Uniqueness of traveling wave solutions for a biological reaction-diffusion equation |
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| Authors: | Wenzhang Huang |
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| Institution: | Department of Mathematical Sciences, University of Alabama in Huntsville, Huntsville, AL 35899, USA |
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| Abstract: | The existence of traveling wave solutions for a reaction-diffusion, which serves as models for microbial growth in a flow reactor and for mathematical epidemiology, was previously confirmed. However, the problem on the uniqueness of traveling wave solutions remains open. In this paper we give a complete proof of the uniqueness of traveling wave solutions. |
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| Keywords: | Reaction-diffusion equations Microbial growth in flow reactor Traveling wave solutions Uniqueness |
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