具有群体防卫能力简单食物链的Hopf分歧

A Hopf Bifurcation of Simple Food Chain with Group Defence

本文考虑一类简单食物链模型,其中被捕食者对于第一捕食者具有群体防卫能力.并且应用Hopf分歧理论讨论了该模型产生分歧的条件;证明了中心流形的存在性;得到了小振幅周期解的渐近表达式和稳定性判据.

This paper considers a class of one-linear 3-species models of simple food chains. in which the prey exibits group defence with respect to the first predator. Using Hopf bifurcatiom theorem, its main purpose is to discuss the conditions of Hopf bifurcation, to prove the existence of center-manifolds and to obtain the bifuncating periodic solutions and stable criteria.