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

Changjin Xu (), Muhammad Farman, Zixin Liu () and Yicheng Pang ()
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Changjin Xu: Guizhou Key Laboratory of Economics System Simulation, Guizhou University of Finance and Economics, Guiyang 550025, P. R. China
Muhammad Farman: ��Institute of Mathematics, Khwaja Fareed University of Engineering and Information Technology, Rahim Yar Khan, Pakistan‡Department of Computer Science and Mathematics, Lebanese American University, Beirut, Lebanon§Near East University, Mathematics Research Center, Department of Mathematics, Near East Boulevard, PC
Zixin Liu: �School of Mathematics and Statistics, Guizhou University of Finance and Economics, Guiyang 550025, P. R. China
Yicheng Pang: �School of Mathematics and Statistics, Guizhou University of Finance and Economics, Guiyang 550025, P. R. China

FRACTALS (fractals), 2024, vol. 32, issue 02, 1-17

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 α shows that these methods are effective for giving better results in fractional order as compared to classical order derivatives.

Keywords: Epidemic Model; Uniqueness; Stability; CPC Operator; Laplace Transform Transform; Convergence Analysis (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1142/S0218348X24400140

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