1,908
Views
4
CrossRef citations to date
0
Altmetric
Research Article

Numerical modeling on age-based study of coronavirus transmission

ORCID Icon, ORCID Icon, ORCID Icon, ORCID Icon & ORCID Icon
Pages 609-634 | Received 31 Jan 2022, Accepted 17 Aug 2022, Published online: 22 Sep 2022

References

  • Zhu H, Wei L, Niu P. The novel coronavirus outbreak in Wuhan. China: Global Health Research Policy; 2020. vol. 5, no. 6.
  • Centers for Disease Control and Prevention, Outbreak of 2019 Novel Coronavirus (2019-nCoV) in Wuhan. 2020 Jan 21. Available from: www.cdc.gov/csels/dls/locs.
  • World Health Organization, WHO characterizes Covid-19 as a pandemic. 2020 Mar 11. 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 2020 Jan 26. 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 2020 Mar 11. cited 2020 Mar 11.
  • Mwalili S, Kimathi M, Ojiambo V, et al. SEIR Model for COVID-19 dynamics incorporating the environment and social distancing. Mwalili et al., editors. BMC Notes. Vol. 13, no. 352, Nairobi, Kenya: 2020 Apr.
  • Moore SE, Okyere E. Controlling the Transmission Dynamics of COVID-19. Vol. 1, no. 1, University of Cape Coast; 2020 Mar. p. 13–21.
  • Zeb A, Alzahrani E, Erturk VS, et al. Mathematical model for coronavirus disease 2019 (COVID-19) containing isolation class. London, United Kingdom: BioMed research international; 2020.
  • Mishra AM, Purohit SD, Owolabi KM, et al. A nonlinear epidemiological model considering asymptotic and quarantine classes for SARS CoV-2 virus. Chaos Solitons Fractals. 2020;138:109953.
  • World Health Organization, Ethiopia, the first case of COVID-19 confirmed in Ethiopia. 2020 Mar 13. Available from: https://www.afro.who.int/news/first-Marchcase-covid-19-confirmed-ethiopia.
  • Ministry of Health-Ethiopia and Ethiopian Public Health Institute. 2021 Jun 6. Available from: www.moh.gov.et and http://www.ephi.gov.et/.
  • Suthar DL, Habenom H, Aychluh M. Effect of vaccination on the transmission dynamics of COVID-19 in Ethiopia. Results Phys. 2022;32:105022. 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(7):5323–5342.
  • Brauer F. Mathematical epidemiology: past, present, and future. Infect Dis Model. 2017;2(2):113–127.
  • Agarwal P, Ramadan MA, Rageh AA, et al. A fractional-order mathematical model for analyzing the pandemic trend of COVID-19. Math Methods Appl Sci. 2022;45(8):4625–4642.
  • ul Rehman A, Singh R, Agarwal P. Modeling, analysis and prediction of new variants of covid-19 and dengue co-infection on complex network. Chaos Solitons Fractals. 2021;150:111008.
  • Sahu GP, Dhar J. Dynamics of a SEQIHRS epidemic model with media coverage, quarantine, and isolation in a community with pre-existing immunity. J Math Anal Appl. 2015;421(2):1651–1672.
  • Kermack WO, McKendrick AG. A contribution to the mathematical theory of epidemics. Proc R Soc A. 1927;115(772):700–721.
  • Arafa AAM, Rida SZ, Khalil M. Solutions of fractional order model of childhood diseases with constant vaccination strategy. Math Sci Lett. 2012;1(1):17–23.
  • Khan MA, Atangana A, Alzahrani E, et al. The dynamics of COVID-19 with quarantined and isolation. Adv Differ Equ. 2020;425:1–22.
  • 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(795):1–42.
  • Ahmad S, Ullah A, Al-Msallal QM, et al. Fractional order mathematical modeling of COVID-19 transmission. Nat C Biotech Info US Nat Lib Med. 2020;139:110256.
  • 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(6):4779–4791.
  • K. Chowdhury SME, Chowdhury JT, Ahmed SF, et al. Mathematical modelling of COVID-19 disease dynamics: interaction between immune system and SARS-CoV-2 within host. AIMS Math. 2022;7(2):2618–2633.
  • K. Chowdhury SME, Forkan M, Ahmed SF, et al. Modeling the SARS-CoV-2 parallel transmission dynamics: asymptomatic and symptomatic pathways. Comput Biol Med. 2022;143105264.
  • Gumel AB, Iboi EA, Ngonghala CN, et al. A primer on using mathematics to understand COVID-19 dynamics: modeling, analysis and simulations. Infect Dis Model. 2021;6:148–168.
  • Mahmoudi MR, Baleanu D, Mansor Z, et al. Fuzzy clustering method to compare the spread rate of Covid-19 in the high risks countries. Chaos Solitons Fractals. 2020;140:110230.
  • Din A, Khan A, Baleanu D. Stationary distribution and extinction of stochastic coronavirus (COVID-19) epidemic model. Chaos Solitons Fractals. 2020;139:110036.
  • Podlubny I. Fractional differential equations: an introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications. Amsterdam, Netherlands: Elsevier; 1998.
  • Baleanu D, Diethelm K, Scalas E, et al. Fractional calculus: models and numerical methods. Vol. 3. Singapore: World Scientific; 2012.
  • Sun H, Zhang Y, Baleanu D, et al. A new collection of real world applications of fractional calculus in science and engineering. Commun Nonlinear Sci Numer Simul. 2018;64:213–231.
  • Kiryakova V, Mainardi F, Machado JAT. Recent history of fractional calculus. Commun Nonlinear Sci Numer Simul. 2011;16(3):1140–1153.
  • 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;135:109867.
  • Khan A, Gomez-Aguilar J, Abdeljawad T, et al. Stability and numerical simulation of fractional order plant-nectar-pollinator model. Alex Eng J. 2020;59(1):49–59.
  • Sontakke BR, Shaikh AS. Properties of Caputo operator and its applications to linear fractional differential equations. Int J Eng Res Appl. 2015;5(5):22–27.
  • Kilbas AA, Srivastava HM, Trujillo JJ. Theory and applications of fractional differential equations. Amsterdam, Netherlands: Elsevier; 2006.
  • Oldham KB, Spanier J. The fractional calculus. Cambridge, MA: Academic Press; 1974.
  • Canuto C, Hussaini MY, Quarteroni A, et al. Spectral methods: fundamentals in single domain. Berlin, Germany: Springer; 2006.
  • Khan H, Abdeljawad T, Aslam M, et al. Existence of positive solution and Hyres-Ulam stability for a nonlinear singular-delay-fractional differential equation. Adv Differ Equ. 2019;2019(104):1–13.
  • Kirk WA, Vasile I. Fixed point theory: an introduction to metric spaces and fixed point theory. Hoboken, NJ: John Wiley; ISBN 0-471-41825-0.
  • Pascal H, Seda AK. A 'Converse' of the Banach contraction mapping theorem. J Electr Eng. 2001;52:3–6.
  • Nakul C, Hyman JM, Cushing JM. Determining important parameters in the spread of malaria through the sensitivity analysis of a mathematical model. Bull Math Biol. 2008;70(5):1272–1296.
  • Okosun KO, Rachid O, Marcus N. Optimal control strategies and cost-effectiveness analysis of a malaria model. Biosystems. 2013;111(2):83–101.