Bifurcation in infinite dimensional spaces and applications in spatiotemporal biological and chemical models

doi:10.1007/s11464-009-0026-4

Front Math Chin

2009, Vol. 4

Issue (3) : 407-424 https://doi.org/10.1007/s11464-009-0026-4

SURVEY ARTICLE

Bifurcation in infinite dimensional spaces and applications in spatiotemporal biological and chemical models

Junping SHI(

)

Department of Mathematics, College of William and Mary, Williamsburg, VA 23185, USA School of Mathematics, Harbin Normal University, Harbin 150025, China

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Abstract

Recent advances in abstract local and global bifurcation theory is briefly reviewed. Several applications are included to illustrate the applications of abstract theory, and it includes Turing instability of chemical reactions, pattern formation in water limited ecosystems, and diffusive predator-prey models.

Keywords Bifurcation reaction-diffusion model

Corresponding Author(s): SHI Junping,Email:shij@math.wm.edu

Issue Date: 05 September 2009

Cite this article:

Junping SHI. Bifurcation in infinite dimensional spaces and applications in spatiotemporal biological and chemical models[J]. Front Math Chin, 2009, 4(3): 407-424.

URL:

https://academic.hep.com.cn/fmc/EN/10.1007/s11464-009-0026-4
https://academic.hep.com.cn/fmc/EN/Y2009/V4/I3/407

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