IDEAS home Printed from https://ideas.repec.org/p/pra/mprapa/115858.html
   My bibliography  Save this paper

Mathematical Analysis of SEIR Model to Prevent COVID-19 Pandemic

Author

Listed:
  • Mohajan, Devajit
  • Mohajan, Haradhan

Abstract

This paper is to analyze Susceptible-Exposed-Infectious-Recovered (SEIR) COVID-19 pandemic model. In this article, a modified SEIR model is constructed, and is also discussed various aspects of it with mathematical analysis to study the dynamic behavior of this model. The spread of this disease through immigration can be represented by the SEIR model. COVID-19 is a highly infectious disease that spreads through talking, sneezing, coughing, and touching. In this model, there is an incubation period during the spread of the disease. During the gestation period, a patient is attacked by SARS-CoV-2 coronavirus and shows symptoms of COVID-19, but cannot spread the disease. The horizontal transmission of COVID-19 worldwide can be represented and explained by SEIR model. Maximal control of the pandemic disease COVID-19 can be possible by the optimum vaccination policies. The study also investigates the equilibrium of the disease. In the study, a Lyapunov function is created to analyze the global stability of the disease-free equilibrium. The generation matrix method is analyzed to obtain the basic reproduction number and has discussed the global stability of COVID-19 spreading.

Suggested Citation

  • 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.
    • Handle: RePEc:pra:mprapa:115858
    as

    Download full text from publisher

    File URL: https://mpra.ub.uni-muenchen.de/115858/1/MPRA_paper_115858.pdf
    File Function: original version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. David Berger & Kyle Herkenhoff & Chengdai Huang & Simon Mongey, 2022. "Testing and Reopening in an SEIR Model," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 43, pages 1-21, January.
    2. Haradhan Kumar MOHAJAN, 2018. "Qualitative research methodology in social sciences and related subjects," Journal of Economic Development, Environment and People, Alliance of Central-Eastern European Universities, vol. 7(1), pages 23-48, March.
    3. Mohajan, Haradhan, 2011. "Greenhouse gas emissions increase global warming," MPRA Paper 50839, University Library of Munich, Germany, revised 18 Apr 2011.
    4. David Berger & Kyle Herkenhoff & Chengdai Huang & Simon Mongey, 2022. "Testing and Reopening in an SEIR Model," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 43, pages 1-21, January.
    5. Mohajan, Haradhan, 2020. "Most Fatal Pandemic COVID-19 Outbreak: An Analysis of Economic Consequences," MPRA Paper 101623, University Library of Munich, Germany, revised 03 Apr 2020.
    6. MOHAJAN, Haradhan Kumar, 2017. "Two Criteria For Good Measurements In Research: Validity And Reliability," Annals of Spiru Haret University, Economic Series, Universitatea Spiru Haret, vol. 17(4), pages 59-82.
    7. 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).
    8. Mohajan, Haradhan, 2016. "A Comprehensive Analysis of Knowledge Management Cycles," MPRA Paper 83088, University Library of Munich, Germany, revised 16 Nov 2016.
    9. Mohajan, Haradhan, 2013. "Poverty and economic development of Kenya," MPRA Paper 51072, University Library of Munich, Germany, revised 06 Jul 2013.
    10. Mohajan, Haradhan, 2014. "Improvement of Health Sector in Kenya," MPRA Paper 58420, University Library of Munich, Germany, revised 10 Aug 2014.
    11. Mohajan, Haradhan, 2022. "Mathematical Analysis of SIR Model for COVID-19 Transmission," MPRA Paper 114390, University Library of Munich, Germany, revised 10 Jul 2022.
    12. Chowdhury, Tasnim & Datta, Rajib & Mohajan, Haradhan, 2013. "Green finance is essential for economic development and sustainability," MPRA Paper 51169, University Library of Munich, Germany, revised 09 Jun 2013.
    13. Mohajan, Haradhan, 2020. "Quantitative Research: A Successful Investigation in Natural and Social Sciences," MPRA Paper 105149, University Library of Munich, Germany, revised 15 Nov 2020.
    14. Islam, Jamal & Mohajan, Haradhan & Datta, Rajib, 2012. "Aspects of microfinance system of Grameen Bank of Bangladesh," MPRA Paper 50691, University Library of Munich, Germany, revised 27 Mar 2012.
    15. Mohajan, Haradhan, 2017. "Tacit Knowledge for the Development of Organizations," MPRA Paper 83040, University Library of Munich, Germany, revised 14 Mar 2017.
    16. Mohajan, Haradhan, 2011. "Green marketing is a sustainable marketing system in the twenty first century," MPRA Paper 50857, University Library of Munich, Germany, revised 16 Feb 2012.
    17. Mohajan, Haradhan, 2021. "Global COVID-19 Pandemic: Prevention and Protection Techniques," MPRA Paper 106923, University Library of Munich, Germany, revised 19 Jan 2021.
    Full references (including those not matched with items on IDEAS)

