Mathematical Modelling of Epidemiology
DOI:
https://doi.org/10.47611/jsrhs.v10i3.2154Keywords:
Mathematics, Mathematical Modelling, EpidemiologyAbstract
In order to combat the spread of infectious diseases, scientists from a combination of fields have started to develop mathematical models to represent these diseases. With computer models and applied mathematics, one can predict and control various diseases. We present the evolution and implementation of different models used in mathematical modelling as well as a demonstration of the SIR model in MATLAB.
Downloads
References or Bibliography
Reasons Why Pandemics like COVID-19 Are Becoming More Likely, GAVI, 28 Apr. 2020,www.gavi.org/vaccineswork/5-reasons-why-pandemics-like-covid-19-are-becoming-more-likely.
History.com Editors. “Pandemics That Changed History.” History.com, A&E Television Networks, 27 Feb. 2019, www.history.com/topics/middle-ages/pandemics-timeline.
Blower S, Bernoulli D. An attempt at a new analysis of the mortality caused by smallpox and of the advantages of inoculation to prevent it. 1766. Rev Med Virol. 2004;14:275–88. doi: 10.1002/rmv.443. [PubMed] [CrossRef] [Google Scholar]
Wilson, Edwin B, and Jane Worcester. The Law of Mass Action in Epidemiology, NCBI, 13 Dec. 1944, www.ncbi.nlm.nih.gov/pmc/articles/PMC1078744/pdf/pnas01670-0031.pdf.
Kumar, Ridhima. Marketing Analytics through Markov Chain, Towards Data Science, 28 Aug. 2019, towardsdatascience.com/marketing-analytics-through-markov-chain-a9c7357da2e8.
Milwid, Rachael, et al. Toward Standardizing a Lexicon of Infectious Disease Modeling Terms, Frontiers, 28 Sept. 2016, www.frontiersin.org/articles/10.3389/fpubh.2016.00213/full.
Ceres, Kristina M., et al. “Characterizing Infectious Disease Progression through Discrete States Using Hidden Markov Models.” PLOS ONE, Public Library of Science, 20 Nov. 2020, journals.plos.org/plosone/article?id=10.1371%2Fjournal.pone.0242683.
Zhang, Yuanzhao, et al. “Applying Artificial Intelligence Methods for the Estimation of Disease Incidence: The Utility of Language Models.” Frontiers in Digital Health, Frontiers, 15 Dec. 2020, www.frontiersin.org/articles/10.3389/fdgth.2020.569261/full.
Siettos, Constantinos I, and Lucia Russo. “Mathematical modeling of infectious disease dynamics.” Virulence vol. 4,4 (2013): 295-306. doi:10.4161/viru.24041
Hulth, Anette et al. “Web queries as a source for syndromic surveillance.” PloS one vol. 4,2 (2009): e4378. doi:10.1371/journal.pone.0004378
“About Covid-19 Epidemiology.” Centers for Disease Control and Prevention, Centers for Disease Control and Prevention, 1 July 2020, www.cdc.gov/coronavirus/2019-ncov/science/about-epidemiology/index.html.
Akyildiz, F Talay, and Fehaid Salem Alshammari. “Complex mathematical SIR model for spreading of COVID-19 virus with Mittag-Leffler kernel.” Advances in difference equations vol. 2021,1 (2021): 319. doi:10.1186/s13662-021-03470-1
Giovanni Valentini (2021). sirs_model (https://www.mathworks.com/matlabcentral/fileexchange/82993-sirs_model), MATLAB Central File Exchange. Retrieved July 29, 2021.
Smith, David, and Lang Moore. “The Sir Model for Spread of Disease - the Differential Equation Model.” The SIR Model for Spread of Disease - The Differential Equation Model , Mathematical Association of America, Dec. 2004, www.maa.org/press/periodicals/loci/joma/the-sir-model-for-spread-of-disease-the-differential-equation-model.
Ahmed, Idris et al. “A mathematical model of Coronavirus Disease (COVID-19) containing asymptomatic and symptomatic classes.” Results in physics vol. 21 (2021): 103776. doi:10.1016/j.rinp.2020.103776
Lee, B Y et al. “Modelling during an emergency: the 2009 H1N1 influenza pandemic.” Clinical microbiology and infection : the official publication of the European Society of Clinical Microbiology and Infectious Diseases vol. 19,11 (2013): 1014-22. doi:10.1111/1469-0691.12284
Published
How to Cite
Issue
Section
Copyright (c) 2021 Shreya Nagunuri; Dr. William Tavernetti
This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Copyright holder(s) granted JSR a perpetual, non-exclusive license to distriute & display this article.