Effects of cross-diffusion for a prey-predator system in a heterogeneous environment

Date

2019-03-22

Authors

Dong, Yaying
Li, Shanbing
Li, Yanling

Journal Title

Journal ISSN

Volume Title

Publisher

Texas State University, Department of Mathematics

Abstract

This article concerns the stationary problem of a cross-diffusion prey-predator system with a protection zone for the prey. We first give the necessary condition and sufficient condition for the existence of coexistence states of the two species, by applying the bifurcation theory. Furthermore, the asymptotic behavior of coexistence states is established as the cross-diffusion coefficient of the prey tends to infinity. We also analyze the corresponding limiting system.

Description

Keywords

Prey-predator model, Cross-diffusion, Protection zone, Stationary

Citation

Dong, Y., Li, S., & Li, Y. (2019). Effects of cross-diffusion for a prey-predator system in a heterogeneous environment. <i>Electronic Journal of Differential Equations, 2019</i>(44), pp. 1-14.

Rights

Attribution 4.0 International

Rights Holder

This work is licensed under a Creative Commons Attribution 4.0 International License.

Rights License