Sequential allocation of vaccine to control an infectious disease

Rao, Isabelle J.; Brandeau, Margaret L.

doi:10.1016/j.mbs.2022.108879

Cited by 5 publications

(5 citation statements)

References 35 publications

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“…(2020) SIR

Mak et al. (2022) Heterogeneous SEIR

Makris (2021) Heterogeneous SIR

Piguillem & Shi (2022) SEIR

Both Rao, Brandeau, 2021 , Rao, Brandeau, 2022 Heterogeneous SIR

…”

Section: Literature Reviewmentioning

confidence: 99%

“…For instance, Libotte, Lobato, Platt, & Silva Neto (2020) consider an optimal control model where the control is the vaccination rate and the objective is to minimize the number of infected individuals as well as the amount of vaccines used. Rao, Brandeau, 2021 , Rao, Brandeau, 2022 include heterogeneous agents and additional objectives such as minimizing deaths or the quality-adjusted life years lost. Federico, Ferrari, & Torrente (2022) solve an optimal vaccination problem in which immunized individuals can become susceptible.…”

Section: Literature Reviewmentioning

confidence: 99%

“…(2022) , Federico et al. (2022) ; Rao, Brandeau, 2021 , Rao, Brandeau, 2022 , nor Libotte et al. (2020) deal with whether vaccination should replace or complement a lockdown.…”

Section: Literature Reviewmentioning

confidence: 99%

See 2 more Smart Citations

The hammer and the jab: Are COVID-19 lockdowns and vaccinations complements or substitutes?

Caulkins

Grass

Feichtinger³

et al. 2023

European Journal of Operational Research

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“…(2020) SIR

Mak et al. (2022) Heterogeneous SEIR

Makris (2021) Heterogeneous SIR

Piguillem & Shi (2022) SEIR

Both Rao, Brandeau, 2021 , Rao, Brandeau, 2022 Heterogeneous SIR

…”

Section: Literature Reviewmentioning

confidence: 99%

Section: Literature Reviewmentioning

confidence: 99%

See 1 more Smart Citation

The hammer and the jab: Are COVID-19 lockdowns and vaccinations complements or substitutes?

Caulkins

Grass

Feichtinger³

et al. 2023

European Journal of Operational Research

View full text Add to dashboard Cite

“…The same authors apply their generalized SIR model to minimize the effective reproduction number during vaccine allocation [23]. They further simplify the vaccine allocation problem using the Taylor series to derive analytic solutions to ease decision-making [24].…”

Section: Introductionmentioning

confidence: 99%

“…Thus, it is a convenient tool to assist in vaccine allocation, where vaccines' effectiveness in controlling the virus' spread needs to be modeled. The extended SIR model in [22,24] is extremely helpful in explaining the virus infection and vaccine effectiveness between different age groups. However, these SIR models do not consider the time needed to complete multi-dose vaccines, the time duration from infection to recovery or death, and assume vaccines will take effect while ignoring the fluctuation of efficacy rates over time and potential breakthroughs.…”

Section: Introductionmentioning

confidence: 99%

An Optimal Vaccine Allocation Model Considering Vaccine Hesitancy and Efficacy Rates Among Populations

Zhang¹

2023

IEEE Access

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Vaccines need to be urgently allocated in pandemics like the ongoing COVID-19 pandemic. In the literature, vaccines are optimally allocated using various mathematical models, including the extensively used Susceptible-Infected-Recovered epidemic model. However, these models do not account for the time duration concerning multi-dose vaccines, time duration from infection to recovery or death, the vaccine hesitancy (i.e., delay in acceptance or refusal of vaccination), and vaccine efficacy (i.e., the time-varying protection capability of the vaccine). To make the vaccine allocation model more applicable to reality, this paper presents an optimal model considering the above mentioned time duration concerning multi-dose vaccination, time duration from infection to recovery or death, hesitancy rates, efficacy levels, and also breakthrough rates-the rates at which individuals get infected after vaccination. This vaccine allocation model is constructed using a revised Susceptible-Infected-Recovered model. The concept of people*week infections is introduced to measure the number of infected people within a certain time duration, and in this paper, the amount of people*week infections is minimized by the proposed vaccine allocation model. Our case study of the New York State 2021 population of 19,840,000 shows that this optimal allocation method can avoid 0.05%~2.75% people*week infections than the baseline allocation method when 2 to 11 million vaccines are optimally allocated. In conclusion, the obtained optimal allocation method can effectively reduce people*week infections and avoid vaccine waste when more vaccines are available.

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Vaccination for communicable endemic diseases: optimal allocation of initial and booster vaccine doses

Rao,

Brandeau

2024

J. Math. Biol.

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Sequential allocation of vaccine to control an infectious disease

Cited by 5 publications

References 35 publications

The hammer and the jab: Are COVID-19 lockdowns and vaccinations complements or substitutes?

The hammer and the jab: Are COVID-19 lockdowns and vaccinations complements or substitutes?

An Optimal Vaccine Allocation Model Considering Vaccine Hesitancy and Efficacy Rates Among Populations

Vaccination for communicable endemic diseases: optimal allocation of initial and booster vaccine doses

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