MODELLING EPIDEMICS AND VIRUS MUTATIONS BY METHODS OF THE MATHEMATICAL KINETIC THEORY FOR ACTIVE PARTICLES-Reference-Cited by-同舟云学术

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

Published:2009-08 Issue:supp01 Volume:19 Page:1405-1425
ISSN:0218-2025
Container-title:Mathematical Models and Methods in Applied Sciences
language:en
Short-container-title:Math. Models Methods Appl. Sci.

Author:

DE LILLO S.¹²,DELITALA M.³,SALVATORI M. C.⁴

Affiliation:

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

2. INFN Unit of Perugia, 06123 Perugia, Italy

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

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

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modelling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218202509003838

Reference29 articles.

1. GENERALIZED KINETIC (BOLTZMANN) MODELS: MATHEMATICAL STRUCTURES AND APPLICATIONS

2. MATHEMATICAL MODELING OF VEHICULAR TRAFFIC: A DISCRETE KINETIC THEORY APPROACH

3. Complex Multicellular Systems and Immune Competition: New Paradigms Looking for a Mathematical Theory

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