Stability analysis of infectious diseases model in a dynamic population
The stability analysis of infectious disease model in a dynamic population is studied.The recruitment rate into the susceptible population is introduced since the population is dynamic thereby allowing a varying population as a result of migration and birth. The model exhibited two equilibria: the d...
Main Authors: | , , |
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Format: | Article |
Language: | English |
Published: |
BİSKA Bilisim Company
2018-12-01
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Series: | Communication in Mathematical Modeling and Applications |
Subjects: | |
Online Access: | https://ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8496 |
Summary: | The stability analysis of infectious disease model in a dynamic population is studied.The recruitment rate into the susceptible population is introduced since the population is dynamic thereby allowing a varying population as a result of migration and birth. The model exhibited two equilibria: the disease-free and endemic. The local stability of the model is asymptotically stable when and unstable when. The global stability analysis of the disease-free shows that the system is globally stable when the first derivative of the Lyapunov function is negative. |
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ISSN: | 2528-830X 2528-830X |