Numerical and theoretical analysis of an awareness COVID-19 epidemic model via generalized Atangana-Baleanu fractional derivative

• Autorzy: Baba Isa Abdullahi , Ahmed Idris , Al-Mdallal Qasem M , Jarad Fahd , Yunusa Salisu

Identyfikatory

DOI

10.17512/jamcm.2022.1.01

• Języki publikacji: EN

Abstrakty

EN

In this paper, a COVID-19 Awareness model in the setting of a generalized fractional Atangana-Baleanu derivative is proposed. The existence and uniqueness of a solution of the proposed fractional-order model are investigated under the techniques of fixed point theorems. In addition, we perform the predictor-corrector method to find its numeric solutions and present the graphs of the various solutions using different values of the parameters embodied in the derivative.

Słowa kluczowe

EN

existence; uniqueness; generalized ABC fractional derivative; fixed point theorems; numerical simulations

PL

istnienie; wyjątkowość; uogólniona pochodna ułamkowa ABC; twierdzenia o punktach stałych; symulacje numeryczne

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2022
• Tom: Vol. 21, nr 1
• Strony: 7--18
• Opis fizyczny: Bibliogr. 15 poz., rys., tab.

Twórcy

autor

Baba Isa Abdullahi

• Department of Mathematical Science, Bayero University Kano, Kano, Nigeria

autor

Ahmed Idris

• Department of Mathematics, Sule Lamido University, Kafin Hausa, Jigawa State, Nigeria

autor

Al-Mdallal Qasem M

• Department of Mathematical Sciences, United Arab Emirates University, Al Ain, Abu Dhabi, UAE

autor

Jarad Fahd

• Department of Mathematics, Çankaya University Ankara, 06790 Turkey

autor

Yunusa Salisu

• Department of Counsellor Education and Counselling Psychology, Universiti Putra Malaysia, Serdang, Malaysia

Bibliografia

• [1] World Health Organization. Novel coronavirus diseases 2019, https://www.who.int/emergencies/diseases/novel-coronavirus-2019, Accessed: 2020-05-05.
• [2] World Health Organization. Report of the WHO-China Joint Mission on Coronavirus Disease 2019 (COVID-19), February 2020, https://www.who.int/docs/defaultsource/coronaviruse/who-china-jointmission-on-covid-19-final-report.pdf, Accessed: 2020-05-05.
• [3] Nigeria Centre for Disease Control. COVID-19 Outbreak in Nigeria: Situation Report, https://ncdc.gov.ng/diseases/sitreps/?cat=14, Accessed: 2020-05-05.
• [4] Roy, D., Tripathy, S., Kar, S.K., Sharma, N., Verma, S.K., & Kaushal, V. (2020). Study of knowledge, attitude, anxiety & perceived mental healthcare need in Indian population during COVID-19 pandemic. Asian Journal of Psychiatry, 102083.
• [5] Effiong, A.I., Nseobot, I.R., Johnny, A.E., Frank, E.I., Abere, O.J., Essien, M.O., Ukpong, E.S., & others. (2020). Assessment of Nigerian television authority (NTA) ongoing programme awareness campaigns on corona virus in Nigeria. Electronic Research Journal of Social Sciences and Humanities, 2.
• [6] Podlubny, I. (1999). Fractional Differential Equations: An Introduction to Fractional Derivatives, Fractional Differential Equations, to Methods of their Solution and Some of their Applications (Vol. 198). Elsevier.
• [7] Ahmed, I., Baba, I.A., Yusuf, A., Kumam, P., & Kumam, W. (2020). Analysis of Caputo fractional-order model for COVID-19 with lockdown. Advances in Difference Equations, 2020(1), 1-14.
• [8] Khan, H., G ́omez-Aguilar, J.F., Alkhazzan, A., & Khan, A. (2020). A fractional order HIV-TB coinfection model with nonsingular Mittag-Leffler Law. Mathematical Methods in the Applied Sciences, 43(6), 3786-3806.
• [9] Caputo, M., & Fabrizio, M. (2015). A new definition of fractional derivative without singular kernel. Progress in Fractional Differentiation and Applications, 1(2), 87-92.
• [10] Atangana, A., & Baleanu, D. (2016). New fractional derivatives with nonlocal and non-singular kernel: Theory and application to heat transfer model. Thermal Science, 20(2), 763-769.
• [11] Abdeljawad, T., & Baleanu, D. (2018). On fractional derivatives with generalized Mittag-Leffler kernels. Advances in Difference Equations, 2018(1), 468.
• [12] Abdeljawad, T., Hajji, M.A., Al-Mdallal, Q.M., & Jarad, F. (2020). Analysis of some generalized AB-Fractional logistic models. Alexandria Engineering Journal, 59(4), 2141-2148.
• [13] Baba, I.A., & Baleanu, D. (2020). Awareness as the most effective measure to Mitigate the spread of COVID-19 in Nigeria. Cmc-Computers Materials & Continua, 65(3), 1945-1957.
• [14] Abdeljawad, T. (2019). Fractional operators with generalized Mittag-Leffler kernels and their iterated differintegrals. Chaos: An Interdisciplinary Journal of Nonlinear Science, 29(2), 023102.
• [15] Ahmed, I., Kumam, P., Shah, K., Borisut, P., Sitthithakerngkiet, K., & Demba, M.A. (2020).