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Positive Periodic Solution of a Periodic Cooperative Model with State Dependent Delays

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By using the continuation theorem of coincidence degree theory, sufficient conditions are obtained for the existence of positive periodic solution for the periodic cooperative system with state dependent delays where ri, ai, ci, i = 1, 2 are positive continuous -periodic functions, bi, i = 1, 2 are nonnegative continuous -periodic functions, and ij, i = 1, 2; j = 1, 2, 3 are nonnegative continuous functions and -periodic with respect to their first argument.

Keywords: Cooperative system; Positive periodic solution; State dependent delay

Document Type: Research Article

Affiliations: Department of Mathematics, Yunnan University, Kunming, Yunnan 650091, P.R. China

Publication date: 01 January 2003

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