2000 character limit reached
Dynamics of a prey-predator system with modified Leslie-Gower and Holling type II schemes incorporating a prey refuge (1802.05967v4)
Published 16 Feb 2018 in math.PR and math.DS
Abstract: We study a modified version of a prey-predator system with modified Leslie-Gower and Holling type II functional response studied by M.A. Aziz-Alaoui and M. Daher-Okiye. The modification consists in incorporating a refuge for preys, and substantially complicates the dynamics of the system. We study the local and global dynamics and the existence of cycles. We also investigate conditions for extinction or existence of a stationary distribution, in the case of a stochastic perturbation of the system.