Solution of a renewal equation in population biology and epidemiology [Articol]
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Moldova State University
Abstract
An integral equation for the number of births in unit time in a model for populations with age structure is considered. The equation can sometimes be transformed into a differential-difference equation. It is solved explicitly under various assumptions for the initial age distribution, which can depend on a constant T. The case when T is a random variable is also treated.
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LEFEBVRE, Mario. Solution of a renewal equation in population biology and epidemiology. Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica. 2025, nr. 2-3(108-109), pp. 158-170. ISSN 1024-7696; E-ISSN 2587-4322. Disponibil: https://doi.org/10.56415/basm.y2025.i2-3.p158