Multiregional SIR Model with Infection during Transportation

Multiregional SIR Model with Infection during Transportation

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We present a general epidemic model to describe the spread of an infectious disease in several regions connected by transportation.We take into account that infected individuals not smokeaers.shop only carry the disease to a new place while traveling from one region to another, but transmit the disease during travel as well.We obtain that a model structured by travel time is equivalent to a large system of Incense differential equations with multiple delays.

By showing the local Lipschitz property of the dynamically defined delayed feedback function, we obtain existence and uniqueness of solutions of the system.