2021
DOI: 10.1016/j.mbs.2021.108654
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Optimal allocation of limited vaccine to minimize the effective reproduction number

Abstract: We examine the problem of allocating a limited supply of vaccine for controlling an infectious disease with the goal of minimizing the effective reproduction number . We consider an SIR model with two interacting populations and develop an analytical expression that the optimal vaccine allocation must satisfy. With limited vaccine supplies, we find that an all-or-nothing approach is optimal. For certain special cases, we determine the conditions under which the optimal is below 1. W… Show more

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Cited by 14 publications
(9 citation statements)
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References 24 publications
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“…Bertsimas et al proposed a model that combines DELPHI epidemiological model with a bilinear, non-convex optimization to minimize exposure, mortality, and distance between vaccination centers and population centers [60]. Rao et al present an analytical model for vaccine allocation with the aim of minimizing the effective reproduction number [61]. Shim et al learn the parameters of the age-structured model of COVID-19 spread in South Korea to design vaccine deployment policies such that infections, deaths could be mitigated, given the parameters of age distribution and social contact [62], while Meehan et al [63] and Buckner et al [64] use the age-structured model and epidemiological model, respectively, to suss out high-priority individuals to be vaccinated based on their contact rates and risk of infection.…”
Section: Optimization Formulationmentioning
confidence: 99%
See 2 more Smart Citations
“…Bertsimas et al proposed a model that combines DELPHI epidemiological model with a bilinear, non-convex optimization to minimize exposure, mortality, and distance between vaccination centers and population centers [60]. Rao et al present an analytical model for vaccine allocation with the aim of minimizing the effective reproduction number [61]. Shim et al learn the parameters of the age-structured model of COVID-19 spread in South Korea to design vaccine deployment policies such that infections, deaths could be mitigated, given the parameters of age distribution and social contact [62], while Meehan et al [63] and Buckner et al [64] use the age-structured model and epidemiological model, respectively, to suss out high-priority individuals to be vaccinated based on their contact rates and risk of infection.…”
Section: Optimization Formulationmentioning
confidence: 99%
“…The module may distribute vaccines based on the disease transmissibility, gauged in terms of reproduction number (see Sec. 2.2), among the zonal population [61]. The proportion of the elderly individuals with comorbidities may be a determinant of vaccine distribution [63].…”
Section: Details Of Intelligent Computation Modulesmentioning
confidence: 99%
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“…(1) * = 0 with * ∈ {H, S, W, O} in eq. (11). However, second level interventions with face masks and distancing are in place, and we assume a reduced contact rate by r…”
Section: Mitigation and Opening Strategiesmentioning
confidence: 99%
“…In the context of the SARS-CoV-2 pandemic, ODE-SIR-type models with focus on vaccination were used by [ 11 , 12 ] while [ 13 ] focused on hospitalization and ICU demands. The authors of [ 14 , 15 ] considered similar models with an additional differentiation of confirmed and unconfirmed infections.…”
Section: Introductionmentioning
confidence: 99%