具有Holling-Ⅴ型功能性捕食模型的稳定性分析(英文)

Steady States of a Predator-Prey System with Holling Type Ⅴ Functional Response

研究了一类具有Holling-Ⅴ型功能性响应函数的捕食模型的齐次Neumann边界问题.首先,利用算子谱理论研究了正常数平衡解的一致渐近稳定性和不稳定性.其次,给出正的稳态解的先验估计(正的上下界).最后,通过适当的能量积分和拓扑度理论检验了非常数稳态解的存在性和不存在性.

A predator-prey system with Holling type Ⅴ functional response subject to the homogeneous Neumann boundary condition is considered.Firstly,the stability of the positive constant solutions of the system are discussed by using operator spectrum theory.Then,a priori estimates（positive upper and lower bounders） for the positive steady solutions are given.Finally,by means of using appropriate energy integrals and topologi