Browsing by Author "Desta Worku"

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    Mathematical Model and Analysis of the Impact of Infective Immigrants on the Transmission of Cholera Disease with Control Strategy
    (Addis Ababa University, 2024-08) Desta Worku; Manalebesh Debalkie
    Cholera 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.
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    Mathematical Model and Analysis of the Impact of Infective Immigrants on the Transmission of Cholera Disease with Control Strategy
    (Addis Ababa University, 2024-08) Desta Worku; Manalebesh Debalkie
    Cholera 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.