ArticleActa applicandae mathematicae2021
One Dimensional Reduction of a Renewal Equation for a Measure-Valued Function of Time Describing Population Dynamics.
Article in Acta applicandae mathematicae, 2021. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 2 papers.
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2 citing papers in PubMed.
- Exploring memory effects: Sparse identification in vector-borne diseases.Proceedings of the National Academy of Sciences of the United States of America · 2026Article
- Description of chemical systems by means of response functions.Journal of mathematical biology · 2025Article
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3 authors.
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Abstract
Despite their relevance in mathematical biology, there are, as yet, few general results about the asymptotic behaviour of measure valued solutions of renewal equations on the basis of assumptions concerning the kernel. We characterise, via their kernels, a class of renewal equations whose measure-valued solution can be expressed in terms of the solution of a scalar renewal equation. The asymptotic behaviour of the solution of the scalar renewal equation, is studied via Feller's classical renewal theorem and, from it, the large time behaviour of the solution of the original renewal equation is derived.
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