Document Type
Article
Department/Program
Mathematics
Journal Title
Journal of Differential Equations
Pub Date
2012
Volume
253
Issue
12
First Page
3440
Abstract
A reaction-diffusion model with logistic type growth, nonlocal delay effect and Dirichlet boundary condition is considered, and combined effect of the time delay and nonlocal spatial dispersal provides a more realistic way of modeling the complex spatiotemporal behavior. The stability of the positive spatially nonhomogeneous positive equilibrium and associated Hopf bifurcation are investigated for the case of near equilibrium bifurcation point and the case of spatially homogeneous dispersal kernel. (C) 2012 Elsevier Inc. All rights reserved.
Recommended Citation
Shi, Junping and Chen, Shanshan, Stability and Hopf bifurcation in a diffusive logistic population model with nonlocal delay effect (2012). Journal of Differential Equations, 253(12), 3440-3470.
10.1016/j.jde.2012.08.031
DOI
10.1016/j.jde.2012.08.031
