具有无限时滞离散的Predator-Prey系统周期正解的存在性
Existence of Positive Periodic Solutions of Discrete Predator-Prey System With Infinite Delays
摘要
研究了具有三个物种周期的Predator-Prey差分模型,用拓扑度理论讨论了具有无限时滞差分系统的周期正解的存在性,证明了具有无限时滞差分系统的正周期解存在的充分条件为:(ⅰ) r1 a32- r3 a12exp(2 r2ω)>0;(ⅱ) r1 a32- r3 a12exp(2 r2ω)- r2 a11 a32exp(2 r1ω)<0;(ⅲ)- a32 a12 r1+ a32 a11 r2+ a21 a12 r3<0.
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)132-312exp(22ω)>0;(ⅱ)132-312exp(22ω)-21132exp(21ω)<0;(ⅲ)-32121+32112+21123<0.
出处
《吉首大学学报（自然科学版）》
CAS
2003年第2期52-56,共5页
Journal of Jishou University(Natural Sciences Edition)
参考文献4
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