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Traveling waves in a delayed SIR model with nonlocal dispersal and nonlinear incidence

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This paper is concerned with traveling waves of a delayed SIR model with nonlocal dispersal and a general nonlinear incidence. The existence and nonexistence of traveling waves of the system… Click to show full abstract

This paper is concerned with traveling waves of a delayed SIR model with nonlocal dispersal and a general nonlinear incidence. The existence and nonexistence of traveling waves of the system are established respectively by Schauder’s fixed point theorem and two-sided Laplace transform. It is also shown that the spread speed c is influenced by the dispersal rate of the infected individuals and the delay τ.

Keywords: sir model; nonlocal dispersal; model nonlocal; traveling waves; waves delayed; delayed sir

Journal Title: Journal of Mathematical Physics
Year Published: 2018

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