数学季刊 ›› 2015, Vol. 30 ›› Issue (2): 287-299.doi: 10.13371/j.cnki.chin.q.j.m.2015.02.017
摘要: An epidemic model with vaccination and nonlocal diffusion is proposed, and the existence of traveling wave solutions of this model is studied. By the cross-iteration scheme companied with a pair of upper and lower solutions and Schauder’s fixed point theorem,sufficient conditions are obtained for the existence of a traveling wave solution connecting the disease-free steady state and the endemic steady state.
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