SOLUTION OF CHOLERA CARRIER EPIDEMIC MODEL USING DIFFERENTIAL TRANSFORM METHOD (DTM)

In this paper, Differential Transform Method (DTM) is applied to the deterministic mathematical model of cholera carrier epidemic. The model is transformed using DTM operational properties, hence, the power series of the model system is generated and also an approximate solution of the model was established. The accuracy of DTM is demonstrated against Fehlberg Runge-Kutta method with order four interpolant (RKF-45) numerical solution and it demonstrated high accuracy of the results. Plotted DTM solution is found to be in good agreement with the popular Runge-Kutta solution.In this paper, Differential Transform Method (DTM) is applied to the deterministic mathematical model of cholera carrier epidemic. The model is transformed using DTM operational properties, hence, the power series of the model system is generated and also an approximate solution of the model was established. The accuracy of DTM is demonstrated against Fehlberg Runge-Kutta method with order four interpolant (RKF-45) numerical solution and it demonstrated high accuracy of the results. Plotted DTM solution is found to be in good agreement with the popular Runge-Kutta solution.