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

[摘要] 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.

[学科分类] 航空航天科学

[关键词] Leslie–Gower predator prey model;Cannibalism;Stability