Electron. J. Diff. Eqns., Vol. 2007(2007), No. 18, pp. 1-11.

Existence and uniqueness of travelling wavefronts for a bio-reactor equations with distributed delays

Zhihong Zhao, Yuantong Xu, Yongjin Li

Abstract:
We consider the diffusive single species growth in a plug flow reactor model with distributed delay. For small delay, existence and uniqueness of such wavefronts are proved when the convolution kernel assumes the strong generic delay kernel. The approaches used in this paper are geometric singular perturbation theory and the center manifold theorem.

Submitted November 24, 2006. Published January 25, 2007.
Math Subject Classifications: 34B18, 39A10.
Key Words: Bio-reactor model; travelling wavefronts; distributed delay; heteroclinic orbit; singular perturbation theory; center manifold theorem.

Show me the PDF file (230K), TEX file, and other files for this article.

Zhihong Zhao
Department of Mathematics
Sun Yat-sen University
Guangzhou 510275, China
email: zhaozhihong01@yahoo.com.cn
Yuantong Xu
Department of Mathematics
Sun Yat-sen University
Guangzhou 510275, China
email: xyt@mail.sysu.edu.cn
Yongjin Li
Department of Mathematics
Sun Yat-sen University
Guangzhou 510275, China
email: stslyj@mail.sysu.edu.cn

Return to the EJDE web page