A multi-level algorithm for the finite horizon LQ optimal control problem with assigned final state: additive and multiplicative procedures

2006 ◽  
Author(s):  
E. Zattoni
Keyword(s):  
Optimal Control ◽  
Optimal Control Problem ◽  
Control Problem ◽  
Finite Horizon ◽  
Final State ◽  
Lq Optimal Control ◽  
Multi Level

scholarly journals Optimal control problem on COVID-19 disease transmission model considering medical mask, disinfectants and media campaign

2020 ◽  
Vol 202 ◽  
pp. 12009
Author(s):  
Dipo Aldila
Keyword(s):  
Optimal Control ◽  
Optimal Control Problem ◽  
Control Problem ◽  
Disease Transmission ◽  
Control Strategies ◽  
Population Based ◽  
Transmission Model ◽  
Media Campaign ◽  
Free Virus ◽  
Final State

In this paper, a system of ordinary differential equation approach is developed to understand the spread of COVID-19. We first formulate the dynamic model by dividing the human population based on their health status, awareness status, and also including the free virus on the environment. We provide a basic analysis of the model regarding the well-posed properties and how the basic reproduction number can be used to determine the final state of COVID-19 in the population. A Pontryagin Maximum’s Principle used to construct the model as an optimal control problem in a purpose to determine the most effective strategies against the spread of COVID-19. Three control strategies involved in the model, such as media campaign to develop an awareness of individuals, medical masks to prevent direct transmission, and use of disinfectant to reduce the number of free virus in the environment. Through numerical simulations, we find that the time-dependent control succeeds in reducing the outbreak of COVID-19. Furthermore, if the intervention should be implemented as a single intervention, then the media campaign gives the most effective cost strategy.

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