Analysis of an epidemic model for transmitted diseases in a group of adults and an extension to two age classes
| Autor: | Meltem Gölgeli, Fatihcan M. Atay |
|---|---|
| Přispěvatelé: | Atay, Fatihcan M. |
| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: |
Statistics and Probability
medicine.medical_specialty Matematik Algebra and Number Theory Age structure SIR model epidemic threshold local stability age structure Public health 010102 general mathematics 010103 numerical & computational mathematics Disease 01 natural sciences Local stability Epidemic threshold Infectious disease (medical specialty) Econometrics medicine Geometry and Topology 0101 mathematics SIR model Epidemic model Analysis Mathematics |
| Zdroj: | Hacettepe Journal of Mathematics and Statistics Volume: 49, Issue: 3 921-934 |
| ISSN: | 2651-477X |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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