An age-dependent epidemic model with application to measles
type: Item
instance of: scholarly article
title: An age-dependent epidemic model with application to measles
zbMATH Open document ID: 0572.92023
DOI: 10.1016/0025-5564(85)90081-1
author: David W. Tudor
published in: Mathematical Biosciences
publication date: 1985-01-01T00:00:00Z
review text: The author presents an epidemic model for an SIRS disease in a population with constant size. By using age dependent epidemic as well as demographic parameters the model is first derived as a system of partial differential equations for the age distributions of the susceptible, infectious and removed individuals, respectively. These equations are then reduced to a system of ordinary differential equations by dividing the age axis into a certain number of age groups and integrating over each age group. A stability analysis is performed for the case where the total number of individuals in each age group is constant, i.e. independent of time. Finally the problem of parameter estimation and some applications of the model (to measles) are discussed.
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 34D99
zbMATH DE Number: 3914147
zbMATH Keywords: epidemic model
zbMATH Keywords: SIRS disease
zbMATH Keywords: population with constant size
zbMATH Keywords: age dependent epidemic
zbMATH Keywords: demographic parameters
zbMATH Keywords: system of partial differential equations
zbMATH Keywords: age distributions
zbMATH Keywords: age groups
zbMATH Keywords: parameter estimation
zbMATH Keywords: measles
MaRDI profile type: Publication
full work available at URL: 0025-5564(85)90081-1
OpenAlex ID: W1986022250
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description: scientific article; zbMATH DE number 3914147