期刊
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK
卷 67, 期 5, 页码 -出版社
SPRINGER INT PUBL AG
DOI: 10.1007/s00033-016-0711-6
关键词
Seasonality; Reaction-diffusion; Infection period; Reproduction number; Uniform persistence
资金
- China Scholarship Council
- Fundamental Research Funds for the Central Universities [lzujbky-2015-210]
- NSF of China [11371179]
In this paper, we propose a time-periodic and diffusive SIR epidemic model with constant infection period. By introducing the basic reproduction number R-0 via a next generation operator for this model, we show that the disease goes extinction if R-0 < 1; while the disease is uniformly persistent if R-0 > 1.
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