Chinese Quarterly Journal of Mathematics >

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

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

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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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

Cite this article

BAI Hong-fang, XU Rui . Global Stability of An Eco-epidemiological Model with Beddington-DeAngelis Functional Response and Delay[J]. Chinese Quarterly Journal of Mathematics, 2019 , 34(4) : 397 -409 . DOI: 10.13371/j.cnki.chin.q.j.m.2019.04.006

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