一类捕食-食饵模型平衡解的整体分歧

摘要

利用分歧理论和谱分析的方法研究了一类捕食-食饵模型平衡解的整体分歧，得到了在以d 为分歧参数的条件下，系统在半平凡解(θ0)附近出现分歧现象，得到了该模型正解存在的充分条件。%The global bifurcation of a positive steady-state solution for a kind of predator-prey model is investigated by the methods of spectral analysis and bifurcation theory. The bifurcation at the positive steady-state solution(θ,0)is acquired by treating d as a bifurcation parameter. Some sufficient conditions for the existence of positive solution are given.