Local and Global Bifurcation and Its Applications in a Predator-Prey System with Several Parameters

摘要

A predator-prey system, depending on several parameters, is investigated for bifurcation of equilibria, Hopf bifurcation, global bifurcation occurring saddle connection, and global existence and non-existence of limit cycles, and changes of the topological structure of trajectory as parameters are varied. (author). 8 refs, 4 figs. (Atomindex citation 20:025976)