Qualitative Analysis in a Predator-prey System With Undercrowding Effect and Stocking Rate

摘要

The predator-prey system with undercrowding effect and constant stocking rate is investigated. The sufficient conditions for the global stability of positive equilibrium and the uniqueness of the limit cycle are obtained. The sufficient condition of Hopf bifurcation is obtained by focus quantity. Finally, the numerical simulation result of population system is obtained by using the Matlab software.