期刊
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
卷 23, 期 -, 页码 129-147出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.nonrwa.2014.12.001
关键词
SIR model; Non local dispersal; Traveling waves; Schauder's fixed point theorem; Laplace transform
资金
- NSF of China [11031003, 11271172, 11071105]
- FRFCU [lzujbky-2011-k27]
- Program for New Century Excellent Talents in University [NCET-10-0470]
- Scientific Research Foundation for Returned Overseas Chinese Scholars
This paper is concerned with traveling wave solutions of a nonlocal dispersal SIR epidemic model. The existence and nonexistence of traveling wave solutions are determined by the basic reproduction number and the minimal wave speed. This threshold dynamics are proved by Schauder's fixed point theorem and the Laplace transform. The main difficulties are that the semiflow generated by the model does not have the order-preserving property and the solutions lack of regularity. (C) 2014 Elsevier Ltd. All rights reserved.
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