Dynamics of a modified Leslie-Gower predator-prey model with Holling-type II schemes and a prey refuge.
We propose a modified Leslie-Gower predator-prey model with Holling-type II schemes and a prey refuge. The structure of equilibria and their linearized stability is investigated. By using the iterative technique and further precise analysis, sufficient conditions on the global attractivity of a positive equilibrium are obtained. Our results not only supplement but also improve some existing ones. Numerical simulations show the feasibility of our results.
College of Finance and Mathematics, West Anhui University, Liuan, 237000 Anhui People's Republic of China.
Qin
Q
Yue
Equilibrium; Global attractivity; Iterative; Leslie–Gower; Refuge