General Renewal Equations Motivated by Biology and Epidemiology

Autor:	Colombo, Rinaldo M., Garavello, Mauro, Marcellini, Francesca, Rossi, Elena
Rok vydání:	2023
Předmět:	Mathematics - Analysis of PDEs 35L65 92D30
Druh dokumentu:	Working Paper
Popis:	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. Comment: 32 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2301.01539 Zobrazit plný text záznamu View this record from Arxiv