Extinction of a two species competitive stage-structured system with the effect of toxic substance and harvesting-Reference-Cited by-同舟云学术

Extinction of a two species competitive stage-structured system with the effect of toxic substance and harvesting

Published:2019-07-31 Issue:1 Volume:17 Page:856-873
ISSN:2391-5455
Container-title:Open Mathematics
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Author:

Huang Xiaoyan¹,Chen Fengde¹,Xie Xiangdong²,Zhao Liang³

Affiliation:

1. College of Mathematics and Computer Science, Fuzhou University, Fuzhou, Fujian 350108, P. R. China

2. Department of Mathematics, Ningde Normal University, Ningde, Fujian, 352300, P. R. China

3. School of Information and Statistics, Guangxi University of Finance and Economics„, Nanning, Guangxi, 530003, P. R. China

Abstract

Abstract The extinction property of a two species competitive stage-structured phytoplankton system with harvesting is studied in this paper. Several sets of sufficient conditions which ensure that one of the components will be driven to extinction are established. Our results supplement and complement the results of Li and Chen [Extinction in periodic competitive stage-structured Lotka-Volterra model with the effects of toxic substances, J. Comput. Appl. Math., 2009, 231(1), 143-153] and Liu, Chen, Luo et al. [Extinction and permanence in nonautonomous competitive system with stage structure, J. Math. Anal. Appl., 2002, 274(2), 667-684].

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/math-2019-0067/pdf

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