| Abstract: |
| In this talk, we investigate the existence of traveling wave solutions in a reaction-diffusion ordinary differential system, which is coupled by a set of three ordinary differential equations and a reaction-diffusion equation. We employ the geometric singular perturbation theory to demonstrate the existence of the traveling wave solutions. Subsequently, we utilize the contraction mapping principle to prove the uniqueness of the wave speed. At the end of the paper, we conduct numerical simulations for a specific model that meets the hypothetical conditions, validating the obtained results. |
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