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Research Articles

Investigation of the dynamics of COVID-19 with SEIHR nonsingular and nonlocal kernel fractional model

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Pages 1030-1048 | Received 25 Jul 2021, Accepted 27 Nov 2021, Published online: 27 Dec 2021

References

  • World Health Organization (WHO), [cited 2020 Dec 23]. Available from: https://www.who.int/emergencies/diseases/novel-coronavirus-2019/mediaresources/news
  • Deressa CT, Duressa GF. Modeling and optimal control analysis of transmission dynamics of COVID-19: the case of Ethiopia. Alexandria Eng J. 2021;60(1):719–732.
  • Deressa CT, Mussa YO, Duressa GF. Optimal control and sensitivity analysis for transmission dynamics of Coronavirus. Results Phys. 2020;19:103642.
  • Ndaïrou F, Area I, Nieto JJ, et al. Mathematical modeling of COVID-19 transmission dynamics with a case study of Wuhan. Chaos Solitons Fractals. 2020;135:109846.
  • 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(1):1–5.
  • Khan MA, Azizah M, Ullah S. A fractional model for the dynamics of competition between commercial and rural banks in Indonesia. Chaos Solitons Fractals. 2019;122:32–46.
  • Deressa CT, Duressa GF. Analysis of Atangana–Baleanu fractional-order SEAIR epidemic model with optimal control. Adv Differ Equations. 2021;2021(1):1–25.
  • Bonyah E, Atangana A, Khan MA. Modeling the spread of computer virus via Caputo fractional derivative and the beta-derivative. Asia Pacific J Comput Eng. 2017;4(1):1.
  • Khan H, Gómez‐Aguilar JF, Alkhazzan A, et al. A fractional-order HIV‐TB coinfection model with nonsingular Mittag‐Leffler Law. Math Methods Appl Sci. 2020;43(6):3786–3806.
  • Buluta H, Kumarb D, Singhb J, et al. Analytic study for a fractional model of HIV infection of CD4+ T lymphocyte cells. Math Nat Sci. 2018;2:33–43.
  • Alzahrani E, El-Dessoky MM, Baleanu D. Mathematical modeling and analysis of the novel Coronavirus using Atangana–Baleanu derivative. Results Phys. 2021;25:104240.
  • Djida JD, Atangana A, Area I. Numerical computation of a fractional derivative with nonlocal and nonsingular kernel. Math Modell Nat Phenom. 2017;12(3):4–13.
  • Naik PA, Yavuz M, Qureshi S, et al. Modeling and analysis of COVID-19 epidemics with treatment in fractional derivatives using real data from Pakistan. Eur Phys J Plus. 2020;135(10):1–42.
  • Ahmad Z, Arif M, Ali F, et al. A report on COVID-19 epidemic in Pakistan using SEIR fractional model. Sci Rep. 2020;10(1):1–4.
  • Nabi KN, Abboubakar H, Kumar P. Forecasting of COVID-19 pandemic: from integer derivatives to fractional derivatives. Chaos Solitons Fractals. 2020;141:110283.
  • Baleanu D, Diethelm K, Scalas E, et al. Fractional calculus: models and numerical methods. World Scientific; 2012 January 27.
  • Caputo M, Fabrizio M. A new definition of fractional derivative without singular kernel. Progr Fract Differ Appl. 2015;1(2):73–85.
  • Atangana A, Baleanu D. New fractional derivatives with nonlocal and nonsingular kernel: theory and application to heat transfer model. arXiv Preprint. 2016 Jan 20;arXiv:1602.03408 763–769 .
  • Khan MA, Atangana A. Modeling the dynamics of novel coronavirus (2019-nCov) with fractional derivative. Alexandria Eng J. 2020;59(4):2379–2389.
  • Hristov J On the Atangana-Baleanu derivative and its relation to the fading memory concept: the diffusion equation formulation. In: Fractional derivatives with Mittag-Leffler kernel. Switzerland AG: Springer; 2019. p. 175–193.
