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Korean Mathematical Society JKMS

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J. Korean Math. Soc. 2003; 40(5): 869-881

Printed September 1, 2003

Copyright © The Korean Mathematical Society.

The existence of periodic solution of a two-patches Predator-Prey dispersion delay models with functional response

Zhengqiu Zhang and Zhicheng Wang

Hunan University

Abstract

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In this paper, a nonautonomous predator-prey dispersion delay models with functional response is studied. By using the continuation theorem of coincidence degree theory, the existence of a positive periodic solution for above models is established.

Keywords: positive periodic solution, predator-prey dispersion delay model, functional response, the continuation theorem of coincidence degree theory

MSC numbers: Primary 34K13, 34K60

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