Existence of Positive Periodic Solutions of Discrete Predator-Prey System With Infinite Delays

Abstract

Abstract: The differential model of periodic Predator-Prey with three species is studied.The existence of positive periodic solution of this system with infinite delays is discussed by using the topologic theory.It is proved that the ample conditions for the existence of positive periodic solution of this system are as follows:(ⅰ)r-1a-32-r-3a-12ｅｘｐ（2r-2ω）＞0；（ⅱ）r-1a-32-r-3a-12ｅｘｐ（2r-2ω）-r-2a-11a-32ｅｘｐ（2r-1ω）＜0；（ⅲ）-a-32a-12r-1＋a-32a-11r-2＋a-21a-12r-3＜0．

Key words: Predator-Prey system, positive periodic solution, infinite delays, discrete, topologic degree

JIANG Li-Qun, MO Hong-Min. Existence of Positive Periodic Solutions of Discrete Predator-Prey System With Infinite Delays[J]. journal6, 2003, 24(2): 52-56.

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Existence of Positive Periodic Solutions of Discrete Predator-Prey System With Infinite Delays

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