Affiliation:
1. School of Mathematical Science, Harbin Normal University, Harbin 150025, P. R. China
Abstract
A diffusive Gause type predator–prey system with Allee effect in prey growth and Holling type III response subject to Neumann boundary conditions is investigated. Existence of nonconstant positive steady state solutions is proved by Leray–Schauder degree theory and bifurcation theory. Global stability of the positive equilibrium of the system is also investigated. Moreover, bifurcations of spatially homogeneous and nonhomogeneous periodic solutions are analyzed. Our rigorous results justify some recent ecological observations.
Funder
National Natural Science Foundation of China (CN)
Provincial Natural Science Foundation of Heilongjiang of China
Heilongjiang Provincial Department of Education Foundation
Publisher
World Scientific Pub Co Pte Lt
Subject
Applied Mathematics,Modeling and Simulation,Engineering (miscellaneous)
Cited by
8 articles.
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