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Traveling wave solutions in a reaction-diffusion epidemic model. (English) Zbl 1291.35418
Summary: We investigate the traveling wave solutions in a reaction-diffusion epidemic model. The existence of the wave solutions is derived through monotone iteration of a pair of classical upper and lower solutions. The traveling wave solutions are shown to be unique and strictly monotonic. Furthermore, we determine the critical minimal wave speed.

35Q92PDEs in connection with biology and other natural sciences
35C07Traveling wave solutions of PDE
35K57Reaction-diffusion equations
Full Text: DOI
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