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.

General renewal equations motivated by biology and epidemiology / Colombo, R. M.; Garavello, M.; Marcellini, F.; Rossi, E.. - In: JOURNAL OF DIFFERENTIAL EQUATIONS. - ISSN 0022-0396. - 354:(2023), pp. 133-169. [10.1016/j.jde.2023.01.012]

General renewal equations motivated by biology and epidemiology

Rossi, E.
2023-01-01

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.
354
133
169
General renewal equations motivated by biology and epidemiology / Colombo, R. M.; Garavello, M.; Marcellini, F.; Rossi, E.. - In: JOURNAL OF DIFFERENTIAL EQUATIONS. - ISSN 0022-0396. - 354:(2023), pp. 133-169. [10.1016/j.jde.2023.01.012]
Colombo, R. M.; Garavello, M.; Marcellini, F.; Rossi, E.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11380/1295328
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