Mathematical Modelling Using Improved Sir Models with the Environmental Noise

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dc.contributor.advisorManalebish Debalike
dc.contributor.authorAbebe Monen
dc.date.accessioned2025-08-31T20:22:39Z
dc.date.available2025-08-31T20:22:39Z
dc.date.issued2024-09
dc.description.abstractI develop the SIR models and investigate the stability of their equilibrium points in this paper. Through vaccination strategies and the use of thesis Pontragin Maximum Principle, we are able to control the spread of disease through numerical research and the theory of optimal control. It is discovered that the models' disease-free equilibrium is asymptotically unstable otherwise and asymptotically stable when the fundamental reproduction number is less than one. Additionally, it was discovered that in cases when the fundamental reproduction number is greater than one, the endemic equilibrium is asymptotically stable; in other cases, it is asymptotically unstable. In order to predict and prevent epidemics, this work establishes the susceptible-infectious-recovered (SIR) compartment model for disease
dc.identifier.urihttps://etd.aau.edu.et/handle/123456789/7200
dc.language.isoen_US
dc.publisherAddis Ababa University
dc.subjectMathematical Modelling
dc.subjectUsing Improved Sir Models
dc.subjectEnvironmental Noise
dc.titleMathematical Modelling Using Improved Sir Models with the Environmental Noise
dc.typeThesis

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