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Volume 33, Issue 4
Dynamic Behaviours of an Autonomous Stage-Structured Competitive Systems with Toxic Effect

Liqiong Pu & Xiangdong Xie

Ann. Appl. Math., 33 (2017), pp. 400-416.

Published online: 2022-06

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  • Abstract

An autonomous stage-structured competitive systems with toxic effect is investigated in this paper. Sufficient conditions which guarantee the global attractivity of the system and the extinction of the partial species are obtained, respectively. Our results supplement and complement one of the main results of Liu and Li [Global stability analysis of a nonautonomous stage-structured competitive system with toxic effect and double maturation delays, Abstract and Applied Analysis, Volume 2014, Article ID 689573, 15 pages].

  • Keywords

global attractivity, extinction, delay, toxic substance.

  • AMS Subject Headings

34C25, 92D25, 34D20, 34D40

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{AAM-33-400, author = {Pu , Liqiong and Xie , Xiangdong}, title = {Dynamic Behaviours of an Autonomous Stage-Structured Competitive Systems with Toxic Effect}, journal = {Annals of Applied Mathematics}, year = {2022}, volume = {33}, number = {4}, pages = {400--416}, abstract = {

An autonomous stage-structured competitive systems with toxic effect is investigated in this paper. Sufficient conditions which guarantee the global attractivity of the system and the extinction of the partial species are obtained, respectively. Our results supplement and complement one of the main results of Liu and Li [Global stability analysis of a nonautonomous stage-structured competitive system with toxic effect and double maturation delays, Abstract and Applied Analysis, Volume 2014, Article ID 689573, 15 pages].

}, issn = {}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/aam/20620.html} }
TY - JOUR T1 - Dynamic Behaviours of an Autonomous Stage-Structured Competitive Systems with Toxic Effect AU - Pu , Liqiong AU - Xie , Xiangdong JO - Annals of Applied Mathematics VL - 4 SP - 400 EP - 416 PY - 2022 DA - 2022/06 SN - 33 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/aam/20620.html KW - global attractivity, extinction, delay, toxic substance. AB -

An autonomous stage-structured competitive systems with toxic effect is investigated in this paper. Sufficient conditions which guarantee the global attractivity of the system and the extinction of the partial species are obtained, respectively. Our results supplement and complement one of the main results of Liu and Li [Global stability analysis of a nonautonomous stage-structured competitive system with toxic effect and double maturation delays, Abstract and Applied Analysis, Volume 2014, Article ID 689573, 15 pages].

Pu , Liqiong and Xie , Xiangdong. (2022). Dynamic Behaviours of an Autonomous Stage-Structured Competitive Systems with Toxic Effect. Annals of Applied Mathematics. 33 (4). 400-416. doi:
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