Global attractivity of Leslie–Gower predator-prey model incorporating prey cannibalism

Abstract

Abstract Leslie–Gower predator prey model with Holling II type cannibalism term is proposed and studied in this paper. Local and global stability properties of the system are investigated. Our study indicates that cannibalism has no influence on the local stability property of the equilibrium, which is quite different to the known results. Numeric simulations are carried out to show the feasibility of the main results.

Keywords

• Leslie–Gower predator prey model
• Cannibalism
• Stability