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Abstract:
The existence of positive periodic solution of n-species ecological system with infinite delay (x) over dot (i) (t) = h(i) (t, x(t)) {bi (t, x(t)) - a(i) (t, x(t))x(i) (t) - integral(t)(-infinity) G(i)(t, s, x(1)(s),..., x(n) (s)) ds} i = 1,..., n is studied by the authors. Under the suitable conditions, the main results are obtained by using of the method developed by Wang [On the existence of periodic solutions of functional differential equations, Chinese Ann. Math. 10A(3) (1989) 366-372 (in Chinese)] and the essential Theorems 2.1-2.3 of Sawano [Exponential asymptotic stability for functional differential equations with infinite retardations, Tohoku Math. J. 31 (1979) 363-382]. Our results differ from the ones given by Wang (Positive periodic solutions of an n-species ecological system, Acta Math. Appl. Sinica 17(l) (1994) 1-8 (in Chinese)]. 0 2006 Elsevier B.V. All rights reserved.
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JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
ISSN: 0377-0427
Year: 2007
Issue: 2
Volume: 208
Page: 362-372
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: 0
SCOPUS Cited Count: 1
ESI Highly Cited Papers on the List: 0 Unfold All
WanFang Cited Count:
Chinese Cited Count:
30 Days PV: 1
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