Journal
JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS
Volume 28, Issue 3-4, Pages 857-866Publisher
SPRINGER
DOI: 10.1007/s10884-014-9384-z
Keywords
Reaction-diffusion; Spatiotemporal delay; Stability analysis
Categories
Funding
- National Natural Science Foundation of China [11031002, 11301111]
- Natural Scientific Research Innovation Foundation in Harbin Institute of Technology [HIT. NSRIF. 2014124]
Ask authors/readers for more resources
In this paper, we concentrate on the study of a reaction-diffusion equation with spatiotemporal delay and homogeneous Dirichlet boundary condition. It is shown that a positive spatially nonhomogeneous equilibrium can bifurcate from the trivial equilibrium. Moreover, the stability of the bifurcated positive equilibrium is investigated. And we prove that, for the given spatiotemporal delay, the bifurcated equilibrium is stable under some conditions, and Hopf bifurcation cannot occur.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available