Article ID Journal Published Year Pages File Type
6420992 Applied Mathematics and Computation 2014 18 Pages PDF
Abstract

This paper is concerned with the existence, nonexistence and minimal wave speed of traveling waves of a nonlocal dispersal delayed SIR model with constant external supplies and Holling-II incidence rate. We find that the existence and nonexistence of traveling waves of the system are not only determined by the minimal wave speed c∗, but also by the so-called basic reproduction number R0 of the corresponding reaction system. That is, we establish the existence of traveling waves for R0>1 and each wave speed c⩾c∗, and the nonexistence for R0>1 and any 0

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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