| Abstract: |
| In this talk, we discuss the existence and asymptotic behavior of traveling wave fronts in a modified vector-disease model. We first establish the existence of traveling wave solutions for the modified vector-disease model without delay, then the existence of traveling fronts for the model with a special local delay convolution kernel are obtained by employing geometric singular perturbation theory and the linear chain trick. At last, we investigate the local stability of the steady states, the existence and the asymptotic behavior of traveling wave solutions for that model with a special non-local delay convolution kernel. |
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