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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.
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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
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WoS CC Cited Count: 0
SCOPUS Cited Count: 32
ESI Highly Cited Papers on the List: 0 Unfold All
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30 Days PV: 0
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