Optimal Control with Treatment and Water Sanitation for Cholera Epidemic Model

This paper proposes a mathematical model for cholera using optimal control of treatment through quarantine and water sanitation. Cholera is acute diarrhoea caused by Vibrio bacteria infecting the intestinal tract. The analysis related to spread this disease carried out approach. constructed demonstrated epidemiologically. proposed infected individuals during period sanitation, namely environmental hygiene, especially water. strategy aims suppress number reduce concentration due disease. To solve problem, we employ 4th-order forward-backward Runge-Kutta method. Based on simulation results, decreased significantly. Moreover, method can transfer recovered faster than an treatment.