Global Bifurcation of Positive Steady-State Solutions for a Classof Predator-Prey Model
一类捕食——食饵模型正平衡解的整体分歧

In this paper the structure of a predator-prey model with modified Leslie-Gower and Holling-Type II schemes is investigated. By use of the theorems of local bifurcation and global bifurcation theory, we get the ralationship between the existence of positive solutions for the system and bifurcation parameter $b$-the birth-rate of predator $v$, that is, the system has coexistence positive solutions when $b$ is in a proper range.