References
- Zhu H, Wei L, Niu P. The novel coronavirus outbreak in Wuhan, China. Global Health Research Policy. 2020;5:6.
- World Health Organization, WHO characterizes Covid-19 as a pandemic, 2020. Available from: https://www.who.int/emergencies/diseases/novel-coronavirus-2019/situation-reports.
- World Health Organization (WHO), Advice for Public., Archived from the original on 26 January 2020 [cited 2020 Feb 10].
- U.S. Centers for Disease Control and Prevention (CDC), Coronavirus Disease 2019 (COVID-19): prevention and treatment. Archived from the original on March 11, 2020 [cited 2020 Mar 11].
- Mwalili S, Kimathi M, Ojiambo V, et al. SEIR model for COVID-19 dynamics incorporating the environment and social distancing. BMC Notes. 2020;13:352. Nairobi, Kenya.
- Kejela T. Probable factors contributing to the fast spread of the novel coronavirus (COVID-19) in Ethiopia. J Infect Dis Epidemiol. 2020;6:169. DOI:10.23937/2474-3658/1510169
- Rajagopal K, Hasanzadeh N, Parastesh F, et al. A fractional-order model for the novel coronavirus (COVID-19) outbreak. Nonlinear Dyn Springer Nature B V. 2020;101:711–718. DOI:10.1007/s11071-020-05757-6
- Baleanu D, Abadi MH, Jajarmi A, et al. A new comparative study on the general fractional model of COVID-19 with isolation and quarantine effects. Alex Eng J. 2022;61:4779–4791. DOI:10.1016/j.aej.2021.10.030
- Allegretti S, Bulai IM, Marino R, et al. Vaccination effect conjoint to fraction of avoided contacts for a sars-Cov-2 mathematical model. Math Model Numer Simul with Appl. 2021;1(2):56–66. DOI:10.53391/mmnsa.2021.01.006
- Ikram R, Khan A, Zahri M, et al. Extinction and stationary distribution of a stochastic COVID-19 epidemic model with time-delay. Comput Biol Med. 2022;141:1–11. Article Id 105115. DOI:10.1016/j.compbiomed.2021.105115
- Youssef H, Alghamdi N, Ezzat MA, et al. A New Dynamical Modelling of the epidemic disease to assessing the rates of spread of COVID-19 in Saudi Arabia: SEIRQ Model, Research Square, 2020.
- Mwalili S, Kimathi M, Ojiambo V, et al. SEIR model for COVID-19 dynamics incorporating the environment and social distancing. BMC Res Notes. 2020;13:352.
- Khan MA, Atangana A. Modeling the dynamics of novel coronavirus (2019-nCov) with fractional derivative. Alex Eng J. 2020;59(4):2379–2389. DOI:10.1016/j.aej.2020.02.033
- Ahmed I, Baba IA, Yusuf A, et al. Analysis of Caputo fractional-order model for COVID-19 with lockdown. Adv Differ Equ. 2020;2020:394.
- Jajarmi A, Baleanu D, Vahid KZ, et al. A general fractional formulation and tracking control for immunogenic tumor dynamics. Math Meth Appl Sci. 2022;45:667–680. DOI:10.1002/mma.7804
- Özköse F, Yılmaz S, Yavuz M, et al. A fractional modeling of tumor–immune system interaction related to lung cancer with real data. Eur Phys J Plus. 2022;137:40. DOI:10.1140/epjp/s13360-021-02254-6
- Moore EJ, Sirisubtawee S, Koonprasert S. A Caputo–Fabrizio fractional differential equation model for HIV/AIDS with treatment compartment. Adv Differ Equ. 2019;2019:200. DOI:10.1186/s13662-019-2138-9
- Alqahtani RT. Atangana-Baleanu derivative with fractional order applied to the model of groundwater within an unconfined aquifer. J Nonlinear Sci Appl. 2016;9:3647–3654. Available from: www.tjnsa.com.
- Deressa CT, Duressa GF. Analysis of Atangana Baleanu fractional order SEAIR epidemic model with optimal control. Adv Differ Equ. 2021;2021:174. DOI:10.1186/s13662-021-03334-8
- Uçar S. Analysis of a basic SEIRA model with Atangana-Baleanu derivative. AIMS Math. 2020;5(2):1411–1424. DOI:10.3934/math.2020097
- Suthar DL, Habenom H, Aychluh M. Effect of vaccination on the transmission dynamics of COVID-19 in Ethiopia. Results Phys. 2022;32:1–11. Article Id 105022. DOI:10.1016/j.rinp.2021.105022
- Habenom H, Aychluh M, Suthar DL, et al. Modeling and analysis on the transmission of covid-19 pandemic in Ethiopia. Alex Eng J. 2022;61:5323–5342. DOI:10.1016/j.aej.2021.10.054
- Jajarmi A, Baleanu D, Vahid KZ, et al. A new and general fractional Lagrangian approach: A capacitor microphone case study. Results Phys. 2021;31:1–8. Article Id 104950. DOI:10.1016/j.rinp.2021.104950
- Habenom H, Suthar DL, Baleanu D, et al. A numerical simulation on the effect of vaccination and treatments for the fractional hepatitis B model. J Comput Nonlinear Dyn. 2021;16:1–6. DOI:10.1115/1.4048475
- Din A, Abidin MZ. Analysis of fractional-order vaccinated hepatitis-B epidemic model with mittag-Leffler kernels. Math Model Numer Simul With Appl. 2022;2(2):59–72. DOI:10.53391/mmnsa.2022.006
- Naik PA, Eskandari Z, Yavuz M, et al. Complex dynamics of a discrete-time Bazykin–Berezovskaya prey-predator model with a strong Allee effect. J Comput Appl Math. 2022;413:1–12. Article Id 114401. DOI:10.1016/j.cam.2022.114401
- Bonyah E, Yavuz M, Baleanu D, et al. A robust study on the listeriosis disease by adopting fractal-fractional operators. Alex Eng J. 2022;61(3):2016–2028. DOI:10.1016/j.aej.2021.07.010
- Hammouch Z, Yavuz M, Özdemi N. Numerical solutions and synchronization of a variable-order fractional chaotic system. Math Model Numer Simul With Appl. 2021;1(1):11–23.
