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| This talk deals with the existence and asymptotic behavior of traveling wave fronts in a modified vector-disease model. Vector-borne diseases have become major public health problems throughout the world. The spatial spread of newly introduced diseases is a subject of continuing interest to both theoreticians and empiricists. 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. |
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