Multi-objective Design with a Stochastic Validation of Vaccination Campaigns*

Cruz, Andre Rodrigues da; Cardoso, Rodrigo T. N.; Takahashi, Ricardo H. C.

doi:10.3182/20090506-3-sf-4003.00053

Cited by 8 publications

(7 citation statements)

References 7 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…After the vaccines are put into use, the impact of vaccination is considered in Model II. Continuous and impulsive vaccination have been proposed among previous papers. − The strategy of continuous vaccination, in which the susceptible population is vaccinated at a continuous immunization rate δ, is not realistic since the population is vaccinated only at discrete time points . Therefore, a form of impulsive vaccination is considered and the new optimization Model III is established as following.…”

Section: Optimization Of Control Measuresmentioning

confidence: 99%

Modeling and Control of COVID-19 Transmission from a Perspective of Polymerization Reaction Dynamics

Zhang

Liao

Sun

et al. 2021

Ind. Eng. Chem. Res.

View full text Add to dashboard Cite

Due to the serious economic losses and deaths caused by COVID-19, the modeling and control of such a pandemic has become a hot research topic. This paper finds an analogy between a polymerization reaction and COVID-19 transmission dynamics, which will provide a novel perspective to optimal control measures. Susceptible individuals, exposed people, infected cases, recovered population, and the dead can be assumed to be specific molecules in the polymerization system. In this paper, a hypothetical polymerization reactor is constructed to describe the transmission of an epidemic, and its kinetic parameters are regressed by the least-squares method. The intensity of social distancing u is considered to the mixing degree of the reaction system, and contact tracing and isolation ρ can be regarded as an external circulation in the main reactor to reduce the concentration of active species. Through these analogies, this model can predict the peak infection, deaths, and end time of the epidemic under different control measures to support the decision-making process. Without any measures (u = 1.0 and ρ = 0), more than 90% of the population would be infected. It takes several years to complete herd immunity by nonpharmacological intervention when the proportion of deaths is limited to less than 5%. However, vaccination can reduce the time to tens to hundreds of days, which is related to the maximum number of vaccines per day.

show abstract

Section: Optimization Of Control Measuresmentioning

confidence: 99%

Modeling and Control of COVID-19 Transmission from a Perspective of Polymerization Reaction Dynamics

Zhang

Liao

Sun

et al. 2021

Ind. Eng. Chem. Res.

View full text Add to dashboard Cite

show abstract

“…and actually, the stability is determined by the second and third equations of system (8). For the stability, the parameters need to satisfy the following inequality:…”

Section: Proof For System (1) It Follows Thatmentioning

confidence: 99%

“…In [25], the scheduling problem of different vaccination strategies can be formulated as an unconstrained optimal control problem and solved by dynamic programming. An ingenious work that applies multi-objective minimization to address the multiple impulsive vaccination scheduling problem can be seen in [8].…”

mentioning

confidence: 99%

Dynamic behavior and optimal scheduling for mixed vaccination strategy with temporary immunity

Liu¹,

Yang²,

Bi³

et al. 2019

Discrete &Amp; Continuous Dynamical Systems - B

View full text Add to dashboard Cite

This paper presents an SEIRVS epidemic model with different vaccination strategies to investigate the elimination of the chronic disease. The mixed vaccination strategy, a combination of constant vaccination and pulse vaccination, is a future development tendency of disease control. Theoretical analysis and threshold conditions for eradicating the disease are given. Then we propose an optimal control problem and solve the optimal scheduling of the mixed vaccination strategy through the combined multiple shooting and collocation (CMSC) method. Theoretical results and numerical simulations can help to design the final mixed vaccination strategy for the optimal control of the chronic disease once the new vaccine comes into use.

show abstract

“…In a decision process, this can help to choose the specific policy to be implemented. Reference [11] proposed a multiobjective optimization approach, minimizing both the infected individuals and the cost with vaccination. The nondominated solutions are validated in an Individual Based Model (IBM) to study a set of interval of confidence for each optimal policy strategy.…”

Section: Introductionmentioning

confidence: 99%

Optimal Vaccination Campaigns Using Stochastic SIR Model and Multiobjective Impulsive Control

Cardoso

Dusse²,

Adam³

2021

TCAM

View full text Add to dashboard Cite

A multiobjective impulsive control scheme is proposed to give answers on how optimal vaccination campaigns should be implemented, regarding two conflicting targets: making the total number of infecteds small and the vaccination campaign as handy as possible. In this paper, a stochastic SIR model is used to better depict the characteristics of a disease in practical terms, where little influences may lead to sudden and unpredictable changes in the behavior of transmissions. This model is extended to analyze the effects of impulsive vaccinations in two phases: the transient regime control, taking into account the necessity to reduce the number of infected individuals to an acceptable level in a finite time, and the permanent regime control, that will act with fixed vaccinations to avoid another outbreak. A parallel version of NSGA-II is used as the multiobjective optimization machinery, considering both the probability of eradication and the vaccination campaign costs. The final result using the proposed framework nondominated policies that can guide for public managers to decide which is the best procedure to be taken depending on the present situation.

show abstract

Multi-objective Design with a Stochastic Validation of Vaccination Campaigns*

Cited by 8 publications

References 7 publications

Modeling and Control of COVID-19 Transmission from a Perspective of Polymerization Reaction Dynamics

Modeling and Control of COVID-19 Transmission from a Perspective of Polymerization Reaction Dynamics

Dynamic behavior and optimal scheduling for mixed vaccination strategy with temporary immunity

Optimal Vaccination Campaigns Using Stochastic SIR Model and Multiobjective Impulsive Control

Contact Info

Product

Resources

About