STUDY OF INTEGER AND FRACTIONAL ORDER COVID-19 MATHEMATICAL MODEL

Rujira Ouncharoen, Kamal Shah, Rahim Ud Din, Thabet Abdeljawad, Ali Ahmadian, Soheil Salahshour and Thanin Sitthiwirattham
Additional contact information
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

FRACTALS (fractals), 2023, vol. 31, issue 04, 1-13

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.

Keywords: Dynamical System; The Basic Reproduction Number; Global Stability; Lyapunov Function; Fractional Order RK2 Method (search for similar items in EconPapers)
Date: 2023
References: Add references at CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://www.worldscientific.com/doi/abs/10.1142/S0218348X23400467
Access to full text is restricted to subscribers

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wsi:fracta:v:31:y:2023:i:04:n:s0218348x23400467

Ordering information: This journal article can be ordered from

DOI: 10.1142/S0218348X23400467

Access Statistics for this article

FRACTALS (fractals) is currently edited by Tara Taylor

More articles in FRACTALS (fractals) from World Scientific Publishing Co. Pte. Ltd.
Bibliographic data for series maintained by Tai Tone Lim ().