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Article Contents

# Dynamics of a nonlocal SIS epidemic model with free boundary

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• This paper is concerned with the spreading or vanishing of a epidemic disease which is characterized by a diffusion SIS model with nonlocal incidence rate and double free boundaries. We get the full information about the sufficient conditions that ensure the disease spreading or vanishing, which exhibits a detailed description of the communicable mechanism of the disease. Our results imply that the nonlocal interaction may enhance the spread of the disease.

Mathematics Subject Classification: 35K57, 35R20, 92D25.

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