Analyzing the Application of SIR Model to Study the Outbreak of COVID-19: A Case Study in Pakistan
Abstract
Abstract Views: 125The current study aims to examine the exponential rate of the spread of COVID-19 by employing a system dynamic model. The outbreak of COVID-19 was first evidenced on Feb 26, 2020 in Pakistan. The local bodies and law enforcing agencies took the initial preventive measures to restrict COVID-19 to a particular locality but all in vain. A large number of people were infected by this virus which increased the death rate countrywide. The numbers of infected people were alarming and a need was felt to develop the model to calculate the existing reproduction number and transmission rate and highlight its varied values in the coming days. People-friendly measures and government-based policies must be explored to fight against this deadly disease. This paper aims to develop an epidemic model using the system dynamic framework of simulation software STELLA. Additionally, the current study’s purpose is to experiment with the system dynamic model to replicate the progression of the communicable disease and probe multiple combinations of people-based and government-based measures to reduce the spread of the COVID-19 pandemic. These containment measures are of two types; people-based measures and government-based measures which directly affect the reproduction number and infection growth rate of the mitigating circumstances due to COVID-19. Combined efforts of the public and government can combat this global pandemic. The reduced number of reproduction number/recurring cases and infection growth rate are the key metrics to judge and evaluate the effectiveness of containment/ control measures. Therefore, this research points to a more holistic combination of public and government-oriented measures that play a vital role in reducing the increasing infection rate of COVID-19. Simulation results were traced to replicate the real-life settings against four combinations of containment
measures in tabular form and graphical form.
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References
J. Forrester, "Industrial dynamics: a major breakthrough for decision makers," Harvard Bus. Rev., vol. 36, no. 4, pp. 37-65, 1958.
W. O. Kermack and A. G. McKendrick, "A contribution to the mathematical theory of epidemics," Proc. Royal Soc. London. Series A, Contain. Paper. Mathemat Phys. Charac., vol. 115, no. 772, 1927, pp. 700-721, doi: https://doi.org/10.1098/rspa.1927.0118
J. D. Sterman, "System dynamics modeling: tools for learning in a complex world," Califor. Manag. Rev., vol. 43, no. 4, pp. 8-25, July 2001. https://doi.org/10.2307/41166098
J. Sterman, Business dynamics: systems thinking and modeling for a complex world. Irwin McGraw-Hil, 2000.
Z. Wu and J. M. McGoogan, "Characteristics of and important lessons from the coronavirus disease 2019 (COVID-19) outbreak in China: summary of a report of 72 314 cases from the Chinese Center for Disease Control and Prevention," Jama, vol. 323, no. 13, pp. 1239-1242, 2020, doi: https://doi.org/10.1001/jama.2020.2648
A. Waris, A. U. Khan, M. Ali, A. Ali, and A. Baset, "COVID-19 outbreak: current scenario of Pakistan," New. Microb. New. Infect., vol. 35, p. e100681, May 2020, doi: https://doi.org/10.1016/j.nmni.2020.100681
C. A. Favero, A. Ichino, and A. Rustichini, "Restarting the economy while saving lives under Covid-19," 2020.
W. C. Roda, M. B. Varughese, D. Han, and M. Y. Li, "Why is it difficult to accurately predict the COVID-19 epidemic?," Infect. Dis. Modell., vol. 5, pp. 271-281, 2020, doi: https://doi.org/10.1016/j.idm.2020.03.001
K. Saeed, "Jay Forrester's operational approach to economics," Syst. Dynam. Rev., vol. 30, no. 4, pp. 233-261, Apr. 2015, doi: https://doi.org/10.1002/sdr.1525
L. B. Sweeney and J. D. Sterman, "Thinking about systems: student and teacher conceptions of natural and social systems," Syst. Dynamic. Rev. vol. 23, no. 2‐3, pp. 285-311, Oct. 2007, doi: https://doi.org/10.1002/sdr.366
N. Ghaffarzadegan and H. Rahmandad, "Simulation-based Estimation of the Spread of COVID-19 in Iran: actual versus confirmed cases," Syst. Dynamic. Rev., vol. 36, no. 1, pp. 101-129, July 2020, doi: https://doi.org/10.1002/sdr.1655
J. T. Wu, K. Leung, and G. M. Leung, "Nowcasting and forecasting the potential domestic and international spread of the 2019-nCoV outbreak originating in Wuhan, China: a modelling study," The Lancet, vol. 395, no. 10225, pp. 689-697, Mar. 2020, doi: https://doi.org/10.1016/S0140-6736(20)30260-9
J. W. Forrester, "Industrial dynamics—after the first decade," Manag. Sci., vol. 14, no. 7, pp. 398-415, Mar. 1968, doi: https://doi.org/10.1287/mnsc.14.7.398
Sushil, System dynamics: A practical approach for
managerial problems. Wiley Eastern Limited, 1993.
K. Saeed, E. Ryder, and A. Manning, "Cancer as a system dysfunction," Systems, vol. 9, no. 1, pp. e14, doi: https://doi.org/10.3390/systems9010014
A. Cori, N. M. Ferguson, C. Fraser, and S. Cauchemez, "A new framework and software to estimate time-varying reproduction numbers during epidemics," American J. Epidemiol., vol. 178, no. 9, pp. 1505-1512, Sep. 2013, doi: https://doi.org/10.1093/aje/kwt133
D. C. Lane, "The power of the bond between cause and effect: Jay Wright Forrester and the field of system dynamics," Syst. Dynamic. Rev., vol. 23, no. 2‐3, pp. 95-118, Oct. 2007, doi: https://doi.org/10.1002/sdr.370
K. Saeed, "Slicing a complex problem for system dynamics modeling," Syst. Dynamic. Rev., vol. 8, no. 3, pp. 251-261, 1992, doi: https://doi.org/10.1002/sdr.4260080305
A. Raouf and I. Yusuf, Quality management: A customer driven approach. UMT, 2011.
M. F. Bostanudin, S. Al Atassi, and T. S. Fei, "Epidemiology of headache disorders among pharmacy students," American J. Epidemiol. Public Health., 2020;4(1):1-5.
G. P. Richardson and A. I. Pugh III, Introduction to system dynamics modeling with DYNAMO. Productivity Press Inc., 1981.
K. Saeed, "Circumscribing system dynamics modeling and building confidence in models a personal perspective," pp. 1-27, Nov. 2017.
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