Research article

Mathematical modeling to study the interactions of two risk populations in COVID-19 spread in Thailand

  • Received: 11 August 2022 Revised: 16 October 2022 Accepted: 18 October 2022 Published: 26 October 2022
  • MSC : 34A34, 65L20, 65L80, 93A30

  • The use of vaccines has always been controversial. Individuals in society may have different opinions about the benefits of vaccines. As a result, some people decide to get vaccinated, while others decide otherwise. The conflicting opinions about vaccinations have a significant impact on the spread of a disease and the dynamics of an epidemic. This study proposes a mathematical model of COVID-19 to understand the interactions of two populations: the low risk population and the high risk population, with two preventive measures. Unvaccinated individuals with chronic diseases are classified as high risk population while the rest are a low risk population. Preventive measures used by low risk group include vaccination (pharmaceutical way), while for the high risk population they include wearing masks, social distancing and regular hand washing (non-pharmaceutical ways). The susceptible and infected sub-populations in both the low risk and the high risk groups were studied in detail through calculations of the effective reproduction number, model analysis, and numerical simulations. Our results show that the introduction of vaccination in the low risk population will significantly reduce infections in both subgroups.

    Citation: Siriprapa Ritraksa, Chadaphim Photphanloet, Sherif Eneye Shuaib, Arthit Intarasit, Pakwan Riyapan. Mathematical modeling to study the interactions of two risk populations in COVID-19 spread in Thailand[J]. AIMS Mathematics, 2023, 8(1): 2044-2061. doi: 10.3934/math.2023105

    Related Papers:

  • The use of vaccines has always been controversial. Individuals in society may have different opinions about the benefits of vaccines. As a result, some people decide to get vaccinated, while others decide otherwise. The conflicting opinions about vaccinations have a significant impact on the spread of a disease and the dynamics of an epidemic. This study proposes a mathematical model of COVID-19 to understand the interactions of two populations: the low risk population and the high risk population, with two preventive measures. Unvaccinated individuals with chronic diseases are classified as high risk population while the rest are a low risk population. Preventive measures used by low risk group include vaccination (pharmaceutical way), while for the high risk population they include wearing masks, social distancing and regular hand washing (non-pharmaceutical ways). The susceptible and infected sub-populations in both the low risk and the high risk groups were studied in detail through calculations of the effective reproduction number, model analysis, and numerical simulations. Our results show that the introduction of vaccination in the low risk population will significantly reduce infections in both subgroups.



