IDEAS home Printed from https://ideas.repec.org/a/abf/journl/v59y2024i3p51589-51592.html

Mathematical Modeling of Infectious Disease Spread Using the SIR Model

Author

Listed:
  • Santoshi Misra

    (Associate Professor, HOD Department of Mathematics, St. Ann’s College for Women, India)

Abstract

The spread of infectious diseases poses a continuous challenge to public health worldwide. Mathematical mod- eling has become an essential tool for understanding and predicting epidemic dynamics, enabling policymak- ers to design effective intervention strategies. This paper explores the application of the classic SIR (Suscepti- ble-Infectious-Recovered) model in simulating the spread of infectious diseases.

Suggested Citation

  • Santoshi Misra, 2024. "Mathematical Modeling of Infectious Disease Spread Using the SIR Model," Biomedical Journal of Scientific & Technical Research, Biomedical Research Network+, LLC, vol. 59(3), pages 51589-51592, November.
    • Handle: RePEc:abf:journl:v:59:y:2024:i:3:p:51589-51592
    DOI: 10.26717/BJSTR.2024.59.009302
    as

    Download full text from publisher

    File URL: https://biomedres.us/pdfs/BJSTR.MS.ID.009302.pdf
    Download Restriction: no
    File URL: https://biomedres.us/fulltexts/BJSTR.MS.ID.009302.php
    Download Restriction: no
    File URL: https://libkey.io/10.26717/BJSTR.2024.59.009302?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
    ---><---

