A PREY-PREDATOR MODEL WITH MIGRATIONS AND DELAYS

作者:Al-Darabsah, Isam; Tang, Xianhua; Yuan, Yuan*
来源:Discrete and Continuous Dynamical Systems-Series B, 2016, 21(3): 737-761.
DOI:10.3934/dcdsb.2016.21.737

摘要

In this paper we propose a prey-predator model in multiple patches through the stage structured maturation time delay with migrations among patches. Focus on the case with two patches, we discuss the existence of equilibrium points and the uniform persistence. In particular, when the maturation times are the same in the patches, we study the local and global attractivity of boundary equilibrium point with general migration function and the local stability of the positive equilibrium with constant migration rate. Numerical simulations are provided to demonstrate the theoretical results, to illustrate the effect of the maturation time, the migration rate on the dynamical behavior of the system.