Non-existence of non-constant positive steady states of two Holling type-II predator-prey systems: Strong interaction case

Authors

Rui Peng
Rui Peng
Junping Shi, William & Mary
Junping Shi

Document Type

Article

Department/Program

Mathematics

Journal Title

Journal of Differential Equations

Pub Date

2009

Volume

247

Issue

3

First Page

866

Abstract

We prove the non-existence of non-constant positive steady state solutions of two reaction-diffusion predator-prey models with Holling type-II functional response when the interaction between the predator and the prey is strong. The result implies that the global bifurcating branches of steady state solutions are bounded loops. (C) 2009 Elsevier Inc. All rights reserved.

Recommended Citation

Peng, Rui; Peng, Rui; Shi, Junping; and Shi, Junping, Non-existence of non-constant positive steady states of two Holling type-II predator-prey systems: Strong interaction case (2009). Journal of Differential Equations, 247(3), 866-886.
10.1016/j.jde.2009.03.008

DOI

10.1016/j.jde.2009.03.008