期刊
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
卷 27, 期 1-3, 页码 136-152出版社
ELSEVIER
DOI: 10.1016/j.cnsns.2015.03.005
关键词
Traveling waves; Nonlocal dispersal; SIR model; Diffusion ability; Nonlocal delayed transmission
类别
资金
- NSF of China [11271172]
- Fundamental Research Funds for the Central Universities [lzujbky-2014-20]
This paper is concerned with the existence and nonexistence of traveling wave solutions of a nonlocal dispersal SIR model with nonlocal delayed transmission. The threshold dynamics are determined by the so-called basic reproduction number of the corresponding reaction system and the critical wave speed. Our results imply that (i) the diffusion ability of the infected individuals can accelerate the wave speed; and (ii) the incubation period can slow down the propagation while the non-locality of interaction would speed up the spread of the disease. In particular, we remove the usual condition that the nonlocal dispersal kernel function is compacted supported. (C) 2015 Elsevier B.V. All rights reserved.
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