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

白宏芳, 徐瑞

doi:10.13371/j.cnki.chin.q.j.m.2019.04.006

数学季刊 >

2019 , Vol. 34 >Issue 4: 397 - 409

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2019.04.006

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

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1. Faculty of Science and Technology, University of Macau 2. Complex Systems Research Center, Shanxi University

收稿日期: 2016-12-17

网络出版日期: 2020-02-21

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

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1. Faculty of Science and Technology, University of Macau 2. Complex Systems Research Center, Shanxi University

Received date: 2016-12-17

Online published: 2020-02-21

Supported by

supported by the National Natural Science Foundation of China(No.11371368)and(No.11871316)

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白宏芳, 徐瑞 . 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[J]. 数学季刊, 2019 , 34(4) : 397 -409 . DOI: 10.13371/j.cnki.chin.q.j.m.2019.04.006

Abstract

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.

Key words： Eco-epidemiological model; delay; Laselle's invariance principle; global stability

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