一类食饵为Smith增长的捕食系统的定性分析

Qualitative Analysis of a Predator-Prey System with Smith Growth for Prey

本文研究了齐次Neumann边界条件下一类具有Smith增长项和HollingⅢ型功能反应项的捕食食饵模型.首先,讨论了正常数平衡解的局部稳定性;其次,给出正平衡解的先验估计;最后,得到了非常数正平衡解不存在与存在的充分条件.

A Holling type-III predator-prey model with Smith growth subject to the homogeneous Neumann boundary condition is investigated in this paper.Firstly,the local stability of positive constant steady state solution is discussed.Secondly,we give a prior estimate of positive solutions.Finally,some sufficient conditions for the nonexistence and existence of nonconstant positive steady state solutions are derived.