一类具有非线性发生率与时滞的非局部扩散 SIR 模型的临界波的存在性.

The existence of traveling wave solutions for nonlocal dispersal SIR epidemic models with delay was studied. Firstly, the boundedness of I was proved by contradiction. Then according to the boundedness of I, the existence of traveling waves with c>c* was established. Secondly, through further analysis of traveling waves with super-critical speeds, the existence of traveling waves with the critical speed was derived. Finally, the influence of basic reproduction number R0 on the existence of c>c* was discussed. [ABSTRACT FROM AUTHOR]