| Abstract: |
| This talk considers the spreading speed and periodic traveling waves for a time-periodic epidemic model in discrete media. We first characterize the spreading speed of the system which can be used to estimate how fast the disease spreads. Then, based on constructing two different pairs of explicit subsolutions and supersolutions, we establish the existence of supercritical and critical periodic traveling waves. We further derive the non-existence of periodic traveling waves when the wave speed is smaller than the spreading speed. |
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