期刊
APPLIED MATHEMATICS AND COMPUTATION
卷 263, 期 -, 页码 221-232出版社
ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2015.04.048
关键词
Traveling Wave solution; SIR model; Nonlinear incidence; Time delay
资金
- NSF of China [11401453, 11401456, 11301407]
- Fundamental Research Funds for the Central Universities [JB150701, K5051370002]
We establish the existence and non-existence of traveling wave solutions for a diffusive SIR model with a general nonlinear incidence. The existence proof is shown by introducing an auxiliary system, applying Schauder's fixed point theorem and then a limiting argument. The nonexistence proof is obtained by two-sided Laplace transform when the speed is less than the critical velocity. Numerical simulations support the theoretical results. We also point out the effects of the delay and the diffusion rate of the infective individuals On the spreading speed. (C) 2015 Elsevier Inc. All rights reserved.
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