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Solution of a renewal equation in population biology and epidemiology
Authors: Mario Lefebvre
Keywords: Population dynamics, linear Volterra equation of convolution type, Neumann series solution, differential-difference equation
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Keywords: Population dynamics, linear Volterra equation of convolution type, Neumann series solution, differential-difference equation
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.Department of Mathematics and Industrial Engineering,
Polytechnique Montréal, C.P. 6079, Succursale
Centre-ville, Montréal, Canada H3C 3A7
E-mail:
Polytechnique Montréal, C.P. 6079, Succursale
Centre-ville, Montréal, Canada H3C 3A7
E-mail:
DOI
https://doi.org/10.56415/basm.y2025.i2-3.p158Fulltext
– 0.37 Mb
Contents
- Dissipative Dirac Operator on Time Scales
- On the Asymptotic Behavior of Solutions of the Cauchy Problem for a Hyperbolic Equation with Periodic Coefficients
- Global Attractors of Non-autonomous Lattice Dynamical Systems
- The relationships between common multiples of matrices over commutative Bézout domain of stable range 1.5
- Temporal Analysis of Hidden and Standard Markov Processes with Final Sequences of States
- Continuous Gromov--Hausdorff distance
- Polynomial algorithm for the disjoint bilinear programming problem with an acute-angled polytope for a disjoint subset
- Solution of a renewal equation in population biology and epidemiology
