Traveling wave solutions for an autocatalytic reaction–diffusion model |
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Authors: | MBA Mansour |
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Institution: | Department of Mathematics, Faculty of Science, South Valley University, Qena, Egypt |
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Abstract: | In this paper we consider an autocatalytic reaction–diffusion model which has many applications. We extend previous results using qualitative analysis and show the existence of an exponentially decaying traveling wave front for a minimum speed and algebraically decaying wave fronts for large speeds. Further, the wave front profiles are calculated and the minimum speed is accurately determined using different numerical methods. |
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