期刊
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
卷 20, 期 4, 页码 1007-1025出版社
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0218127410026289
关键词
Morphogenesis; pattern formation; diffusive Gierer-Meinhardt model; Hopf bifurcation; steady state bifurcation
资金
- National Natural Science Foundation of China [10771045]
- Program of Excellent Team in Harbin Institute of Technology
- Fundamental Research Foundation of Harbin Engineering University [HEUFT08033]
A reaction-diffusion Gierer-Meinhardt model of morphogenesis subject to Dirichlet fixed boundary condition in the one-dimensional spatial domain is considered. We perform a detailed Hopf bifurcation analysis and steady state bifurcation analysis to the system. Our results suggest the existence of spatially nonhomogenous periodic orbits and nonconstant positive steady state solutions, which imply the possibility of complex spatiotemporal patterns of the system. Numerical simulations are carried out to support our theoretical analysis.
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