Special Issue on Mathematics and Complexity in Human and Life SciencesNo Access

MODELLING EPIDEMICS AND VIRUS MUTATIONS BY METHODS OF THE MATHEMATICAL KINETIC THEORY FOR ACTIVE PARTICLES

S. DE LILLO

Department of Mathematics, Università Perugia, Via Vanvitelli 1, Italy

INFN Unit of Perugia, 06123 Perugia, Italy

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M. DELITALA

Department of Mathematics, Politecnico Torino, Corso Duca degli Abruzzi 24, 10129 Torino, Italy

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, and

M. C. SALVATORI

Department of Mathematics, Università Perugia, Via Vanvitelli 1, 06123 Perugia, Italy

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https://doi.org/10.1142/S0218202509003838Cited by:48 (Source: Crossref)

Abstract

The present study is devoted to modelling the onset and the spread of epidemics. The mathematical approach is based on the generalized kinetic theory for active particles. The modelling includes virus mutations and the role of the immune system. Moreover, the heterogeneous distribution of patients is also taken into account. The structure allows the derivation of specific models and of numerical simulations related to real systems.

Keywords:

AMSC: 74A25, 92D25, 92D30, 47J35, 45K05

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