Mathematical Model and Analysis of the Impact of Infective Immigrants on the Transmission of Cholera Disease with Control Strategy

dc.contributor.advisorManalebesh Debalkie
dc.contributor.authorDesta Worku
dc.date.accessioned2025-09-05T22:54:55Z
dc.date.available2025-09-05T22:54:55Z
dc.date.issued2024-08
dc.description.abstractCholera is water born infectious disease caused by ingesting food or drinking water contaminated with a bacterium called vibrio cholera, characterized by extreme diarrhea and vomiting. In this thesis, we present mathematical model and analysis of the impact of infected immigrants on the transmission of cholera disease by adding some control strategy. In our work, we considered public health education, medical treatment and water treatment as the control strategy that limits the disease. The positivity and boundedness of the model system, and the existence and stability of the equilibrium points are discussed. Using next generation matrix, the reproduction number is calculated. Numerical simulation done using the MATLAB software code ode45 that shows when health education is effective or apply strongly, the number of infective are decrease faster, implying that health education and awareness are vital in controlling the spread of the cholera disease together with water treatment and medical treatment.
dc.identifier.urihttps://etd.aau.edu.et/handle/123456789/7384
dc.language.isoen_US
dc.publisherAddis Ababa University
dc.subjectMathematical Model
dc.subjectCholera
dc.subjectControl Strategy
dc.subjectEquilibrium Point
dc.subjectNumerical Simulation and Reproduction Number
dc.titleMathematical Model and Analysis of the Impact of Infective Immigrants on the Transmission of Cholera Disease with Control Strategy
dc.typeThesis

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