| Abstract: |
| In this presentation, we delve into the existence of traveling wave solutions within a coupled system comprising a reaction-diffusion ordinary differential equation and a trio of additional ordinary differential equations. We apply geometric singular perturbation theory to establish the presence of these traveling wave solutions. Following this, we employ the contraction mapping principle to affirm the uniqueness of the wave speed. To substantiate our theoretical findings, we conclude with numerical simulations for a particular model that aligns with our theoretical assumptions, thereby validating our results. |
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