Thumbnail Image
Publication

Stability and Hopf bifurcation in a diffusive logistic population model with nonlocal delay effect

Shi, Junping
; 
Chen, Shanshan
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.
Description
Date
2012-01-01
Journal Title
Journal ISSN
Volume Title
Publisher
Collections
Mathematics
Show all metadata
Download Dataset
Files
Thumbnail Image
Stability_and_Hopf_bifurcation_in_a_diffusive_logistic_population_model_with_nonlocal_delay_effect.pdf
Adobe PDF, 633.68 KB
Rights Holder
Usage License
Embargo
Research Projects
Organizational Units
Journal Issue
Keywords
Citation
Advisor
Department
Mathematics
DOI
10.1016/j.jde.2012.08.031
URI
https://scholarworks.wm.edu/handle/internal/651
Embedded videos