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Research Article

Analysis and estimation of the COVID-19 pandemic by modified homotopy perturbation method

, , ORCID Icon &
Article: 2279170 | Received 24 May 2023, Accepted 28 Oct 2023, Published online: 27 Nov 2023

References

  • Cherniha R, Davydovych V. A mathematical model for the COVID-19 outbreak. arXiv Vol. 2, 2020.
  • Cooper I, Mondal A. A SIR model assumption for the spread of COVID-19 in different communities. NCBI. 2020;139:139–148.
  • Efimov D, Ushirobira U. On interval prediction of COVID-19 development based on a SEIR epidemic model. Vol. 32, Lille, France: CRISTAL-University de; 2020.
  • Pang L, Yang W, Zhang D, et al. Epidemic analysis of COVID-19 in China by dynamical modeling. arXiv. Vol. 2002, 2020.
  • Anirudh A. Mathematical modeling and the transmission dynamics in predicting the COVID-19-What next in combating the pandemic. Infect Dis Model. 2020;5:366–374.
  • Shaikh AS, Shaikh IN, Nisar KS. A mathematical model of COVID-19 using fractional derivative: outbreak in india with dynamics of transmission and control. preprints Not Peer-Reviewed. Vol. 1, 2020.
  • Nisar KS, Kumar S, Kumar R. A new Robotnov fractional-ewponential function based fractional derivative for diffusion equation under external force. Math Methods Appl Sci. 2020;43:1–11.
  • Shah K, Abdeljawed T, Mahariq I. Qualitative analysis of a mathematical model in the time of COVID-19. Hindawi BioMed Res Int. 2020;2020:145–149.
  • Singh J, Ahluwalia PK, Kumar A. Spread of COVID-19 in india: a mathematical model based COVID-19 prediction in India and its different states. medRxiv. Vol. 10, 2020.
  • Wang N., Fu Y., Zhang H., et al. An evaluation of mathematical models for the outbreak of COVID-19. Precis Clin Med. 2020;3(2):85–93. doi: 10.1093/pcmedi/pbaa016
  • Zeb A, Alzahrani E, Erturk VS, et al. Mathematical model for coronavirus disease 2019 (COVID-19) containing isolation class. Biomed Res Int. 2020:2020:415–436.
  • Kumar S, Kumar R, Osman MS, et al. A wavelet based numerical scheme for fractional order SEIR epidemic of measles by using Genocchi polynomials. Numer Methods Partial Differ Equ. 2021;37(2):1250–1268. doi:10.1002/num.v37.2.
  • Ali KK, Osman MS. Analytical and numerical study of the HIV-1 infection of CD4+ T-cells conformable fractional mathematical model that causes acquired immunodeficiency syndrome with the effect of antiviral drug therapy. Math Methods Appl Sci. 2023;46(7):7654–7670. doi: 10.1002/mma.v46.7
  • Izhan M, Yusoff M. The use of system dynamics methodology in building a COVID-19 confirmed case model. Com Math Med. 2020:2020:321–337.
  • Ghosh S, Kumar S, Kumar R. A fractional model for population dynamics of two interacting species by using spectral and hermite wavelets methods. Numer Methods Partial Differ Equ. 2020;37(2):1652–1672.
  • Vijayalaxmi GM, Besi R. A fractional order vaccination model for COVID-19 incorporating environmental transmission. Bull Math Biol. 2022;1:78–110.
  • Joshi H, Yavuz M, Townley S, et al. Stability analysis of a non-singular fractional-order covid-19 model with nonlinear incidence and treatment rate. Phys Scr. 2023;98(4):045216. doi: 10.1088/1402-4896/acbe7a
  • 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. Euro Phys J Plus. 2020;135(1):1–42. doi: 10.1140/epjp/s13360-019-00059-2
  • Yavuz M, Cosar FO, Usta F. A novel modeling and analysis of fractional-order COVID-19 pandemic having a vaccination strategy. In: AIP Conference Proceedings, Vol. 2483, AIP Publishing LLC; 2022.
