266590,China [2]Business School,University of Shanghai for Science and Technology,Shanghai 200093,China

出　　处：《Applied Mathematics(A Journal of Chinese Universities)》2022年第3期317-339,共23页高校应用数学学报（英文版）（B辑）

基　　金：supported by the Research Fund for the Taishan Scholar Project of Shandong Province of China,Shandong Provincial Natural Science Foundation of China(ZR2019MA003)。

摘　　要：This paper proposes a new stochastic eco-epidemiological model with nonlinear incidence rate and feedback controls.First,we prove that the stochastic system has a unique global positive solution.Second,by constructing a series of appropriate stochastic Lyapunov functions,the asymptotic behaviors around the equilibria of deterministic model are obtained,and we demonstrate that the stochastic system exists a stationary Markov process.Third,the conditions for persistence in the mean and extinction of the stochastic system are established.Finally,we carry out some numerical simulations with respect to different stochastic parameters to verify our analytical results.The obtained results indicate that the stochastic perturbations and feedback controls have crucial effects on the survivability of system.

关 键 词：stochastic eco-epidemiological model stationary markov process feedback controls asymptotic behavior persistence in the mean 

分 类 号：R181[医药卫生—流行病学] O211.6[医药卫生—公共卫生与预防医学]