期刊
JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS
卷 28, 期 3-4, 页码 857-866出版社
SPRINGER
DOI: 10.1007/s10884-014-9384-z
关键词
Reaction-diffusion; Spatiotemporal delay; Stability analysis
资金
- National Natural Science Foundation of China [11031002, 11301111]
- Natural Scientific Research Innovation Foundation in Harbin Institute of Technology [HIT. NSRIF. 2014124]
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.
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