- Joshi H, Jha BK. Chaos of calcium diffusion in Parkinson's infectious disease model and treatment mechanism via hilfer fractional derivative. Math Model Numer Simul With Appl. 2021;1(2):84–94. DOI:10.53391/mmnsa.2021.01.008
- Naik PA, Owolabi KM, Yavuz M, et al. Chaotic dynamics of a fractional order HIV-1 model involving AIDS-related cancer cells. Chaos Solitons Fractals. 2020;140:1–13. Article Id 110272. DOI:10.1016/j.chaos.2020.110272
- Shiralashetti SC, Deshi AB, Mutalik Desai PB. Haar wavelet collocation method for the numerical solution of singular initial value problems. Ain Shams Eng J. 2016;7:663–670. DOI:10.106/j.asej.2015.06.006
- Mahdy AMS, El-dahdouh AAA. Numerical simulation for the approximating of given up smoking model in fractional order. Int J Appl Eng Res. 2019;14(2):589–593.
- Atangana A, araz SI. A novel covid-19 model with fractional differential operators with singular and non-singular kernels: analysis and numerical scheme based on Newton polynomial. Alex Eng J. 2021;60:3781–3806. DOI:10.1016/j.aej.2021.02.016
- Gebremeskel AA, Berhe HW, Atsbaha HA. Mathematical modelling and analysis of COVID-19 epidemic and predicting its future situation in Ethiopia. Results Phys. 2021;22:1–10. Article Id 103853. DOI:10.1016/j.rinp.2021.103853
- Omar OAM, Elbarkouky RA, Ahmed HM. Fractional stochastic models for COVID-19: case study of Egypt. Results Phys. 2021;23:1–7. Article Id 104018. DOI:10.1016/j.rinp.2021.104018
- Peter OJ, Qureshi S, Yusuf A, et al. A new mathematical model of COVID-19 using real data from Pakistan. Results Phys. 2021;24:1–10. Article Id 104098. DOI:10.1016/j.rinp.2021.104098
- Okuonghae D, Omame A. Analysis of a mathematical model for COVID-19 population dynamics in Lagos, Nigeria. Chaos Solitons Fract. 2020;139:1–18. Article Id 110032. DOI:10.1016/j.chaos.2020.110032
- Özköse F, Yavuz M, Şenel MT, et al. Fractional order modelling of omicron SARS-CoV-2 variant containing heart attack effect using real data from the United Kingdom. Chaos Solitons Fractals. 2022;157:1–24. Article Id 111954. DOI:10.1016/j.chaos.2022.111954
- Özköse F, Yavuz M. Investigation of interactions between COVID-19 and diabetes with hereditary traits using real data: a case study in Turkey. Comput Biol Med. 2022;141:1–22. Article Id 105044. DOI:10.1016/j.compbiomed.2021.105044
- Yavuz M, Coşar FÖ, Günay F, et al. A new mathematical modeling of the COVID-19 pandemic including the vaccination campaign. Open J Model Simul. 2021;9:299–321. DOI:10.4236/ojmsi.2021.93020
- Abdo MS, Shah K, Wahash HA, et al. On a comprehensive model of the novel coronavirus (COVID-19) under Mittag-Leffler derivative. Chaos Solitons Fractals. 2020;135:1–15. Article Id 109867.
- Atangana A, Baleanu D. New fractional derivatives with nonlocal and non-singular kernel: theory and application to heat transfer model. Therm Sci. 2016;20:763–769.
- Saad KM, Khader MM, Gomez-Aguilar JF, et al. Numerical solutions of the fractional fisher's type equations with Atangana-Baleanu fractional derivative by using spectral collocation methods. Interdiscip J Nonlinear Sci. 2019;29:1–10.
- Alqahtani RT. Atangana-Baleanu derivative with fractional order applied to the model of groundwater within an unconfined aquifer. J Nonlinear Sci Appl. 2016;9:3647–3654.
- Canuto C, Hussaini MY, Quarteroni A, et al. Spectral methods: fundamentals in single domain. New York: Springer; 2006.
- Baleanu D, Fernandez A. On some new properties of fractional derivatives with Mittag-Leffler kernel. Commun Nonlinear Sci Numer Simul. 2018;59:444–462.
- Ministry of Health-Ethiopia and Ethiopian Public Health Institute, 6 June 2021. Available from: http://www.ephi.gov.et and https://www.worldometers.info.