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Periodic Solution of a Nonautonomous Diffusive Food Chain System of Three Species with Time Delays

Periodic Solution of a Nonautonomous Diffusive Food Chain System of Three Species with Time Delays
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摘要 By using the continuation theorem of coincidence degree theory, the existence of a positive periodic solution for a nonautonomous diffusive food chain system of three species.is established, where ri(t), aii(t) (i = 1.2,3,4), Di(t) (i = 1,2), a12(t), a21(t), a23(t) and a32(t) are all positive periodic continuous functions with period w > 0, Ti(i = 1,2) are positive constants. By using the continuation theorem of coincidence degree theory, the existence of a positive periodic solution for a nonautonomous diffusive food chain system of three species.is established, where ri(t), aii(t) (i = 1.2,3,4), Di(t) (i = 1,2), a12(t), a21(t), a23(t) and a32(t) are all positive periodic continuous functions with period w > 0, Ti(i = 1,2) are positive constants.
出处 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2003年第4期691-702,共12页 应用数学学报(英文版)
基金 Supported by the National Natural Science Foundation of China (No.19971026,10271044).
关键词 Diffusive food chain system positive periodic solution the continuation theorem of coincidence degree topological degree Diffusive food chain system, positive periodic solution, the continuation theorem of coincidence degree, topological degree
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