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Title: Application of Optimal Control Theory to a Mathematical Model of Alcohol Abuse with Education Campaign and a Therapeutic Treatment
Authors: Bundit Unyong
Aff: Department of Mathematics, Faculty of Science and Technology, Phuket Rajabhat University, Phuket, Thailand 83000
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Keywords: Alcohol Epidemic; Basic Reproductive Number; Optimal Control; Equilibrium
Abstract:Background: Optimal control theory is applied to a modified SITR model, we use two controls function representing education campaign and a therapeutic treatment that to reduce the number of the infectious individuals, and to increase the number of susceptible individuals and treatment individuals, respectively. The objective function is based on a combination of minimizing the number of infected individuals and maximizing the number of susceptible and recovery individuals. Results: The optimal controls are obtained by solving the optimality system. Conclusion: However, the result from the numerical solutions of the models as shown by using education campaign and a therapeutic treatment supporting all alcohol consumers to quit drinking will be the best strategies and the results be compared for supporting the analytic results.