具有阶段结构的竞争系统中自食的稳定性作用  

Stabilizing Effectof Cannibalism on a Structured Competitive System

作　　者：肖燕妮[1] 陈兰荪[1] 

机构地区：[1]中国科学院数学与系统科学研究院,北京100080

出　　处：《数学物理学报（A辑）》2002年第2期210-216,共7页Acta Mathematica Scientia

基　　金：国家自然科学基金资助项目

摘　　要：该文讨论了两种群竞争系统解的动力学行为 ,其中一种群分幼年、成年两阶段 .当不考虑自食时 ,得到了阶段结构的竞争系统也可以出现三种典型的动力学行为 :共存 (coexistence)、双稳定(bistability)、占优 (dominance) .进一步 ,在没有自食时竞争系统是占优的情形下 ,考虑自食的影响 ,得到了所有种群永久持续生存的充分条件 。The dynamics of a two species competitive system,where on of the species has two stages,an immature stage and a mature stage,are modeled by a system of three ordinary differential equations.It is shown that three typical dynamical behaviors,i.e.,coexistence, bistability and dominaance are possible in stage- structured competitive system in the absence of cannibalism.Further,criteria for permanence of all populations are determined in the case when the competitor which has only one stage becomes exitnction in the absence of cannibalism.This shows cannibalism has stabilizing effect.

关 键 词：竞争系统 自食 阶段结构 永久持续生存 

分 类 号：O175[理学—数学] Q141[理学—基础数学]