A ROBUST COMPUTATIONAL DYNAMICS OF FRACTIONAL-ORDER SMOKING MODEL WITH RELAPSE HABIT

Anwar Zeb (), Sunil Kumar and Tareq Saeed ()
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Anwar Zeb: Department of Mathematics, COMSATS University Islamabad, Abbottabad Campus, 22060, Pakistan
Sunil Kumar: Department of Mathematics, National Institute of Technology, Jamshedpur, 831014, Jharkhand, India3Nonlinear Dynamics Research Center (NDRC), Ajman University, Ajman, UAE
Tareq Saeed: Department of Mathematics, King Abdulaziz University, 41206, Jeddah, Saudi Arabia

FRACTALS (fractals), 2022, vol. 30, issue 01, 1-11

Abstract: The social habit of smoking has affected the whole world in a social manner. It is the main cause of diseases like cancers, asthma, bad breath, etc., and a source of spreading of infectious diseases like COVID-19. This work is related to an existing smoking model with relapse habit converted in fractional order. First, formulation of fractional-order smoking model is presented and then the dynamics of proposed problem is analyzed. Fixed-point theory via Banach contraction and Schauder theorems is used to derive the existence and uniqueness of the model. At last, the adaptive predictor–corrector algorithm and Runge–Kutta fourth-order (RK4) strategy are used to perform simulation. To bolster the validity of the theoretical results, a set of numerical simulations are performed. A good agreement between hypothetical and numerical results is demonstrated via numerical simulations using MATLAB software.

Keywords: Smoking Model; Adaptive Predictor–Corrector Algorithm; Banach Contraction; Simulations (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1142/S0218348X22400345

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