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An Optimal Lockdown Relaxation Strategy for Minimizing the Economic Effects of COVID‐19 Outbreak

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  • A. C. Mahasinghe
  • K. K. W. H. Erandi
  • S. S. N. Perera

Abstract

In order to recover the damage to the economy by the ongoing COVID‐19 pandemic, many countries consider the transition from strict lockdowns to partial lockdowns through relaxation of preventive measures. In this work, we propose an optimal lockdown relaxation strategy, which is aimed at minimizing the damage to the economy, while confining the COVID‐19 incidence to a level endurable by the available healthcare facilities in the country. In order to capture the transmission dynamics, we adopt the compartment models and develop the relevant optimization model, which turns out to be nonlinear. We generate approximate solutions to the problem, whereas our experimentation is based on the data on the COVID‐19 outbreak in Sri Lanka.

Suggested Citation

  • A. C. Mahasinghe & K. K. W. H. Erandi & S. S. N. Perera, 2021. "An Optimal Lockdown Relaxation Strategy for Minimizing the Economic Effects of COVID‐19 Outbreak," International Journal of Mathematics and Mathematical Sciences, John Wiley & Sons, vol. 2021(1).
    • Handle: RePEc:wly:jijmms:v:2021:y:2021:i:1:n:6684271
    DOI: 10.1155/2021/6684271
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    References listed on IDEAS

    as
    1. K. K. W. H. Erandi & A. C. Mahasinghe & S. S. N. Perera & S. Jayasinghe, 2020. "Effectiveness of the Strategies Implemented in Sri Lanka for Controlling the COVID‐19 Outbreak," Journal of Applied Mathematics, John Wiley & Sons, vol. 2020(1).
    2. K. K. W. H. Erandi & A. C. Mahasinghe & S. S. N. Perera & S. Jayasinghe, 2020. "Effectiveness of the Strategies Implemented in Sri Lanka for Controlling the COVID-19 Outbreak," Journal of Applied Mathematics, Hindawi, vol. 2020, pages 1-10, September.
    3. Arndt, Channing & Davies, Rob & Gabriel, Sherwin & Harris, Laurence & Makrelov, Konstantin & Robinson, Sherman & Levy, Stephanie & Simbanegavi, Witness & van Seventer, Dirk & Anderson, Lillian, 2020. "Covid-19 lockdowns, income distribution, and food security: an analysis for South Africa," LSE Research Online Documents on Economics 105814, London School of Economics and Political Science, LSE Library.
    4. Wayne Thomas & Leroy Blakeslee & LeRoy Rogers & Norman Whittlesey, 1972. "Separable Programming for Considering Risk in Farm Planning," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 54(2), pages 260-266.
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