  • Yavuz M, Hader W. A new mathematical modelling and parameter estimation of COVID-19: a case study in Iraq. AIMS Bioeng. 2022;9(4):420–446. doi: 10.3934/bioeng.2022030
  • Ucar E, Ozdemir N, Altun E. Qualitative analysis and numerical simulations of new model describing cancer. J Comput Appl Math. 2023;422:114899. doi: 10.1016/j.cam.2022.114899
  • Rahman M, Arfan M, Baleanu D. Piecewise fractional analysis of the migration effect in plant-pathogen-herbivore interactions. Bull Math Biol. 2023;1:1–23.
  • Arif F, Majeed Z, Rahman JU, et al. Mathematical modeling and numerical simulation for the outbreak of COVID-19 involving loss of immunity and quarantined class. Math Stat Aspects Health Sci. 2022;2022:89–94.
  • Iqbal N, Chughtai MT, Ullah R. Fractional study of the non-linear Burgers’ equations via a semi-analytical technique. Fractal Fract. 2023;7(2):103. doi: 10.3390/fractalfract7020103
  • Iqbal N, Albalahi AM, Abdo MS, et al. Analytical analysis of fractional-order Newell-Whitehead-Segel equation: a modified homotopy perturbation transform method. Adv Nonlinear Anal Appl. 2022;2022:1–10.
  • Naim M, Sabbar Y, Zeb A. Stability characterization of a fractional-order viral system with the non-cytolytic immune assumption. Math Model Numer Simul Appl. 2022;2:164–176.
  • Evirgin F, Ucar E, Ucar S, et al. Modelling influenza a disease dynamic under Caputo-Fabrizio fractional derivative with distinct contact rates. Math Model Numer Simul Appl. 2023;3:58–73.
  • Ozkose 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;141:105044. doi: 10.1016/j.compbiomed.2021.105044
  • Joshi H, yavuz M, Jha BK. Modelling and analysis of fractional-order vaccination model for control of COVID-19 outbreak using real data. Math Biosci Eng. 2023;20(1):213–240. doi: 10.3934/mbe.2023010
  • Kumar S., Ghosh S., Samet B., et al.  An analysis for heat equations arises in diffusion process using new Yang–Abdel– Aty–Cattani fractional operator. Math Methods Appl Sci. 2020;43(9):6062–6080. doi: 10.1002/mma.v43.9.
  • Verhulst P. nitice sur la loi que la population suit dans son accroissement. Corr Math Phys. 1838;10:113–129.
  • Baleanu D, Mohammadi H, Rezapour S. A fractional differential equation model for the COVID-19 transmission by using the Caputo-Fabrizio derivative. Adv Differ Equ. 2020;299:552–561.
  • Ayala FJ, Gilpin ME, Ehrenfeld JG. Competetion between species: theoretical models and experimental tests. Theor Pop Biol. 1973;4(3):331–356. doi: 10.1016/0040-5809(73)90014-2
  • Brauer F, Castillo Chavez C. Mathematical models in populations biology and epidemiology. Vol. 6, New York (NY): Springer; 2012.
  • https://www.worldometers.info/coronavirus/ (accessed on 1 May 2020).
  • Matlob MA, Jamali Y. The concepts and applications of fractional order differential calculus in modeling of viscoelastic systems: a primer. arxiv.org. Vol. 6, 2017.
  • Moore EJ, Sirisubtawee S. A Caputo-Fabrizio fractional differential equation model for HIV/AIDS with treatment compartment. Vol. 9. Cham: Springer; 2019. doi: 10.1186/s13662-019-2138-9.
  • Nosheen A, Tariq M, Khan KA. On Caputo fractional derivatives and Caputo-Fabrizio integral operators via (s,m)- convex functions. MDPI. 2023;7(2):187.
  • Srivastava HM, Dubey RS, Jain M. A study of the fractional-order mathematical model of diabetes and its resulting complications. Vol. 26, London: Wiley publication; 2019. doi: 10.1002/mma.5681.