A NEW FRACTIONAL-ORDER STABILITY ANALYSIS OF SIR MODEL FOR THE TRANSMISSION OF BURULI DISEASE: A BIOMEDICAL APPLICATION

Riaz Ahmad, Asma Farooqi, Rashada Farooqi, Ghulam Bary, Muhammad Abdul Basit, Ilyas Khan and Abdullah Mohamed ()
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Riaz Ahmad: Faculty of Science, Yibin University, Yibin, 644000 Sichuan, P. R. China
Asma Farooqi: Faculty of Science, Yibin University, Yibin, 644000 Sichuan, P. R. China
Rashada Farooqi: ��Wah Medical College POF Hospital, Wah Cantt 47040, Pakistan
Ghulam Bary: Faculty of Science, Yibin University, Yibin, 644000 Sichuan, P. R. China
Muhammad Abdul Basit: �Department of Mechanical Engineering, Pakistan Institute of Engineering and Applied Sciences, Islamabad, Pakistan
Ilyas Khan: ��Department of Mathematics, College of Science Al-Zulfi, Majmaah University, Al-Majmaah 11952, Saudi Arabia
Abdullah Mohamed: �Research Centre, Future University in Egypt, New Cairo 11835, Egypt

FRACTALS (fractals), 2022, vol. 30, issue 05, 1-11

Abstract: In this paper, a new computing technique is investigated for the cause of Mycobacterium ulcerans (MU) with the help of differential equations through the SIR model. This study is carried out to find the cause between the ulcer and the environment for the spread of Buruli ulcer (BU). Fractional-order SIR model is applied to discuss in detail the BU disease. The construction and development of this given numerical scheme are performed for the SIR epidemiological model concerning the transmission dynamics of BUs. Mathematical modeling of the presented scheme with the help of stability techniques is accomplished. Further, the behavior of the scheme is accessed by the evaluation of the different parameters of interest. The attained numerical results are observed for the illustration of the benefit of introducing a fractional model. Finally, we profound that the presented numerical scheme maintains all required control measuring features of the corresponding dynamical system and decreases the ancillary cost when studied over a long time. With the help of a given novel and unique approach, a significant observation is noted and recommended for other epidemiological fractional-order models. In future, this novel fractal technique will be appertained in chemical and biomedical engineering applications.

Keywords: Fractal; SIR Model; Nonlinear Fractional Equation; Stability Analysis; Buruli Disease (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1142/S0218348X22401715

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