  • Atangana A. Mathematical model of survival of fractional calculus, critics and their impact: how singular is our world? Adv Differ Equ. 2021;2021:403.
  • Awais M, Alshammari FS, Ullah S, et al. Modeling and simulation of the novel Coronavirus in Caputo derivative. Results Phys. 2020;19:103588.
  • Baleanu D, Jajarmi A, Sajjadi SS, et al. A new fractional model and optimal control of a tumor-immune surveillance with nonsingular derivative operator. Chaos: An Interdiscip J Nonlinear Sci. 2019;29(8):083127.
  • Uçar S. Analysis of a basic SEIRA model with Atangana-Baleanu derivative [J]. AIMS Math. 2020;5(2):1411–1424.
  • Atangana A, Khan MA. Modeling and analysis of competition model of bank data with fractal-fractional Caputo-Fabrizio operator. Alexandria Eng J. 2020;59(4):1985–1998.
  • Hoan LV, Akinlar MA, Inc M, et al. A new fractional-order compartmental disease model. Alexandria Eng J. 2020;59(5):3187–3196.
  • Khan MF, Alrabaiah H, Ullah S, et al. A new fractional model for vector-host disease with saturated treatment function via singular and nonsingular operators. Alexandria Eng J. 2021;60(1):629–645.
  • Atangana A, Araz Sİ. Modeling and forecasting the spread of COVID-19 with stochastic and deterministic approaches: africa and Europe. Adv Differ Equations. 2021;2021(1):1–07.
  • Atangana A, Araz Sİ. Mathematical model of COVID-19 spread in Turkey and South Africa: theory, methods, and applications. Adv Differ Equations. 2020;2020(1):1–89.
  • Atangana A. Extension of rate of change concept: from local to nonlocal operators with applications. Results Phys. 2020 19 ;103515.
  • Aghdaoui H, Tilioua M, Nisar KS, et al. A Fractional Epidemic Model with Mittag-Leffler Kernel for COVID-19. Math Bio Bioinform. 2021;16(1):39–56.
  • Thabet ST, Abdo MS, Shah K, et al. Study of transmission dynamics of COVID-19 mathematical model under ABC fractional order derivative. Results Phys. 2020;19:103507.
  • Khan MA, Atangana A, Alzahrani E. The dynamics of COVID-19 with quarantined and isolation. Adv Differ Equations. 2020;2020(1):1–22.
  • Din A, Shah K, Seadawy A, et al. On a new conceptual mathematical model dealing the current novel coronavirus-19 infectious disease. Results Phys. 2020;19:103510.
  • Available from: https://en.wikipedia.org/wiki/COVID-19_pandemic_in_Ethiopia 20 November 2020
  • Toufik M, Atangana A. New numerical approximation of fractional derivative with nonlocal and nonsingular kernel: application to chaotic models. Eur Phys J Plus. 2017;132(10):1–6.
  • Diekmann O, Heesterbeek JA, Roberts MG. The construction of next-generation matrices for compartmental epidemic models. J Royal Soc Interface. 2010;7(47):873–885.
  • UN-world.[cited 2020 Dec 26]. Available from: https://www.macrotrends.net/countries/ETH/Ethiopia/death-rate.
  • Ross B, editor. Fractional calculus and its applications: proceedings of the international conference held at the University of New Haven West Haven. Springer; 2006.
  • Atangana A, Araz Sİ. New numerical method for ordinary differential equations: newton polynomial. J Comput Appl Math. 2020;372:112622.
  • Abdeljawad T, Baleanu D. Integration by parts and its applications of a new nonlocal fractional derivative with Mittag-Leffler nonsingular kernel. JNSA. 2017;10:3.
  • Singh J, Kumar D, Baleanu D. On the analysis of fractional diabetes model with exponential law. Adv Differ Equations. 2018;2018(1):1–5.
  • Ogunrinde RB, Nwajeri UK, Fadugba SE, et al. Dynamic model of COVID-19 and citizens reaction using fractional derivative. Alexandria Eng J. 2021;60(2):2001–2012.

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