Open Conference Systems, MISEIC 2019

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The Optimal Implementation of Chlorination, Treatment, and Education Controls in Reducing the Transmission of Cholera Disease
Irma Fitria

Last modified: 2019-10-08

Abstract


Cholera is an acute disease caused by the bacteria Vibrio Cholerae. Cholera is a contagious and deadly disease that requires immediate medical treatment. The mathematical studies are conducted to create the model of cholera transmission. The cholera transmission model is carried out by implementing the optimal controls, namely the chlorination for bacteria, control treatment for quarantined individuals, and education campaign for susceptible and infected individuals. The optimal control efforts are given to minimize the spreading of cholera disease. The method used to solve this optimal control problem is Pontryagin Minimum Principle. Based on the simulation, the provision of optimal controls in forms of education and treatment in individuals and chlorination can minimize the concentration of bacteria and the number of infected human.

Keywords


Chlorination, cholera transmission model, control treatment, education campaign, optimal control, Pontryagin Minimum Principle