    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. Mohajan, Devajit & Mohajan, Haradhan, 2023. "A Study on Nonlinear Budget Constraint of a Local Industrial Firm of Bangladesh: A Profit Maximization Investigation," MPRA Paper 117324, University Library of Munich, Germany, revised 27 Mar 2023.
    2. Mohajan, Devajit & Mohajan, Haradhan, 2022. "Feminism and feminist grounded theory: a comprehensive research analysis," MPRA Paper 114914, University Library of Munich, Germany, revised 15 Jul 2022.
    3. Mohajan, Devajit & Mohajan, Haradhan, 2023. "Mathematical Model for Nonlinear Budget Constraint: Economic Activities on Increased Budget," MPRA Paper 117299, University Library of Munich, Germany, revised 17 Mar 2023.
    4. Mohajan, Devajit & Mohajan, Haradhan, 2023. "Bulimia Nervosa: A Psychiatric Problem of Disorder," MPRA Paper 117258, University Library of Munich, Germany, revised 17 Mar 2023.
    5. Mohajan, Devajit & Mohajan, Haradhan, 2023. "Sensitivity Analysis for Utility Maximization: A Study on Lagrange Multipliers and Commodity Coupons," MPRA Paper 117077, University Library of Munich, Germany, revised 06 Jan 2023.
    6. Mohajan, Devajit & Mohajan, Haradhan, 2023. "Long-Term Regular Exercise Increases V̇O2max for Cardiorespiratory Fitness," MPRA Paper 116962, University Library of Munich, Germany, revised 04 Feb 2023.
    7. Mohajan, Devajit & Mohajan, Haradhan, 2023. "A Study on Body Fat Percentage for Physical Fitness and Prevention of Obesity: A Two Compartment Model," MPRA Paper 117158, University Library of Munich, Germany, revised Feb 2023.
    8. Mohajan, Devajit & Mohajan, Haradhan, 2023. "Glaserian Grounded Theory and Straussian Grounded Theory: Two Standard Qualitative Research Approaches in Social Science," MPRA Paper 117017, University Library of Munich, Germany, revised 20 Feb 2023.
    9. Mohajan, Devajit & Mohajan, Haradhan, 2023. "Economic Situations of Lagrange Multiplier When Costs of Various Inputs Increase for Nonlinear Budget Constraint," MPRA Paper 116879, University Library of Munich, Germany, revised 12 Feb 2023.
    10. Mohajan, Devajit & Mohajan, Haradhan, 2023. "Broca Index: A Simple Tool to Measure Ideal Body Weight," MPRA Paper 116852, University Library of Munich, Germany, revised 18 Jan 2023.
    11. Mohajan, Devajit & Mohajan, Haradhan, 2023. "Sensitivity Analysis between Lagrange Multipliers and Consumer Budget: Utility Maximization Case," MPRA Paper 116907, University Library of Munich, Germany, revised 19 Feb 2023.
    12. Mohajan, Devajit & Mohajan, Haradhan, 2023. "Sensitivity Analysis of Inputs of an Organization: A Profit Maximization Exploration," MPRA Paper 117121, University Library of Munich, Germany, revised 12 Mar 2023.
    13. Mohajan, Devajit & Mohajan, Haradhan, 2023. "Economic Aspects of Profit Maximization if Cost of Principal Raw Material Increases," MPRA Paper 117453, University Library of Munich, Germany, revised 22 Mar 2023.
    14. Mohajan, Devajit & Mohajan, Haradhan, 2023. "Obesity and Its Related Diseases: A New Escalating Alarming in Global Health," MPRA Paper 116797, University Library of Munich, Germany, revised 05 Feb 2023.
    15. Mohajan, Devajit & Mohajan, Haradhan, 2023. "Various Problems Arise in Industrial Economics If Wage Rate Increases: A Study for Nonlinear Budget Constraint," MPRA Paper 117553, University Library of Munich, Germany, revised 04 Apr 2023.
    16. Mohajan, Devajit & Mohajan, Haradhan, 2022. "Sensitivity Analysis among Commodities and Prices: A Utility Maximization Perception," MPRA Paper 116232, University Library of Munich, Germany, revised 15 Dec 2022.
    17. Mohajan, Devajit & Mohajan, Haradhan, 2023. "Sensitivity Analysis for Profit Maximization with Respect to Per Unit Cost of Subsidiary Raw Materials," MPRA Paper 116538, University Library of Munich, Germany, revised 10 Jan 2023.
    18. Mohajan, Devajit & Mohajan, Haradhan, 2023. "Families of Grounded Theory: A Theoretical Structure for Novel Researchers," MPRA Paper 116752, University Library of Munich, Germany, revised 24 Jan 2023.
    19. Mohajan, Devajit & Mohajan, Haradhan, 2022. "Importance of Total Coupon in Utility Maximization: A Sensitivity Analysis," MPRA Paper 115553, University Library of Munich, Germany, revised 17 Sep 2022.
    20. Mohajan, Devajit & Mohajan, Haradhan, 2022. "Utility maximization analysis of an emerging firm: a bordered Hessian approach," MPRA Paper 115838, University Library of Munich, Germany, revised 25 Sep 2022.

    More about this item

    Keywords

    SEIR epidemic model; COVID-19 pandemic; Basic reproduction number; Immunity; Vaccinated; Latent period;
    All these keywords.

    JEL classification:

    • C3 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables
    • C51 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Construction and Estimation
    • C53 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Forecasting and Prediction Models; Simulation Methods
    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • C68 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computable General Equilibrium Models
    • I15 - Health, Education, and Welfare - - Health - - - Health and Economic Development

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    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:pra:mprapa:115858. 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: Joachim Winter (email available below). General contact details of provider: https://edirc.repec.org/data/vfmunde.html .

    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.