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Study Of Integer And Fractional Order Covid-19 Mathematical Model

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  • RUJIRA OUNCHAROEN

    (Research Group in Mathematics and Applied Mathematics, Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand†International College of Digital Innovation Chiang Mai University, Chiang Mai 50200, Thailand)

  • KAMAL SHAH

    (��Department of Mathematics and Sciences, Prince Sultan University, 11586 Riyadh, Saudi Arabia§Department of Mathematics, University of Malakand, Chakdara Dir (L), 18000 Khyber Pakhtunkhwa, Pakistan)

  • RAHIM UD DIN

    (�Department of Mathematics, University of Malakand, Chakdara Dir (L), 18000 Khyber Pakhtunkhwa, Pakistan)

  • THABET ABDELJAWAD

    (��Department of Mathematics and Sciences, Prince Sultan University, 11586 Riyadh, Saudi Arabia¶Department of Medical Research, China Medical University, Taichung 40402, Taiwan∥Department of Mathematics Kyung Hee University, 26 Kyungheedae-ro, Dongdaemun-gu, Seoul 02447, Korea)

  • ALI AHMADIAN

    (*Department of Law, Economics and Human Sciences, Mediterranea University of Reggio Calabria, 89125 Reggio Calabria, Italy††Department of Computer Science and Mathematics, Lebanese American University, Beirut, Lebanon‡‡Department of Mathematics, Near East University, Nicosia, TRNC, Mersin 10, Turkey)

  • SOHEIL SALAHSHOUR

    (��†Department of Computer Science and Mathematics, Lebanese American University, Beirut, Lebanon‡‡Department of Mathematics, Near East University, Nicosia, TRNC, Mersin 10, Turkey§§Faculty of Engineering and Natural Science, Bahcesehir University Istanbul, Turkey)

  • THANIN SITTHIWIRATTHAM

    (�¶Mathematics Department, Faculty of Science and Technology, Suan Dusit University, Bangkok 10300, Thailand)

Abstract

In this paper, we study a nonlinear mathematical model which addresses the transmission dynamics of COVID-19. The considered model consists of susceptible (S), exposed (E), infected (I), and recovered (R) individuals. For simplicity, the model is abbreviated as SEIR. Immigration rates of two kinds are involved in susceptible and infected individuals. First of all, the model is formulated. Then via classical analysis, we investigate its local and global stability by using the Jacobian matrix and Lyapunov function method. Further, the fundamental reproduction number ℛ0 is computed for the said model. Then, we simulate the model through the Runge–Kutta method of order two abbreviated as RK2. Finally, we switch over to the fractional order model and investigate its numerical simulations corresponding to different fractional orders by using the fractional order version of the aforementioned numerical method. Finally, graphical presentations are given for the approximate solution of various compartments of the proposed model. Also, a comparison with real data has been shown.

Suggested Citation

  • Rujira Ouncharoen & Kamal Shah & Rahim Ud Din & Thabet Abdeljawad & Ali Ahmadian & Soheil Salahshour & Thanin Sitthiwirattham, 2023. "Study Of Integer And Fractional Order Covid-19 Mathematical Model," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 31(04), pages 1-13.
    • Handle: RePEc:wsi:fracta:v:31:y:2023:i:04:n:s0218348x23400467
    DOI: 10.1142/S0218348X23400467
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    Cited by:

    1. Bukhari, Ayaz Hussain & Raja, Muhammad Asif Zahoor & Alquhayz, Hani & Abdalla, Manal Z.M. & Alhagyan, Mohammed & Gargouri, Ameni & Shoaib, Muhammad, 2023. "Design of intelligent hybrid NAR-GRNN paradigm for fractional order VDP chaotic system in cardiac pacemaker with relaxation oscillator," Chaos, Solitons & Fractals, Elsevier, vol. 175(P2).

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