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author:

Chen, Lijuan (Chen, Lijuan.) [1] | Sun, Jitao (Sun, Jitao.) [2] | Chen, Fengde (Chen, Fengde.) [3] (Scholars:陈凤德) | Zhao, Liang (Zhao, Liang.) [4]

Indexed by:

EI Scopus SCIE

Abstract:

In this paper, an impulsive Lotka-Volterra competitive system with the effect of toxic substances is considered. By using some analytical technique, we prove that under certain conditions the species x(2) of the system will be driven to extinction while the species x(1) will be globally attractive with any positive solution of an impulsive Logistic equation. As a result, we extend the principle of competitive exclusion to a T-periodic competitive system with impulse and toxic substances. The main result in this paper is a good extension and supplement that of Li and Chen (2006). Furthermore, the obtained results supplement the results of Liu et al. (2009). (C) 2015 Elsevier Inc. All rights reserved.

Keyword:

Delay Extinction Global stability Impulse Plankton allelopathy

Community:

  • [ 1 ] [Chen, Lijuan]Tongji Univ, Dept Math, Shanghai 200092, Peoples R China
  • [ 2 ] [Sun, Jitao]Tongji Univ, Dept Math, Shanghai 200092, Peoples R China
  • [ 3 ] [Chen, Lijuan]Fuzhou Univ, Coll Math & Comp Sci, Fuzhou 350108, Fujian, Peoples R China
  • [ 4 ] [Chen, Fengde]Fuzhou Univ, Coll Math & Comp Sci, Fuzhou 350108, Fujian, Peoples R China
  • [ 5 ] [Zhao, Liang]Fuzhou Univ, Coll Math & Comp Sci, Fuzhou 350108, Fujian, Peoples R China

Reprint 's Address:

  • [Sun, Jitao]Tongji Univ, Dept Math, Shanghai 200092, Peoples R China

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Source :

APPLIED MATHEMATICAL MODELLING

ISSN: 0307-904X

Year: 2016

Issue: 3

Volume: 40

Page: 2015-2024

2 . 3 5

JCR@2016

4 . 4 0 0

JCR@2023

ESI Discipline: ENGINEERING;

ESI HC Threshold:177

JCR Journal Grade:1

CAS Journal Grade:2

Cited Count:

WoS CC Cited Count: 21

SCOPUS Cited Count: 21

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 1

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