Analysis of an epidemic model for transmitted diseases in a group of adults and an extension to two age classes
Date
2020
Authors
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Source Title
Hacettepe Journal of Mathematics and Statistics
Print ISSN
2651-477X
Electronic ISSN
Publisher
Hacettepe University
Volume
49
Issue
3
Pages
921 - 934
Language
English
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Abstract
Infectious diseases are a serious problem for public health and spark the interest in interdisciplinary studies. In this paper, we present two mathematical models describing a possible scenario for infectious diseases. The first model considers the dynamics of the disease among adults and emphasizes the role of carriers in the SIR model and the second model assumes that the disease is transmitted to children by adults. We state the equilibria for each model and study the local stability of the equilibria. Furthermore, we perform simulations using a parameter set that explains the spread of a specific infectious disease (meningococcal disease) and interpret the possible cases of transmission via simulations.