About: A multi-region discrete time mathematical modeling of the dynamics of Covid-19 virus propagation using optimal control

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About: A multi-region discrete time mathematical modeling of the dynamics of Covid-19 virus propagation using optimal control Goto Sponge NotDistinct Permalink

An Entity of Type : schema:ScholarlyArticle, within Data Space : covidontheweb.inria.fr associated with source document(s)

Attributes	Values
type	Academic Article research paper schema:ScholarlyArticle
isDefinedBy	Covid-on-the-Web dataset
has title	A multi-region discrete time mathematical modeling of the dynamics of Covid-19 virus propagation using optimal control
Creator	Rachik, Mostafa Balatif, · Driss Kada, · Khajji, Bouchaib
Source	Medline; PMC
abstract	We study in this work a discrete mathematical model that describes the dynamics of transmission of the Corona virus between humans on the one hand and animals on the other hand in a region or in different regions. Also, we propose an optimal strategy to implement the optimal campaigns through the use of awareness campaigns in region j that aims at protecting individuals from being infected by the virus, security campaigns and health measures to prevent the movement of individuals from one region to another, encouraging the individuals to join quarantine centers and the disposal of infected animals. The aim is to maximize the number of individuals subjected to quarantine and trying to reduce the number of the infected individuals and the infected animals. Pontryagin’s maximum principle in discrete time is used to characterize the optimal controls and the optimality system is solved by an iterative method. The numerical simulation is carried out using Matlab. The Incremental Cost-Effectiveness Ratio was calculated to investigate the cost-effectiveness of all possible combinations of the four control measures. Using cost-effectiveness analysis, we show that control of protecting susceptible individuals, preventing their contact with the infected individuals and encouraging the exposed individuals to join quarantine centers provides the most cost-effective strategy to control the disease.
has issue date	2020-05-08(xsd:dateTime)
bibo:doi	10.1007/s12190-020-01354-3
bibo:pmid	32390786
has license	no-cc
sha1sum (hex)	9f1421f795084d05cda18dcd08dc9bec99fac178
schema:url	https://doi.org/10.1007/s12190-020-01354-3
resource representing a document's title	A multi-region discrete time mathematical modeling of the dynamics of Covid-19 virus propagation using optimal control
has PubMed Central identifier	PMC7205920
has PubMed identifier	32390786
schema:publication	J Appl Math Comput
resource representing a document's body	covid:9f1421f795084d05cda18dcd08dc9bec99fac178#body_text
is schema:about of	named entity 'cost-effectiveness' named entity 'discrete time' named entity 'Incremental Cost-Effectiveness Ratio' named entity 'numerical simulation' named entity 'cost-effective' named entity 'optimal control' named entity 'discrete time' named entity 'ICER' named entity 'pathogenic viruses' named entity 'quarantine' named entity 'CORONA virus' named entity 'Jiujiang' named entity 'Yingcheng' named entity 'virus' named entity 'quarantine' named entity 'virus' named entity 'washing hands' named entity 'virus' named entity 'virus' named entity 'basic reproduction number' named entity 'World Health Organization' named entity 'respiratory symptoms' named entity 'World Health Organization' named entity 'cough' named entity 'Korea' named entity 'region 1' named entity 'China' named entity 'Corona Virus' named entity 'cost-effectiveness analysis' named entity 'Xinyang' named entity 'shortness of breath' named entity 'Suizhou' named entity 'region 1' named entity 'vaccination' named entity 'discrete time' named entity 'region1' named entity 'quarantine' named entity 'region1' named entity 'state variable' named entity 'animals to humans' named entity 'Germany' named entity 'boundary conditions' named entity 'Cost-effectiveness Analysis' named entity 'basic reproduction number' named entity 'mathematical model' named entity 'coughing' named entity 'quarantine' named entity 'kidney failure' named entity 'death rate' named entity 'ith' named entity 'Wuhan' named entity 'personal hygiene' named entity 'human population' named entity 'Japan' named entity 'region 1' named entity 'China' named entity 'discrete time' named entity 'virus' named entity 'Corona virus' named entity 'ICER' named entity 'virus' named entity 'China' named entity 'Kingdom of Saudi Arabia' named entity 'transmission rate' named entity 'preventive measures' named entity 'corona virus' named entity 'mathematical model' named entity 'fever' named entity 'quarantine' named entity 'Pontryagin's maximum principle' named entity 'discrete-time' named entity 'clinical features' named entity 'difficulty breathing' named entity 'Malaysia' named entity 'Figure 8' named entity 'quarantine' named entity 'China' named entity 'asymptotically stable'

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