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