IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v147y2021ics0960077921003039.html
   My bibliography  Save this article

Dynamics of SEIR epidemic model by optimal auxiliary functions method

Author

Listed:
  • Marinca, Bogdan
  • Marinca, Vasile
  • Bogdan, Ciprian

Abstract

The aim of the present work is to establish an approximate analytical solution for the nonlinear Susceptible, Exposed, Infected, Recovered (SEIR) model applied to novel coronavirus COVID-19. The mathematical model depending of five nonlinear differential equations, is studied and approximate solutions are obtained using Optimal Auxiliary Functions Method (OAFM). Our technique ensures a fast convergence of the solutions after only one iteration. The nonstandard part of OAFM is described by the presence of so-called auxiliary functions and of the optimal convergence-control parameters. We have a great freedom to select the auxiliary functions and the number of optimal convergence-control parameters which are optimally determined. Our approach is independent of the presence of small or large parameters in the governing equations or in the initial/boundary conditions, is effective, simple and very efficient.

Suggested Citation

  • Marinca, Bogdan & Marinca, Vasile & Bogdan, Ciprian, 2021. "Dynamics of SEIR epidemic model by optimal auxiliary functions method," Chaos, Solitons & Fractals, Elsevier, vol. 147(C).
    • Handle: RePEc:eee:chsofr:v:147:y:2021:i:c:s0960077921003039
    DOI: 10.1016/j.chaos.2021.110949
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077921003039
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2021.110949?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Piovella, Nicola, 2020. "Analytical solution of SEIR model describing the free spread of the COVID-19 pandemic," Chaos, Solitons & Fractals, Elsevier, vol. 140(C).
    2. Asier Ibeas & Manuel de la Sen & Santiago Alonso-Quesada, 2014. "Robust Sliding Control of SEIR Epidemic Models," Mathematical Problems in Engineering, Hindawi, vol. 2014, pages 1-11, March.
    3. Annas, Suwardi & Isbar Pratama, Muh. & Rifandi, Muh. & Sanusi, Wahidah & Side, Syafruddin, 2020. "Stability analysis and numerical simulation of SEIR model for pandemic COVID-19 spread in Indonesia," Chaos, Solitons & Fractals, Elsevier, vol. 139(C).
    4. A. Harir & S. Melliani & H. El Harfi & L. S. Chadli, 2020. "Variational Iteration Method and Differential Transformation Method for Solving the SEIR Epidemic Model," International Journal of Differential Equations, Hindawi, vol. 2020, pages 1-7, July.
    5. Nicolae Herisanu & Vasile Marinca & Gheorghe Madescu & Florin Dragan, 2019. "Dynamic Response of a Permanent Magnet Synchronous Generator to a Wind Gust," Energies, MDPI, vol. 12(5), pages 1-11, March.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Nicolae Herisanu & Bogdan Marinca & Livija Cveticanin & Vasile Marinca, 2023. "Analysis of the Vibro-Impact Nonlinear Damped and Forced Oscillator in the Dynamics of the Electromagnetic Actuation," Mathematics, MDPI, vol. 11(9), pages 1-24, May.
    2. Nicolae Herisanu & Vasile Marinca, 2021. "Analytical Study of Nonlinear Vibration in a Rub-Impact Jeffcott Rotor," Energies, MDPI, vol. 14(24), pages 1-15, December.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Michał Frant & Stanisław Kachel & Wojciech Maślanka, 2023. "Gust Modeling with State-of-the-Art Computational Fluid Dynamics (CFD) Software and Its Influence on the Aerodynamic Characteristics of an Unmanned Aerial Vehicle," Energies, MDPI, vol. 16(19), pages 1-19, September.
    2. Xin, Li & Xi, Chen & Sagir, Mujgan & Wenbo, Zhang, 2023. "How can infectious medical waste be forecasted and transported during the COVID-19 pandemic? A hybrid two-stage method," Technological Forecasting and Social Change, Elsevier, vol. 187(C).
    3. Das, Ayan Kumar & Kalam, Sidra & Kumar, Chiranjeev & Sinha, Ditipriya, 2021. "TLCoV- An automated Covid-19 screening model using Transfer Learning from chest X-ray images," Chaos, Solitons & Fractals, Elsevier, vol. 144(C).
