Global stability and periodic orbits for two-patch predator-prey diffusion-delay models
A mathematical model for a one-prey, one-predator system in which the prey can diffuse between one patch with little food and no predation and one patch with much food but with predation is investigated. After transforming the corresponding system of integrodifferential equations into a system of ordinary differential equations, sufficient conditions for the boundedness of solutions and existence of a nonzero globally stable equilibrium are derived. Moreover, it is shown that a Hopf bifurcation may occur if the predator is not self-regulating.
two-patch predator-prey diffusion- delay models
sufficient conditions for the boundedness of solutions
existence of a nonzero globally stable equilibrium
scientific article; zbMATH DE number 4033567
scientific article