NUMERICAL APPROXIMATION AND ANALYSIS OF EPIDEMIC MODEL WITH CONSTANT PROPORTIONAL CAPUTO OPERATOR

Abstract

The social life, economic issues, and health issues resulting from various diseases will be impacted by the use of the epidemiological model to address the negative effects of drinking in society. The paper aims to investigate a nonlinear drinking epidemic fractional SHTR model in the sense of a Constant Proportional Caputo (CPC) operator. For the CPC operator, a stability study of the fractional order model and the presence of a solution have been made. A nonlinear system of the suggested system has an approximative solution provided by the Laplace Adomian Decomposition technique. A convergence analysis of the system is also treated to show the effect and efficiency of the scheme. Additionally, we offer some numerical outcomes to demonstrate the efficiency of this operator. A comparative study for different values of [Formula: see text] shows that these methods are effective for giving better results in fractional order as compared to classical order derivatives.