Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6420992 | Applied Mathematics and Computation | 2014 | 18 Pages |
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 câ, 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⩾câ, and the nonexistence for R0>1 and any 0
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Yan Li, Wan-Tong Li, Fei-Ying Yang,