比率依赖的中立型Holling-Tànner的周期正解

Existence of Positive Periodic Solution of Neutral Holling-Tanner Functional Response

利用重合度理论中的Mawhin延拓定理,给出下列具有比率依赖的中立型Holling-Tanner捕食-被捕食系统{x′(t)=x(t)[a(t)-b(t)x(t-σ1)-ρx′1(t-σ2)]-m(t)x(t)y(t)/Ay(t)+x(t),y′(t)=y(t)[d(t)-f(t)y(t-τ)/x(t-τ)]}的周期正解的存在性,并推广已有文献中的相应结果.

Using Mawhin＇s continuation theorem,chapter 2considers the existence of positive periodic solutions of the following neutral ratio-dependent predator-prey system with Holling-Tanner functional response {x′（t）=x（t）[a（t）-b（t）x（t-σ1）-ρx′1（t-σ2）]-m（t）x（t）y（t）/Ay（t）＋x（t）,y′（t）=y（t）[d（t）-f（t）y（t-τ）/x（t-τ）]} Our results generalize the existing results in the corresponding paper.