Journal
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS
Volume 14, Issue 3, Pages 1001-1022Publisher
AMER INST MATHEMATICAL SCIENCES-AIMS
DOI: 10.3934/cpaa.2015.14.1001
Keywords
SIR epidemic model; traveling waves; minimal wave speed; constant external supplies
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Funding
- NSF of China [11271172, 11471149]
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This paper is concerned with the minimal wave speed of a delayed diffusive SIR epidemic model with Holling-II incidence rate and constant external supplies. By presenting the existence and nonexistence of traveling wave solutions for any positive wave speed, the minimal wave speed is established. In particular, the minimal wave speed decreases when the latency of infection increases. Biologically speaking, the longer the latency of infection in a vector is, the slower the disease spreads.
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