Global Stability of An Eco-epidemiological Model with Beddington-DeAngelis Functional Response and Delay  

一类具有Beddington-DeAngelis功能性反应的时滞生态流行病的全局稳定性（英文）

作　　者：BAI Hong-fang XU Rui 

机构地区：[1]Faculty of Science and Technology,University of Macao,Macao Special Administrative Region,China [2]Complex Systems Research Center,Shanxi University,Taiyuan,030006,China

出　　处：《Chinese Quarterly Journal of Mathematics》2019年第4期397-409,共13页数学季刊（英文版）

基　　金：This work was supported by the National Natural Science Foundation of China(No.11371368)and(No.11871316)。

摘　　要：In this paper,an eco-epidemiological model with Beddington-DeAngelis functional response and a time delay representing the gestation period of the predator is studied.By means of Lyapunov functionals and Laselle’s invariance principle,sufficient conditions are obtained for the global stability of the interior equilibrium and the disease-free equilibrium of the system,respectively.In this paper,an eco-epidemiological model with Beddington-DeAngelis functional response and a time delay representing the gestation period of the predator is studied.By means of Lyapunov functionals and Laselle’s invariance principle,sufficient conditions are obtained for the global stability of the interior equilibrium and the disease-free equilibrium of the system,respectively.

关 键 词：Eco-epidemiological model DELAY Laselle’s invariance principle global stability 

分 类 号：O175.13[理学—数学]