Extinction of a Discrete Competitive System with Beddington-DeAngelis Functional Response and the Effect of Toxic Substances
Year: 2020
Author: Jiangbin Chen, Shengbin Yu
Annals of Applied Mathematics, Vol. 36 (2020), Iss. 4 : pp. 356–378
Abstract
In this paper, we consider a discrete competitive system with Beddington-DeAngelis functional response and the effect of toxic substances. By constructing some suitable Lyapunov type extinction functions, sufficient conditions which guarantee the extinction of a species and global attractivity of the other one are obtained. Our results not only supplement and improve but also generalize some existing ones. Numerical simulations show the feasibility of our results.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2020-AAM-18581
Annals of Applied Mathematics, Vol. 36 (2020), Iss. 4 : pp. 356–378
Published online: 2020-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 23
Keywords: discrete competitive system Beddington-DeAngelis functional response extinction toxic substances.