The Role of Behavioral Compliance to Non-Pharmaceutical and Pharmaceutical Interventions in the Fight Against COVID-19: Insights From a Behavior-Disease Economic Epidemic Model Coupled With Optimal Control Theory

2021 ◽  
Author(s):  
Wisdom Avusuglo ◽  
Nicola Luigi Bragazzi ◽  
Ali Asgary ◽  
James Orbinski ◽  
Jianhong Wu ◽  
...  
Keyword(s):  
Optimal Control ◽  
Control Theory ◽  
Epidemic Model ◽  
Optimal Control Theory ◽  
Behavioral Compliance ◽  
Pharmaceutical Interventions

scholarly journals An Optimal Control for a Two-Dimensional Spatiotemporal SEIR Epidemic Model

2020 ◽  
Vol 2020 ◽  
pp. 1-15
Author(s):  
Khalid Adnaoui ◽  
Adil El Alami Laaroussi
Keyword(s):  
Differential Equation ◽  
Partial Differential Equation ◽  
Optimal Control ◽  
Control Theory ◽  
Epidemic Model ◽  
Optimal Control Theory ◽  
State Function ◽  
Two Dimensional ◽  
The Cost

In this paper, we present an application of optimal control theory on a two-dimensional spatial-temporal SEIR (susceptible, exposed, infected, and restored) epidemic model, in the form of a partial differential equation. Our goal is to minimize the number of susceptible and infected individuals and to maximize recovered individuals by reducing the cost of vaccination. In addition, the existence of the optimal control and solution of the state system is proven. The characterization of the control is given in terms of state function and adjoint. Numerical results are provided to illustrate the effectiveness of our adopted approach.

scholarly journals Optimal Control of an ”SIR” Epidemic Model in a Chemostat Using Some Suitable Protein Doses

2019 ◽  
pp. 1-15 ◽  
Author(s):  
Miled El Hajji
Keyword(s):  
Optimal Control ◽  
Control Theory ◽  
Numerical Simulations ◽  
Epidemic Model ◽  
Optimal Control Theory ◽  
Total Population ◽  
Disease Outbreak ◽  
Sir Epidemic Model ◽  
Sir Epidemic ◽  
The Cost

A modified ”SIR” epidemic model is proposed taking into account of suitable protein doses thatare applied on the total population as a control to manage a disease outbreak when treatments arenot available. The proteins cause a change in behavior resulting in three susceptible classes. Thestability analysis is studied and the optimal control theory is applied to the system of differentialequations to achieve the goal of minimizing the infected population (while minimizing the cost).Some numerical simulations are given in order to illustrate the obtained results.

Dispersion of nanoparticles with optimal control theory based on destabilization

2014 ◽  
Vol 2 ◽  
pp. 86-86
Author(s):  
Miki U. Kobayashi ◽  
Nobuaki Aoki ◽  
Noriyoshi Manabe ◽  
Tadafumi Adschiri
Keyword(s):  
Optimal Control ◽  
Control Theory ◽  
Optimal Control Theory ◽  
Dispersion Of Nanoparticles

scholarly journals Recoil control of deepwater drilling riser system based on optimal control theory

2020 ◽  
pp. 108473
Author(s):  
Xiuquan Liu ◽  
Zhaowei Liu ◽  
Xianglei Wang ◽  
Nan Zhang ◽  
Na Qiu ◽  
...  
Keyword(s):  
Optimal Control ◽  
Control Theory ◽  
Optimal Control Theory ◽  
Deepwater Drilling

scholarly journals Optimal Control for a COVID-19 Model Accounting for Symptomatic and Asymptomatic

2020 ◽  
Vol 8 (1) ◽  
pp. 168-179
Author(s):  
Jead M. Macalisang ◽  
Mark L. Caay ◽  
Jayrold P. Arcede ◽  
Randy L. Caga-anan
Keyword(s):  
Optimal Control ◽  
Control Theory ◽  
Medical Care ◽  
Optimal Control Theory ◽  
Comparable Result ◽  
Type Model ◽  
Hospital Beds ◽  
Transmission Reduction ◽  
Bed Capacity ◽  
The Government

AbstractBuilding on an SEIR-type model of COVID-19 where the infecteds are further divided into symptomatic and asymptomatic, a system incorporating the various possible interventions is formulated. Interventions, also referred to as controls, include transmission reduction (e.g., lockdown, social distancing, barrier gestures); testing/isolation on the exposed, symptomatic and asymptomatic compartments; and medical controls such as enhancing patients’ medical care and increasing bed capacity. By considering the government’s capacity, the best strategies for implementing the controls were obtained using optimal control theory. Results show that, if all the controls are to be used, the more able the government is, the more it should implement transmission reduction, testing, and enhancing patients’ medical care without increasing hospital beds. However, if the government finds it very difficult to implement the controls for economic reasons, the best approach is to increase the hospital beds. Moreover, among the testing/isolation controls, testing/isolation in the exposed compartment is the least needed when there is significant transmission reduction control. Surprisingly, when there is no transmission reduction control, testing/isolation in the exposed should be optimal. Testing/isolation in the exposed could seemingly replace the transmission reduction control to yield a comparable result to that when the transmission reduction control is being implemented.

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