We present a unified framework ensuring well posedness and providing stability estimates to a class of Initial – Boundary Value Problems for renewal equations comprising a variety of biological or epidemiological models. This versatility is achieved considering fairly general – possibly non linear and/or non local – interaction terms, allowing both low regularity assumptions and independent variables with or without a boundary. In particular, these results also apply, for instance, to a model for the spreading of a Covid like pandemic or other epidemics. Further applications are shown to be covered by the present setting.

Colombo, R., Garavello, M., Marcellini, F., Rossi, E. (2023). General renewal equations motivated by biology and epidemiology. JOURNAL OF DIFFERENTIAL EQUATIONS, 354(5 May 2023), 133-169 [10.1016/j.jde.2023.01.012].

General renewal equations motivated by biology and epidemiology

Garavello M.;Rossi E.
2023

Abstract

We present a unified framework ensuring well posedness and providing stability estimates to a class of Initial – Boundary Value Problems for renewal equations comprising a variety of biological or epidemiological models. This versatility is achieved considering fairly general – possibly non linear and/or non local – interaction terms, allowing both low regularity assumptions and independent variables with or without a boundary. In particular, these results also apply, for instance, to a model for the spreading of a Covid like pandemic or other epidemics. Further applications are shown to be covered by the present setting.
Articolo in rivista - Articolo scientifico
Age and space structured SIR models; Differential equations in epidemic modeling; IBVP for renewal equations; Well posedness of epidemiological models;
English
20-gen-2023
2023
354
5 May 2023
133
169
open
Colombo, R., Garavello, M., Marcellini, F., Rossi, E. (2023). General renewal equations motivated by biology and epidemiology. JOURNAL OF DIFFERENTIAL EQUATIONS, 354(5 May 2023), 133-169 [10.1016/j.jde.2023.01.012].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/406517
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