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author:

Chen, Fengde (Chen, Fengde.) [1] (Scholars:陈凤德) | Li, Zhong (Li, Zhong.) [2] (Scholars:李忠) | Chen, Xiaoxing (Chen, Xiaoxing.) [3] (Scholars:陈晓星) | Laitochova, Jitka (Laitochova, Jitka.) [4]

Indexed by:

EI Scopus SCIE

Abstract:

In this paper, we consider a modified delay differential equation model of the growth of n-species of plankton having competitive and allelopathic effects on each other. We first obtain the sufficient conditions which guarantee the permanence of the system. As a corollary, for periodic case, we obtain a set of delay-dependent condition which ensures the existence of at least one positive periodic solution of the system. After that, by means of a suitable Lyapunov functional, sufficient conditions are derived for the global attractivity of the system. For the two-dimensional case, under some suitable assumptions, we prove that one of the components will be driven to extinction while the other will stabilize at a certain solution of a logistic equation. Examples show the feasibility of the main results. (C) 2006 Elsevier B.V. All rights reserved.

Keyword:

competition extinction global attractivity Lyapunov functional permanence toxicology

Community:

  • [ 1 ] Fuzhou Univ, Coll Math & Comp Sci, Fujian 350002, Peoples R China
  • [ 2 ] Palacky Univ, Fac Educ, Dept Math, CR-77147 Olomouc, Czech Republic

Reprint 's Address:

  • 陈凤德

    [Chen, Fengde]Fuzhou Univ, Coll Math & Comp Sci, Fujian 350002, Peoples R China

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Source :

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

ISSN: 0377-0427

Year: 2007

Issue: 2

Volume: 206

Page: 733-754

0 . 9 4 3

JCR@2007

2 . 1 0 0

JCR@2023

ESI Discipline: MATHEMATICS;

JCR Journal Grade:2

Cited Count:

WoS CC Cited Count: 52

SCOPUS Cited Count: 51

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 1

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