Dynamic Behaviors of a Nonautonomous Impulsive Competitive System with the Effect of Toxic Substance
We firstly propose a nonautonomous impulsive Lotka-Volterra competitive system with the effect of toxic substance. Only one of the two species could produce toxic substance. Sufficient condition which guarantees the extinction of one of the species and the global attractivity of the other species is...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2018-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2018/6137910 |
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| _version_ | 1850174995727122432 |
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| author | Lijuan Chen Fengde Chen Liujuan Chen |
| author_facet | Lijuan Chen Fengde Chen Liujuan Chen |
| author_sort | Lijuan Chen |
| collection | DOAJ |
| description | We firstly propose a nonautonomous impulsive Lotka-Volterra competitive system with the effect of toxic substance. Only one of the two species could produce toxic substance. Sufficient condition which guarantees the extinction of one of the species and the global attractivity of the other species is obtained. We also present an example to verify our main results, which show that species still is possibly driven to extinction when only one of the two species produces toxic substances. The results of this paper supplement the existing results. |
| format | Article |
| id | doaj-art-d70d3b143acc44f6b2acd19a8d920699 |
| institution | OA Journals |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-d70d3b143acc44f6b2acd19a8d9206992025-08-20T02:19:33ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2018-01-01201810.1155/2018/61379106137910Dynamic Behaviors of a Nonautonomous Impulsive Competitive System with the Effect of Toxic SubstanceLijuan Chen0Fengde Chen1Liujuan Chen2College of Mathematics and Computer Science, Fuzhou University, Fuzhou, Fujian 350108, ChinaCollege of Mathematics and Computer Science, Fuzhou University, Fuzhou, Fujian 350108, ChinaDepartment of Science Training, Fujian Institute of Education, Fuzhou, Fujian 350025, ChinaWe firstly propose a nonautonomous impulsive Lotka-Volterra competitive system with the effect of toxic substance. Only one of the two species could produce toxic substance. Sufficient condition which guarantees the extinction of one of the species and the global attractivity of the other species is obtained. We also present an example to verify our main results, which show that species still is possibly driven to extinction when only one of the two species produces toxic substances. The results of this paper supplement the existing results.http://dx.doi.org/10.1155/2018/6137910 |
| spellingShingle | Lijuan Chen Fengde Chen Liujuan Chen Dynamic Behaviors of a Nonautonomous Impulsive Competitive System with the Effect of Toxic Substance Discrete Dynamics in Nature and Society |
| title | Dynamic Behaviors of a Nonautonomous Impulsive Competitive System with the Effect of Toxic Substance |
| title_full | Dynamic Behaviors of a Nonautonomous Impulsive Competitive System with the Effect of Toxic Substance |
| title_fullStr | Dynamic Behaviors of a Nonautonomous Impulsive Competitive System with the Effect of Toxic Substance |
| title_full_unstemmed | Dynamic Behaviors of a Nonautonomous Impulsive Competitive System with the Effect of Toxic Substance |
| title_short | Dynamic Behaviors of a Nonautonomous Impulsive Competitive System with the Effect of Toxic Substance |
| title_sort | dynamic behaviors of a nonautonomous impulsive competitive system with the effect of toxic substance |
| url | http://dx.doi.org/10.1155/2018/6137910 |
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