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author:

Chen, Fengde (Chen, Fengde.) [1] (Scholars:陈凤德) | You, Minsheng (You, Minsheng.) [2]

Indexed by:

EI Scopus SCIE

Abstract:

Sufficient conditions are obtained for the permanence of the following integrodifferential model of mutualism dN(1)(t)/dt = r(1)(t)N-1(t) [K-1(t) + alpha(1)(t) integral(infinity)(0) J(2)(s)N-2(t - s)ds/1 + integral(infinity)(0) J(2)(s)N-2(t -s)ds - N-1(t - sigma(1)(t))], dN(2)(t)/dt = r(2)(t)N-2(t) [K-2(t) + alpha(2)(t) integral(infinity)(0) J(1)(.)(s)N-1(t - s)ds/1 + integral(infinity)(0) J(1)(s)N-1(t - s)ds - N-2(t - sigma(2)(t))], where r(i), K-i, alpha(i) and sigma(i), i = 1, 2 are continuous functions bounded above and below by positive constants. alpha(i) > K-i, i = 1, 2. J(i) is an element of C([0, + infinity), [0, + infinity)) and integral(infinity)(0) J(i)(s)ds = 1, i = 1, 2. (c) 2006 Elsevier Inc. All rights reserved.

Keyword:

delay integrodifferential equation mutualism model nonautonomous permanence

Community:

  • [ 1 ] Fujian Agr & Forestry Univ, Inst Appl Ecol, Fujian 350002, Peoples R China
  • [ 2 ] Fuzhou Univ, Coll Math & Comp Sci, Fujian 350002, Peoples R China

Reprint 's Address:

  • [You, Minsheng]Fujian Agr & Forestry Univ, Inst Appl Ecol, Fujian 350002, Peoples R China

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Source :

APPLIED MATHEMATICS AND COMPUTATION

ISSN: 0096-3003

Year: 2007

Issue: 1

Volume: 186

Page: 30-34

0 . 8 2 1

JCR@2007

3 . 5 0 0

JCR@2023

ESI Discipline: MATHEMATICS;

JCR Journal Grade:2

Cited Count:

WoS CC Cited Count: 0

SCOPUS Cited Count: 32

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 0

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