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To study the influence of the moving front of the infected interval and thespatial movement of individuals on the spreading or vanishing of infectiousdisease, we consider a nonlocal SIS (susceptible-infected-susceptible)reaction-diffusion model with media coverage, hospital bed numbers and freeboundaries. The principal eigenvalue of the integral operator is defined, andthe impacts of the diffusion rate of infected individuals and interval lengthon the principal eigenvalue are analyzed. Furthermore, sufficient conditionsfor spreading and vanishing of the disease are derived.Our results show thatlarge media coverage and hospital bed numbers are beneficial to the preventionand control of disease. The difference between the model with nonlocaldiffusion and that with local diffusion  is also discussed and nonlocal diffusion leads to more possibilities.

Threshold dynamics of a nonlocal dispersal SIS epidemic model with free boundaries