Entire solutions for a multi-type SIS nonlocal epidemic model in R or Z

Abstract In this paper, we study entire solutions for a multi-type SIS nonlocal epidemic model in R or Z . The existence and asymptotic behavior of spatially independent solutions are first established. Some new entire solutions are then constructed by combining traveling wave fronts with different speeds and a spatially independent solution. From the viewpoint of epidemiology, the results provide some new spread ways of the epidemic.

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