一类带有Holling type-Ⅲ功能反应的捕食-食饵系统的定性分析

Qualitative analysis in a predator-prey system with Holling type-Ⅲ functional response

对一类带有Holling type-Ⅲ功能反应的捕食-食饵系统进行了研究,分析了解的有界性和保持性,讨论了平衡点的局部稳定性,并研究了Hopf分支的存在性.

A predator-prey system with Holling type-Ⅲ functional response is investigated.The boundedness and permanence ofthe solutions are analyzed.The local stability of the positive equilibrium is determined.The existence of Hopf bifurcation is investigated.