    References listed on IDEAS

    as
    1. Neil M. Ferguson & Derek A. T. Cummings & Christophe Fraser & James C. Cajka & Philip C. Cooley & Donald S. Burke, 2006. "Strategies for mitigating an influenza pandemic," Nature, Nature, vol. 442(7101), pages 448-452, July.
    2. Joël Mossong & Niel Hens & Mark Jit & Philippe Beutels & Kari Auranen & Rafael Mikolajczyk & Marco Massari & Stefania Salmaso & Gianpaolo Scalia Tomba & Jacco Wallinga & Janneke Heijne & Malgorzata Sa, 2008. "Social Contacts and Mixing Patterns Relevant to the Spread of Infectious Diseases," PLOS Medicine, Public Library of Science, vol. 5(3), pages 1-1, March.
    3. Carol Y. Lin, 2008. "Modeling Infectious Diseases in Humans and Animals by KEELING, M. J. and ROHANI, P," Biometrics, The International Biometric Society, vol. 64(3), pages 993-993, September.
    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. Wiriya Mahikul & Somkid Kripattanapong & Piya Hanvoravongchai & Aronrag Meeyai & Sopon Iamsirithaworn & Prasert Auewarakul & Wirichada Pan-ngum, 2020. "Contact Mixing Patterns and Population Movement among Migrant Workers in an Urban Setting in Thailand," IJERPH, MDPI, vol. 17(7), pages 1-11, March.
    2. repec:plo:pcbi00:1002425 is not listed on IDEAS
    3. Marcel Salathé & James H Jones, 2010. "Dynamics and Control of Diseases in Networks with Community Structure," PLOS Computational Biology, Public Library of Science, vol. 6(4), pages 1-11, April.
    4. repec:plo:pcbi00:1001021 is not listed on IDEAS
    5. Wei Zhong, 2017. "Simulating influenza pandemic dynamics with public risk communication and individual responsive behavior," Computational and Mathematical Organization Theory, Springer, vol. 23(4), pages 475-495, December.
    6. Sze-chuan Suen & Margaret L. Brandeau & Jeremy D. Goldhaber-Fiebert, 2018. "Optimal timing of drug sensitivity testing for patients on first-line tuberculosis treatment," Health Care Management Science, Springer, vol. 21(4), pages 632-646, December.
    7. repec:plo:pone00:0045113 is not listed on IDEAS
    8. John M Drake & Tobias S Brett & Shiyang Chen & Bogdan I Epureanu & Matthew J Ferrari & Éric Marty & Paige B Miller & Eamon B O’Dea & Suzanne M O’Regan & Andrew W Park & Pejman Rohani, 2019. "The statistics of epidemic transitions," PLOS Computational Biology, Public Library of Science, vol. 15(5), pages 1-14, May.
    9. Brotherhood, Luiz & Kircher, Philipp & Santos, Cezar & Tertilt, Michèle, 2023. "Optimal Age-based Policies for Pandemics: An Economic Analysis of Covid-19 and Beyond," IDB Publications (Working Papers) 13295, Inter-American Development Bank.
    10. Toxvaerd, Flavio & Rowthorn, Robert, 2022. "On the management of population immunity," Journal of Economic Theory, Elsevier, vol. 204(C).
    11. Alexandru Topîrceanu, 2024. "A Spatial Agent-Based Model for Studying the Effect of Human Mobility Patterns on Epidemic Outbreaks in Urban Areas," Mathematics, MDPI, vol. 12(17), pages 1-20, September.
    12. Rakowski, Franciszek & Gruziel, Magdalena & Bieniasz-Krzywiec, Łukasz & Radomski, Jan P., 2010. "Influenza epidemic spread simulation for Poland — a large scale, individual based model study," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(16), pages 3149-3165.
    13. Rhodes, Christopher A. & House, Thomas, 2013. "The rate of convergence to early asymptotic behaviour in age-structured epidemic models," Theoretical Population Biology, Elsevier, vol. 85(C), pages 58-62.
    14. Audrey McCombs & Claus Kadelka, 2020. "A model-based evaluation of the efficacy of COVID-19 social distancing, testing and hospital triage policies," PLOS Computational Biology, Public Library of Science, vol. 16(10), pages 1-18, October.
    15. Tobias Brett & Marco Ajelli & Quan-Hui Liu & Mary G Krauland & John J Grefenstette & Willem G van Panhuis & Alessandro Vespignani & John M Drake & Pejman Rohani, 2020. "Detecting critical slowing down in high-dimensional epidemiological systems," PLOS Computational Biology, Public Library of Science, vol. 16(3), pages 1-19, March.
    16. Elizabeth Goult & Laura Andrea Barrero Guevara & Michael Briga & Matthieu Domenech de Cellès, 2024. "Estimating the optimal age for infant measles vaccination," Nature Communications, Nature, vol. 15(1), pages 1-14, December.
    17. Rachael M. Jones & Elodie Adida, 2013. "Selecting Nonpharmaceutical Interventions for Influenza," Risk Analysis, John Wiley & Sons, vol. 33(8), pages 1473-1488, August.
    18. David J. Haw & Christian Morgenstern & Giovanni Forchini & Robert Johnson & Patrick Doohan & Peter C. Smith & Katharina D. Hauck, 2022. "Data needs for integrated economic-epidemiological models of pandemic mitigation policies," Papers 2209.01487, arXiv.org.
    19. Jing Yan & Suvajyoti Guha & Prasanna Hariharan & Matthew Myers, 2019. "Modeling the Effectiveness of Respiratory Protective Devices in Reducing Influenza Outbreak," Risk Analysis, John Wiley & Sons, vol. 39(3), pages 647-661, March.
    20. Brotherhood, Luiz & Kircher, Philipp & Santos, Cezar & Tertilt, Michele, 2024. "Optimal Age-based Policies for Pandemics: An Economic Analysis of Covid-19 and Beyond," LIDAM Discussion Papers CORE 2024012, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    21. Bracher, Johannes & Held, Leonhard, 2022. "Endemic-epidemic models with discrete-time serial interval distributions for infectious disease prediction," International Journal of Forecasting, Elsevier, vol. 38(3), pages 1221-1233.
    22. Alexandru Topîrceanu, 2023. "On the Impact of Quarantine Policies and Recurrence Rate in Epidemic Spreading Using a Spatial Agent-Based Model," Mathematics, MDPI, vol. 11(6), pages 1-19, March.
    23. repec:plo:pone00:0206501 is not listed on IDEAS
    24. Hamed Amini & Andreea Minca, 2024. "Social distancing game and insurance investment in a pandemic," Annals of Operations Research, Springer, vol. 336(3), pages 2009-2036, May.

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;
    ;
    ;
    ;
    ;
    ;
    ;

    JEL classification:

    • R00 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General - - - General
    • Z0 - Other Special Topics - - General

    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:abf:journl:v:59:y:2024:i:3:p:51589-51592. 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: Angela Roy (email available below). General contact details of provider: .

    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.