一个特殊的三维捕食链非自治扩散系统的持续生存  

Persistence in a Special Three-Species Predator-Prey-Chain Nonautonomous Diffusive System

作　　者：董玲珍[1] 陈兰荪[1] 孙丽华[1] 

机构地区：[1]大连理工大学应用数学系,辽宁大连116023

出　　处：《数学的实践与认识》2005年第8期146-150,共5页Mathematics in Practice and Theory

摘　　要：对一个特殊的三种群非自治捕食链扩散系统进行讨论.其特殊之处在于扩散现象发生在构成捕食链的中间种群间.通过利用比较原理进行微分不等式的比较,得到了该系统持续生存的条件;分析了扩散运动对该系统种群动力学行为的影响.In this work, a special three-species predator-prey-chain nonautonomous diffusive system is considered, where diffusion occurs in the middle species consisting of predator-preychain. By comparing differential inequalities with comparison theorem, the conditions which guarantee the system to be persist are obtained ; further, based on these conditions, effects of diffusion on the population dynamical behavior are analyzed.

关 键 词：捕食链 持续生存 比较原理 扩散 非自治扩散系统 三维 微分不等式 动力学行为 三种群 扩散现象 

分 类 号：O175[理学—数学]