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捕食者一食Lotka—Volterra系统的概周期解
引用本文:李智军,何继伟. 捕食者一食Lotka—Volterra系统的概周期解[J]. 工科数学, 2009, 0(6): 29-35
作者姓名:李智军  何继伟
作者单位:[1]保定电力职业技术学院,保定071051 [2]华北电力大学数理学院,保定071003
摘    要:研究了有m个捕食者n个食饵的概周期Lotka—Volterra系统.得到了系统共存的条件.此外,还得到了系统概周期解存在唯一并且全局渐近稳定的条件.

关 键 词:概周期解  Lotka—Volterra系统  全局渐近稳定

Almost Periodic Solution of Predator-Prey Lotka-Volterra System
LI Zhi-jun,HE Ji-wei. Almost Periodic Solution of Predator-Prey Lotka-Volterra System[J]. Journal of Mathematics For Technology, 2009, 0(6): 29-35
Authors:LI Zhi-jun  HE Ji-wei
Affiliation:1. Baoding Electric Power Vocational and Technical College, Baoding 071051, China; 2. School of Mathematics and Physics, North China Electric Power University, Baoding 071003,China)
Abstract:We study an almost periodic Lotka-Volterra system with m-predators and n-preys. The coexistence of the system under some conditions is obtained. Furthermore, we get some sufficient conditions that guarantee the existence, uniqueness and global asymptotic stability of the almost periodic solution.
Keywords:almost periodic solution  Lotka Volterra system  globally asymptotically stable
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