A nonlocal SIR epidemic problem with double free boundaries

This paper is concerned with a new nonlocal SIR epidemic model with double free boundaries. Our results show that the disease will spread if the basic reproduction number R0(a−rb,(−h0,h0))≥1; whereas, when the basic reproduction number R0(a−rb,(−h0,h0))<1, the disease will spread or not depending on the expanding ability μ of infected population.