Optimal control in epidemiology

Sharomi, Oluwaseun; Malik, Tufail

doi:10.1007/s10479-015-1834-4

Cited by 137 publications

(110 citation statements)

References 43 publications

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“…This optimizes the cost functional [ ( ), ( )] using Pontryagin's maximum principle [43]. Therefore we set the following likelihood control strategies:…”

Section: Objective Functionalmentioning

confidence: 99%

Modelling of Rabies Transmission Dynamics Using Optimal Control Analysis

Asamoah

Oduro

Bonyah

et al. 2017

Journal of Applied Mathematics

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We examine an optimal way of eradicating rabies transmission from dogs into the human population, using preexposure prophylaxis (vaccination) and postexposure prophylaxis (treatment) due to public education. We obtain the disease-free equilibrium, the endemic equilibrium, the stability, and the sensitivity analysis of the optimal control model. Using the Latin hypercube sampling (LHS), the forward-backward sweep scheme and the fourth-order Range-Kutta numerical method predict that the global alliance for rabies control's aim of working to eliminate deaths from canine rabies by 2030 is attainable through mass vaccination of susceptible dogs and continuous use of pre-and postexposure prophylaxis in humans.

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“…This optimizes the cost functional [ ( ), ( )] using Pontryagin's maximum principle [43]. Therefore we set the following likelihood control strategies:…”

Section: Objective Functionalmentioning

confidence: 99%

Modelling of Rabies Transmission Dynamics Using Optimal Control Analysis

Asamoah

Oduro

Bonyah

et al. 2017

Journal of Applied Mathematics

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“…Little is known about the best policy to employ scarce resources for disease control when epidemics occur in a specific region. In such context, optimal control is an usual tool to address this problem . In the dengue fever context, optimal control theory is also considered using different dengue models .…”

Section: Introductionmentioning

confidence: 99%

“…In such context, optimal control is an usual tool to address this problem. [3][4][5][6][7][8][9] In the dengue fever context, optimal control theory is also considered using different dengue models. 10,11 Broadly, different control strategies to reduce the spread of dengue disease are used, and the optimal control for nonlinear systems is an alternative.…”

mentioning

confidence: 99%

A receding horizon control approach for integrated vector management of Aedes aegypti using chemical and biological control: A mono and a multiobjective approach

Jesus

Wanner

Cardoso

2019

Math Methods in App Sciences

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This paper addresses an integrated vector management (IVM) approach for combating Aedes aegypti, the transmission vector of dengue, zika, and chikungunya diseases, some of the most important viral epidemics worldwide. In order to tackle this problem, a receding horizon control (RHC) strategy is adopted, considering a mono‐objective and a multiobjective version of the optimal control model of combating the mosquito using chemical and biological control. RHC is essentially a suboptimal scheme of classical optimal control strategies considering discrete‐time approximations. The integrated vector control actions used in this work consist in applying insecticides and inserting sterile males produced by irradiation in the population of mosquitoes. The cost function is defined in terms of social and economic costs, in order to quantify the effectiveness of the proposed epidemiological control throughout a time window of 4 months. Numerical simulations show that the obtained results are better than those from the optimal control strategies found in literature. Furthermore, through the application of the multiobjetive approach, varying the scenarios in the mono‐objective formulation is no longer necessary and a set of optimal strategies can be obtained at once. Finally, in order to help health authorities in the choice of the best solution of the Pareto‐optimal set to be implemented in practice, a cost‐effectiveness analysis is performed and a strategy representing the most cost‐effective control policy is obtained.

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“…Modelling tool plays a big role in epidemiology by providing a concrete mechanism for understanding spreads of the disease and suggesting effective control measures [8]. The intervention programmes are used in planning, implementing, evaluating, prevention, therapy and control measures [23]. The eradication of disease in the environment does not only depend on medical issues, but also on the ability of understanding the transmission dynamics of a particular disease and the application of the optimal control strategies and the implementation of logistic policies [8].…”

Section: Introductionmentioning

confidence: 99%

Optimal control and cost effectiveness analysis for Newcastle disease eco-epidemiological model in Tanzania

Hugo

Makinde

Kumar

et al. 2016

Journal of Biological Dynamics

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In this paper, a deterministic compartmental eco-epidemiological model with optimal control of Newcastle disease (ND) in Tanzania is proposed and analysed. Necessary conditions of optimal control problem were rigorously analysed using Pontryagin's maximum principle and the numerical values of model parameters were estimated using maximum likelihood estimator. Three control strategies were incorporated such as chicken vaccination (preventive), human education campaign and treatment of infected human (curative) and its' impact were graphically observed. The incremental cost effectiveness analysis technique used to determine the most cost effectiveness strategy and we observe that combination of chicken vaccination and human education campaign strategy is the best strategy to implement in limited resources. Therefore, ND can be controlled if the farmers will apply chicken vaccination properly and well in time. ARTICLE HISTORY

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Optimal control in epidemiology

Cited by 137 publications

References 43 publications

Modelling of Rabies Transmission Dynamics Using Optimal Control Analysis

Modelling of Rabies Transmission Dynamics Using Optimal Control Analysis

A receding horizon control approach for integrated vector management of Aedes aegypti using chemical and biological control: A mono and a multiobjective approach

Optimal control and cost effectiveness analysis for Newcastle disease eco-epidemiological model in Tanzania

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