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In this paper, we study the time periodic traveling wave solutions for a periodic SIR epidemic model with diffusion and standard incidence. We establish the existence of periodic traveling waves… Click to show full abstract
In this paper, we study the time periodic traveling wave solutions for a periodic SIR epidemic model with diffusion and standard incidence. We establish the existence of periodic traveling waves by investigating the fixed points of a nonlinear operator defined on an appropriate set of periodic functions. Then we prove the nonexistence of periodic traveling via the comparison arguments combined with the properties of the spreading speed of an associated subsystem.
Keywords:
time periodic;
sir epidemic;
traveling waves;
epidemic model;
periodic traveling
Journal Title: Journal of Dynamics and Differential Equations
Year Published: 2018
Link to full text (if available)
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Journal Title: Journal of Dynamics and Differential Equations
Year Published: 2018
Link to full text (if available)
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recommendations!