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    [1] Travel Week, "More room and less crowds" for visitors to reopened Thailand right now, 2022. Available from: https://www.travelweek.ca/news/more-room-and-less-crowds-for-visitors-to-reopened-thailand-right-now-tats-santi-sawangcharoen/.
    [2] CNN Travel, Unlocking the world: traveling to Thailand during COVID-19: What you need to know before you go, 2022. Available from: https://edition.cnn.com/travel/article/thailand-travel-covid-19/index.html.
    [3] M. Piraveenan, S. Sawleshwarkar, M. Walsh, I. Zablotska, S. Bhattacharyya, H. H. Farooqui, et al., Optimal governance and implementation of vaccination programmes to contain the COVID-19 pandemic, R. Soc. Open Sci., 8 (2021), 210429. https://doi.org/10.1098/rsos.210429 doi: 10.1098/rsos.210429
    [4] M. Piraveenan, S. Sawleshwarkar, M. Walsh, I. Zablotska, S. Bhattacharyya, H. H. Farooqui, et al., Optimal governance and implementation of vaccination programmes to contain the COVID-19 pandemic, R. Soc. Open Sci., 8 (2021), 210429. https://doi.org/10.1098/rsos.210429 doi: 10.1098/rsos.210429
    [5] Department of Disease Control, Thailand, COVID-19 vaccine progress, 2022. Available from: https://ddc.moph.go.th/vaccine-covid19/.
    [6] J. Manatee, T. Chirasatienpon, R. Tiamjan, K. Amnatsatsue, R. Nguanjairak, A. V. Miranda, et al., Can Thailand achieve COVID‐19 herd immunity, Public Health Chall., 1 (2022). https://doi.org/10.1002/puh2.7
    [7] F. Jana, K. Annac, F. Erdsiek, Y. Yilmaz-Aslan, P. Brzoska, What are the reasons for refusing a COVID-19 vaccine? A qualitative analysis of social media in Germany, BMC Public Health, 22 (2022), 1–8. https://doi.org/10.1186/s12889-022-13265-y doi: 10.1186/s12889-022-13265-y
    [8] A. Zuzek, G. Lucila, E. Cristian. L. Rocca, J. R. Iglesias, A. L. Braunstein, Epidemic spreading in multiplex networks influenced by opinion exchanges on vaccination, PLoS One, 12 (2017). https://doi.org/10.1371/journal.pone.0186492 doi: 10.1371/journal.pone.0186492
    [9] D. Graeber, C. Schmidt-Petri, C. Schröder, Attitudes on voluntary and mandatory vaccination against COVID-19: evidence from Germany, PLoS One, 16 (2017). https://doi.org/10.1371/journal.pone.0248372 doi: 10.1371/journal.pone.0248372
    [10] Bloomberg News, These countries are slapping the unvaccinated with fines and bans, 2022. Available from: https://www.bloomberg.com/news/articles/2021-12-01/these-countries-are-slapping-the-unvaccinated-with-fines-bans.
    [11] CNN Health, Tracking COVID-19 vaccinations worldwide, 2022. Available from: https://www.cnn.com/interactive/2021/health/global-covid-vaccinations/.
    [12] Mckinsey Company, Reimagining travel: Thailand tourism after the COVID-19 pandemic, 2022. Available from: https://www.mckinsey.com/industries/travel-logistics-and-infrastructure/our-insights/reimagining-travel-thailand-tourism-after-the-covid-19-pandemic.
    [13] TAT News, Thailand pass' registration scheme to be lifted from 1 July 2022, 2022. Available from: https://www.tatnews.org/2022/06/thailand-pass-registration-scheme-to-be-lifted-from-1-july-2022/.
    [14] The New York Times, Tracking coronavirus vaccinations around the world, 2022. Available from: https://www.nytimes.com/interactive/2021/world/covid-vaccinations-tracker.html.
    [15] Statista, Tourism industry in Thailand-statistics and facts, 2022. Available from: https://www.statista.com/topics/6845/tourism-industry-in-thailand/.
    [16] R. Asempapa, B. Oduro, O. O. Apenteng, V. M. Magagula, A COVID-19 mathematical model of at-risk populations with non-pharmaceutical preventive measures: the case of Brazil and South Africa, Infec. Dis. Model., 7 (2022), 45–61. https://doi.org/10.1016/j.idm.2021.11.005 doi: 10.1016/j.idm.2021.11.005
    [17] H. W. Hethcote, The mathematics of infectious diseases, SIAM Rev., 42 (2000), 599–653. https://doi.org/10.1137/S0036144500371907 doi: 10.1137/S0036144500371907
    [18] O. Diekmann, J. A. P. Heesterbeek, J. A. Metz, On the definition and the computation of the basic reproduction ratio R0 in models for infectious diseases in heterogeneous populations, J. Math. Biol., 28 (1990), 365–382. https://doi.org/10.1007/BF00178324 doi: 10.1007/BF00178324
    [19] C. V. D. León, Constructions of lyapunov functions for classics SIS, SIR and SIRS epidemic model with variable population size, Foro. Red. Mat., 26 (2009), 1–12.
    [20] S. Eikenberry, M. Mancuso, E. Iboi, T. Phan, K. Eikenberry, Y. Kuang, et al., To mask or not to mask: Modeling the potential for face mask use by the general public to curtail the COVID-19 pandemic, Infec. Dis. Model., 5 (2020), 293–308. https://doi.org/10.1016/j.idm.2020.04.001 doi: 10.1016/j.idm.2020.04.001
    [21] Imperial College London, Report 9: Impact of Non-pharmaceutical interventions (Npis) to reduce COVID19 mortality and healthcare demand, 2020. Available from: http://hdl.handle.net/10044/1/77482.
    [22] J. Bernal, N. Andrews, C. Gower, E. Gallagher, R. Simmons, S. Thelwall, et al., Effectiveness of COVID-19 vaccines against the B.1.617.2 (Delta) variant, N. Engl. J. Med., 385 (2021), 585–594. https://doi.org/10.1056/NEJMoa2108891 doi: 10.1056/NEJMoa2108891
    [23] B. Tang, X. Wang, Q. Li, N. L. Bragazzi, S. Tang, Y. Xiao, et al., Estimation of the transmission risk of the 2019-nCoV and its implication for public health interventions, J. Clin. Med., 9 (2020), 462. https://doi.org/10.3390/jcm9020462 doi: 10.3390/jcm9020462
    [24] F. Zhou, T. Yu, R. Du, G. Fan, Y. Liu, Z. Liu, et al., Clinical course and risk factors for mortality of adult inpatients with COVID-19 in Wuhan, China: A retrospective cohort study, Lancet, 395 (2020), 1054–1062. https://doi.org/10.1016/S0140-6736(20)30566-3 doi: 10.1016/S0140-6736(20)30566-3
    [25] H. A. Rothan, S. N. Byrareddy, The epidemiology and pathogenesis of coronavirus disease (COVID-19) outbreak, J. Autoimmun., 109 (2020), 102433. https://doi.org/10.1016/j.jaut.2020.102433 doi: 10.1016/j.jaut.2020.102433
    [26] Imperial College COVID-19 Response Team, Impact of Non-Pharmaceutical Interventions (NPIs) to reduce COVID-19 mortality and healthcare demand, 2020. Available from: http://hdl.handle.net/10044/1/77482.
    [27] DDC Open Date, Center of disease control, Thailand, 2021. Available from: https://covid19.ddc.moph.go.th/en.
    [28] Live COVID-19 Vaccination Tracker, Number of people who received the COVID-19 vaccine, 2021. Available from: https://www.mhesi.go.th/index.php/content-page/item/3547-share-of-people-who-received-at-least-one-dose-of-covid-19-vaccine.html.
    [29] The New York Times, Tracking coronavirus vaccinations around the world, 2022. Available from: https://www.nytimes.com/interactive/2021/world/covid-vaccinations-tracker.html.
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  • © 2023 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)
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