研究了一类基于定比率和具有第三类功能性反应的捕食一食饵模型.主要讨论了常数解的稳定性及正平衡解的先验估计,给出了非常数正平衡解不存在条件,同时利用度理论研究了非常数正平衡解的存在性条件.
In this paper, a ratio-dependent predator-prey system with Holling-Ⅲ functional response is considered. The locally asmptotic stability for the constant solution and the prior estimates of the positive steady state are discussed, and the conditions of non-existence of non-constant positive steady state are given. At the same time, the existence of non-constant positive steady state are studied mainly through the degree theorem.