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

Author:

XU CHANGJIN1ORCID,FARMAN MUHAMMAD234ORCID,LIU ZIXIN5,PANG YICHENG5

Affiliation:

1. Guizhou Key Laboratory of Economics System Simulation, Guizhou University of Finance and Economics, Guiyang 550025, P. R. China

2. Institute of Mathematics, Khwaja Fareed University of Engineering and Information Technology, Rahim Yar Khan, Pakistan

3. Department of Computer Science and Mathematics, Lebanese American University, Beirut, Lebanon

4. Near East University, Mathematics Research Center, Department of Mathematics, Near East Boulevard, PC: 99138, Nicosia/Mersin 10 Turkey

5. School of Mathematics and Statistics, Guizhou University of Finance and Economics, Guiyang 550025, P. R. China

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.

Funder

National Natural Science Foundation of China

Project of High-level Innovative Talents of Guizhou Province

Guizhou Key Laboratory of Big Data Statistical Analysis

University Science and Technology Top Talents Project of Guizhou Province

Foundation of Science and Technology of Guizhou Province

Guizhou University of Finance and Economics

Publisher

World Scientific Pub Co Pte Ltd

Subject

Applied Mathematics,Geometry and Topology,Modeling and Simulation

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