Journal
APPLIED MATHEMATICS AND COMPUTATION
Volume 263, Issue -, Pages 221-232Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2015.04.048
Keywords
Traveling Wave solution; SIR model; Nonlinear incidence; Time delay
Categories
Funding
- NSF of China [11401453, 11401456, 11301407]
- Fundamental Research Funds for the Central Universities [JB150701, K5051370002]
Ask authors/readers for more resources
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.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available