    4. Aguilar-Canto, Fernando Javier & de León, Ugo Avila-Ponce & Avila-Vales, Eric, 2022. "Sensitivity theorems of a model of multiple imperfect vaccines for COVID-19," Chaos, Solitons & Fractals, Elsevier, vol. 156(C).
    5. Yuan, Yiran & Li, Ning, 2022. "Optimal control and cost-effectiveness analysis for a COVID-19 model with individual protection awareness," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 603(C).
    6. Hanthanan Arachchilage, Kalpana & Hussaini, Mohammed Yousuff, 2021. "Ranking non-pharmaceutical interventions against Covid-19 global pandemic using global sensitivity analysis—Effect on number of deaths," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
    7. Hajri, Youssra & Allali, Amina & Amine, Saida, 2024. "A delayed deterministic and stochastic SIRICV model: Hopf bifurcation and stochastic analysis," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 215(C), pages 98-121.
    8. Haiyue Chen & Benedikt Haus & Paolo Mercorelli, 2021. "Extension of SEIR Compartmental Models for Constructive Lyapunov Control of COVID-19 and Analysis in Terms of Practical Stability," Mathematics, MDPI, vol. 9(17), pages 1-25, August.
    9. Roberto Ciavarella & Giorgio Graditi & Maria Valenti & Anna Pinnarelli & Giuseppe Barone & Maurizio Vizza & Daniele Menniti & Nicola Sorrentino & Giovanni Brusco, 2021. "Modeling of an Energy Hybrid System Integrating Several Storage Technologies: The DBS Technique in a Nanogrid Application," Sustainability, MDPI, vol. 13(3), pages 1-35, January.
    10. Sheng Bin, 2022. "Construction and Simulation Analysis of Epidemic Propagation Model Based on COVID-19 Characteristics," IJERPH, MDPI, vol. 20(1), pages 1-16, December.
    11. Wen-Jing Zhu & Shou-Feng Shen & Wen-Xiu Ma, 2022. "A (2+1)-Dimensional Fractional-Order Epidemic Model with Pulse Jumps for Omicron COVID-19 Transmission and Its Numerical Simulation," Mathematics, MDPI, vol. 10(14), pages 1-14, July.
    12. Zhang, Zizhen & Rahman, Ghaus ur & Gómez-Aguilar, J.F. & Torres-Jiménez, J., 2022. "Dynamical aspects of a delayed epidemic model with subdivision of susceptible population and control strategies," Chaos, Solitons & Fractals, Elsevier, vol. 160(C).
    13. Rubayyi T. Alqahtani & Abdelhamid Ajbar, 2021. "Study of Dynamics of a COVID-19 Model for Saudi Arabia with Vaccination Rate, Saturated Treatment Function and Saturated Incidence Rate," Mathematics, MDPI, vol. 9(23), pages 1-13, December.
    14. Gong, Wei & Wang, Zhanping, 2023. "Sliding motion control of Echinococcosis transmission dynamics model," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 205(C), pages 468-482.
    15. Rajvikram Madurai Elavarasan & Aritra Ghosh & Tapas K. Mallick & Apoorva Krishnamurthy & Meenal Saravanan, 2019. "Investigations on Performance Enhancement Measures of the Bidirectional Converter in PV–Wind Interconnected Microgrid System," Energies, MDPI, vol. 12(14), pages 1-22, July.
    16. Mohajan, Devajit & Mohajan, Haradhan, 2022. "Mathematical Analysis of SEIR Model to Prevent COVID-19 Pandemic," MPRA Paper 115858, University Library of Munich, Germany, revised 25 Aug 2022.
    17. Mohamed M. Mousa & Fahad Alsharari, 2021. "Convergence and Error Estimation of a New Formulation of Homotopy Perturbation Method for Classes of Nonlinear Integral/Integro-Differential Equations," Mathematics, MDPI, vol. 9(18), pages 1-14, September.
    18. Avila-Ponce de León, Ugo & Pérez, Ángel G.C. & Avila-Vales, Eric, 2020. "An SEIARD epidemic model for COVID-19 in Mexico: Mathematical analysis and state-level forecast," Chaos, Solitons & Fractals, Elsevier, vol. 140(C).
    19. Gaetano Perone, 2022. "Using the SARIMA Model to Forecast the Fourth Global Wave of Cumulative Deaths from COVID-19: Evidence from 12 Hard-Hit Big Countries," Econometrics, MDPI, vol. 10(2), pages 1-23, April.
    20. Rashid Nawaz & Laiq Zada & Abraiz Khattak & Muhammad Jibran & Adam Khan, 2019. "Optimum Solutions of Fractional Order Zakharov–Kuznetsov Equations," Complexity, Hindawi, vol. 2019, pages 1-9, December.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:chsofr:v:147:y:2021:i:c:s0960077921003039. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.