Stability analysis of infectious diseases model in a dynamic population

• Main Authors: Joseph Akinyemi, Angela Chukwu, Micheal Adeniyi
• Format: Article
• Language: English
• Published: BİSKA Bilisim Company 2018-12-01
• Series: Communication in Mathematical Modeling and Applications
• Subjects: Basic reproduction number; dynamic population; asymptotically stable; Lyapunov function; equilibrium point.
• Online Access: https://ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8496

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.