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Mathematical analysis for an epidemic model with spatial and age structure

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Abstract

A system of parabolic–hyperbolic equations with a non-local boundary condition, arising in mathematical theory of epidemics, is analyzed. For such a system, well–posedness as well as Sobolev regularity with respect to the space variables is proved. Asymptotic behavior of the solutions is also investigated.

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Authors and Affiliations

  1. Dipartmento di Matematica, Sapienza Università di Roma, P.le A. Moro 5, 00185, Roma, Italy

    Gabriella Di Blasio

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  1. Gabriella Di Blasio
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Correspondence to Gabriella Di Blasio.

Additional information

This work was partially supported by the project: Equazioni di Evoluzione e Applicazioni of the Sapienza Università di Roma.

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Di Blasio, G. Mathematical analysis for an epidemic model with spatial and age structure. J. Evol. Equ. 10, 929–953 (2010). https://doi.org/10.1007/s00028-010-0077-8

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