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18 February 2025
 
  » arxiv » 2301.01539

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General Renewal Equations Motivated by Biology and Epidemiology
Rinaldo M. Colombo ; Mauro Garavello ; Francesca Marcellini ; Elena Rossi ;
Date 4 Jan 2023
AbstractWe 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.
Source arXiv, 2301.01539
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