Original Research Article

Article volume = 2023 and issue = 1

Pages: 20–28

Article publication Date: November 21, 2022

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Identifying Long-Term Optimal Vaccination Strategies for Mitigating a Pandemic: a Computational Modeling approach using COVID-19 data in Sri Lanka

K.K.W.H. Erandi(a∗), A.C. Mahasinghe(a), N.C. Ganegoda(b), S.S.N. Perera(a), and S. Jayasinghe(c)

(a) Research & Development Centre for Mathematical Modeling, University of Colombo, Sri Lanka.

(b) Department of Mathematics, University of Sri Jayewardenepura, Sri Lanka.

(c) Department of Clinical Medicine, University of Colombo, Sri Lanka.

Abstract:

Infectious diseases with pandemic potential are having a devastating impact on global health and socioeconomic activities. A major and a primary strategy to control such pandemics that is used globally is the process of vaccination. However, the primary vaccination becomes less effective after several months for most infectious diseases. Therefore, for several years, repeated booster doses are necessary to enhance the immune response. The government policy of vaccine administration and public response to the vaccination procedure varies from country to country, depending on the incidence of the infected population, vaccine availability and types, age--related health risks, and prioritization by population density or mobility patterns. In this study, we propose an optimal control model for regional vaccination allocation based on age distribution and mobility patterns, with the goal of achieving a trade--off between vaccination costs and the economic burden caused by the infected population. We use a compartmental model to capture the transmission dynamics, write an optimal control equation and examine the validity using computer simulations generated for COVID-19 related data in Sri Lanka.

Keywords:

Optimal control, Pandemic, Vaccination, Epidemic Models.

References:
  • [1] P. Bosetti, C.T. Kiem, A. Andronico, J. Paireau, D. Levy-Bruhl, L. Alter, A. Fontanet and S. Cauchemez, Impact of booster vaccination on the control of COVID-19 Delta wave in the context of waning immunity: application to France in the winter 2021/22. Eurosurveillance, 27(1) (2022), p.2101125. 1
  • [2] O. Delardas, K.S. Kechagias, P.N. Pontikos and P. Giannos, Socio-Economic Impacts and Challenges of the Coronavirus Pandemic (COVID-19): An Updated Review, Sustainability, 14(15), (2022), p.9699. 1
  • [3] K.K.W.H. Erandi, A.C. Mahasinghe, S.S.N. Perera and S. Jayasinghe, Effectiveness of the strategies implemented in Sri Lanka for controlling the COVID-19 outbreak, Journal of Applied Mathematics, 2020 (2020). 1
  • [4] R.J. Fisk, Barriers to vaccination for coronavirus disease 2019 (COVID-19) control: experience from the United States, Global Health Journal, 5(1) (2021), 51–55. 1
  • [5] A. Giubilini, J. Savulescu and D. Wilkinson, COVID-19 vaccine: vaccinate the young to protect the old?, Journal of Law and the Biosciences, 7(1) (2020), p.lsaa050. 1
  • [6] J.H. Kim, F. Marks and J.D. Clemens Looking beyond COVID-19 vaccine phase 3 trials, Nature medicine, 27(2) (2021) ,205–211. 1
  • [7] A.C. Mahasinghe, S.S.N. Perera and K.K.W.H Erandi, Optimal Resource Allocation in Controlling Infectious Diseases. Mathematical Methods in Interdisciplinary Sciences, John Wiley & Sons, Ltd (2020), 369–389. 1
  • [8] A.C. Mahasinghe, K.K.W.H. Erandi and S.S.N. Perera, An optimal lockdown relaxation strategy for minimizing the economic effects of COVID–19 outbreak, International Journal of Mathematics and Mathematical Sciences, 2021, (2021). 1
  • [9] W.C. Roda, M.B. Varughese, D. Han and M.Y. Li, Why is it difficult to accurately predict the COVID-19 epidemic?, Infectious disease modelling, 5 (2020), 271–281. 2
  • [10] Schmidt, H., Pathak, P., Sönmez, T. and Ünver, M.U., Covid-19: how to prioritize worse-off populations in allocating safe and effective vaccines, British medical journal, (2020), 371. 1
  • [11] Weiss, R.A. and McMichael, A.J., Social and environmental risk factors in the emergence of infectious diseases, Nature Medicine, 10(12), (2004), S70–S76. 1
Cite this article as:
  • K.K.W.H. Erandi, A.C. Mahasinghe, N.C. Ganegoda, S.S.N. Perera, and S. Jayasinghe, Identifying Long-Term Optimal Vaccination Strategies for Mitigating a Pandemic: a Computational Modeling approach using COVID-19 data in Sri Lanka, Communications in Combinatorics, Cryptography & Computer Science, 2023(1), PP.20–28, 2022
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