WSEAS Transactions on Systems
Print ISSN: 1109-2777, E-ISSN: 2224-2678
Volume 21, 2022
Global Stability of the Positive Equilibrium of a Leslie-Gower Predator-Prey Model Incorporating Predator Cannibalism
Authors: , ,
Abstract: A Leslie-Gower predator prey model with Holling II type cannibalism term on predator species is proposed and studied in this paper. By constructing a suitable Lyapunov function, we show that if the positive equilibrium exist, it is globally asymptotically stable. Our study indicates that suitable cannibalism has no influence on the persistent property of the system, however, cannibalism could reduce the final density of the predator species and increase the final density of the prey species. Excessive cannibalism may enhance the possibility of extinction to the predator species.