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Global dynamics of a delay differential system of a two-patch SIS-model with transport-related infections

Yukihiko NakataGergely Röst — 2015

Mathematica Bohemica

We describe the global dynamics of a disease transmission model between two regions which are connected via bidirectional or unidirectional transportation, where infection occurs during the travel as well as within the regions. We define the regional reproduction numbers and the basic reproduction number by constructing a next generation matrix. If the two regions are connected via bidirectional transportation, the basic reproduction number R 0 characterizes the existence of equilibria as well as...

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