Journal
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS
Volume 16, Issue 3, Pages 781-797Publisher
AMER INST MATHEMATICAL SCIENCES-AIMS
DOI: 10.3934/cpaa.2017037
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Funding
- NSF of China [11601205, 11671180]
- Fundamental Research Funds for the Central Universities [zujbky-2016-103, 1zujbky-2016-ct12]
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This paper is concerned with a nonlocal dispersal susceptible infected-susceptible (SIS) epidemic model with Dirichlet boundary condition, where the rates of disease transmission and recovery are assumed to be spatially heterogeneous. We introduce a basic reproduction number Ro and establish threshold-type results on the global dynamic in terms of Ro. More specifically, we show that if the basic reproduction number is less than one, then the disease will be extinct, and if the basic reproduction number is larger than one, then the disease will persist. Particularly, our results imply that the nonlocal dispersal of the infected individuals may suppress the spread of the disease even though in a high-risk domain.
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