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arxiv: 2111.05563 · v1 · pith:OSX4IF6D · submitted 2021-11-10 · physics.soc-ph · nlin.AO· q-bio.PE· q-bio.QM

Kinetic and macroscopic epidemic models in presence of multiple heterogeneous populations

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classification physics.soc-ph nlin.AOq-bio.PEq-bio.QM
keywords epidemicsystemcontactequationsheterogeneityimpactmacroscopicmultiple
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We study the impact of contact heterogeneity on epidemic dynamics. A system characterized by multiple susceptible populations is considered. The description of the spread of an infectious disease is obtained through the study of a system of Boltzmann-type equations for the number densities of social contacts of the introduced compartments. A macroscopic system of equations characterizing observable effects of the epidemic is then derived to assess the impact of contact heterogeneity.

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