庇护所效应对一类三种群食物链稳定性的影响

Effect of Prey Refuge on the Stability of a Three-species Food Chain

研究了一类具有食饵保护的三种群食物链模型,得到了各平衡点存在的充分条件,并且分析了各平衡点的局部性态,结合Hurwitz判据和Liapunov函数得到正平衡点全局渐近稳定的充分条件,首次分析并得到了庇护所效应对三种群食物链系统持久生存性的影响。

A three-species food chain model incorporating a prey refuge is investigated,the sufficient conditions for the existence of the equilibrium points are obtained,the locally quality of the equilibrium points are analyzed,the sufficient condition for the globally asymptotically stability of the positive equilibrium point is given by using the Hurwitz criterion and Liapunov function,the effect of prey refuge on the system permanence is discussed for the first time.