On a Spatial Epidemic Propagation Model

Faragó, István and Horváth, Róbert (2016) On a Spatial Epidemic Propagation Model. In: Progress in Industrial Mathematics at ECMI 2014. Springer International Publishing, Cham, pp. 517-525. ISBN 978-3-319-23413-7

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Abstract

Most of the models of epidemic propagations do not take into the account the spatial distribution of the individuals. They give only the temporal change of the number of the infected, susceptible and recovered patients. In our presentation we present a spatial epidemic propagation model and give some of its qualitative properties both in the continuous and the finite difference numerical case: boundedness, nonnegativity preservation, the condition of forming epidemic waves. Some of the results are demonstrated on numerical tests.

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