期刊
JOURNAL OF DIFFERENTIAL EQUATIONS
卷 260, 期 1, 页码 218-240出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jde.2015.08.038
关键词
Reaction diffusion equation; Nonlocal delay; Hopf bifurcation; Stability
类别
资金
- National Natural Science Foundation of China [11471085, 11301111]
- China Postdoctoral Science Foundation [2014M562151]
A nonlocal delayed reaction diffusion equation with Dirichlet boundary condition is considered in this paper. It is shown that a positive spatially nonhomogeneous equilibrium bifurcates from the trivial equilibrium. The stability/instability of the bifurcated positive equilibrium and associated Hopf bifurcation are investigated, providing us with a complete picture of the dynamics. (C) 2015 Elsevier Inc. All rights reserved.
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