Abstract
This paper deals with traveling waves of a three-component delayed disease system with mixed diffusion. When the basic reproduction number of the corresponding spatial-homogenous delayed differential system R0>1 and the wave velocity c≥c∗ (c∗ is critical velocity), we obtain that the system admits a positive traveling wave solution. When R0≤1 and c∈R or R0>1 and c<c∗, we prove that the system has no positive traveling wave solutions. Our theoretical results may be conducive to disease prevention and control.
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