Inhaltszusammenfassung

In this article we set up a microscopic model for the spread of an infectious disease based on configuration space analysis. Using the so-called Vlasov scaling we obtained the corresponding mesoscopic (kinetic) equations, describing the density of susceptible and infected individuals (particles) in space. The resulting system of equations can be seen as a generalization to a 'spatial' SIS-model. The equations showing up in the limiting system are of the type which is know in literature as Fis...In this article we set up a microscopic model for the spread of an infectious disease based on configuration space analysis. Using the so-called Vlasov scaling we obtained the corresponding mesoscopic (kinetic) equations, describing the density of susceptible and infected individuals (particles) in space. The resulting system of equations can be seen as a generalization to a 'spatial' SIS-model. The equations showing up in the limiting system are of the type which is know in literature as Fisher-Kolmogorov-Petrovsky-Piscounov type. » weiterlesen» einklappen

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