Extinction of a two species non-autonomous competitive system with Beddington-DeAngelis functional response and the effect of toxic substances-Reference-Cited by-同舟云学术

Extinction of a two species non-autonomous competitive system with Beddington-DeAngelis functional response and the effect of toxic substances

Published:2016-01-01 Issue:1 Volume:14 Page:1157-1173
ISSN:2391-5455
Container-title:Open Mathematics
language:
Short-container-title:

Author:

Chen Fengde¹,Chen Xiaoxing¹,Huang Shouying¹

Affiliation:

1. 1 College of Mathematics and Computer Sciences, Fuzhou University, Fuzhou, Fujian, 350202, China

Abstract

AbstractA two species non-autonomous competitive phytoplankton system with Beddington-DeAngelis functional response and the effect of toxic substances is proposed and studied in this paper. Sufficient conditions which guarantee the extinction of a species and global attractivity of the other one are obtained. The results obtained here generalize the main results of Li and Chen [Extinction in two dimensional nonautonomous Lotka-Volterra systems with the effect of toxic substances, Appl. Math. Comput. 182(2006)684-690]. Numeric simulations are carried out to show the feasibility of our results.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/math-2016-0099/pdf

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