Stability and bifurcation in a reaction–diffusion model with nonlocal delay effect
- 1 August 2015
- journal article
- Published by Elsevier BV in Journal of Differential Equations
- Vol. 259 (4), 1409-1448
- https://doi.org/10.1016/j.jde.2015.03.006
Abstract
No abstract availableKeywords
Funding Information
- Ministry of Education of the People's Republic of China (20120161110018, 11271115)
- National Natural Science Foundation of China (20120161110018, 11271115)
This publication has 12 references indexed in Scilit:
- Stability and Hopf bifurcation in a diffusive logistic population model with nonlocal delay effectJournal of Differential Equations, 2012
- Spatially nonhomogeneous equilibrium in a reaction–diffusion system with distributed delayJournal of Differential Equations, 2011
- Hopf bifurcations in a reaction–diffusion population model with delay effectJournal of Differential Equations, 2009
- Existence, uniqueness and stability of the stationary solution to a nonlocal evolution equation arising in population dispersalJournal of Mathematical Analysis and Applications, 2007
- Hopf Bifurcation and Stability of a Competition Diffusion System with Distributed DelayPublications of the Research Institute for Mathematical Sciences, 2005
- Nonlocality of Reaction-Diffusion Equations Induced by Delay: Biological Modeling and Nonlinear DynamicsJournal of Mathematical Sciences, 2004
- Traveling Waves in a Convolution Model for Phase TransitionsArchive for Rational Mechanics and Analysis, 1997
- Stability and Hopf Bifurcation for a Population Delay Model with Diffusion EffectsJournal of Differential Equations, 1996
- Spatial Structures and Periodic Travelling Waves in an Integro-Differential Reaction-Diffusion Population ModelSIAM Journal on Applied Mathematics, 1990
- Bifurcation and Asymptotic Behavior of Solutions of a Delay-Differential Equation with DiffusionSIAM Journal on Mathematical Analysis, 1989