On the Optimal Control of a Malware Propagation Model

An important way considered to control malware epidemic processes is to take into account security measures that are associated to the systems of ordinary differential equations that governs the dynamics of such systems. We can observe two types of control measures: the analysis of the basic reprodu...

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Main Authors:	Jose Diamantino Hernández Guillén, Ángel Martín del Rey, Roberto Casado Vara
Format:	Article
Language:	English
Published:	MDPI AG 2020-09-01
Series:	Mathematics
Subjects:	optimal control epidemic model malware propagation
Online Access:	https://www.mdpi.com/2227-7390/8/9/1518

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spelling	doaj-b22fffd112204e6a9a26ef3ba21442672020-11-25T03:20:09ZengMDPI AGMathematics2227-73902020-09-0181518151810.3390/math8091518On the Optimal Control of a Malware Propagation ModelJose Diamantino Hernández Guillén0Ángel Martín del Rey1Roberto Casado Vara2Department of Applied Mathematics, University of Salamanca, 37008 Salamanca, SpainDepartment of Applied Mathematics, Institute of Fundamental Physics and Mathematics, University of Salamanca, 37008 Salamanca, SpainBISITE Research Group, University of Salamanca, 37008 Salamanca, SpainAn important way considered to control malware epidemic processes is to take into account security measures that are associated to the systems of ordinary differential equations that governs the dynamics of such systems. We can observe two types of control measures: the analysis of the basic reproductive number and the study of control measure functions. The first one is taken at the beginning of the epidemic process and, therefore, we can consider this to be a prevention measure. The second one is taken during the epidemic process. In this work, we use the theory of optimal control that is associated to systems of ordinary equations in order to find a new function to control malware epidemic through time. Specifically, this approach is evaluate on a particular compartmental malware model that considers carrier devices.https://www.mdpi.com/2227-7390/8/9/1518optimal controlepidemic modelmalware propagation
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Jose Diamantino Hernández Guillén Ángel Martín del Rey Roberto Casado Vara
spellingShingle	Jose Diamantino Hernández Guillén Ángel Martín del Rey Roberto Casado Vara On the Optimal Control of a Malware Propagation Model Mathematics optimal control epidemic model malware propagation
author_facet	Jose Diamantino Hernández Guillén Ángel Martín del Rey Roberto Casado Vara
author_sort	Jose Diamantino Hernández Guillén
title	On the Optimal Control of a Malware Propagation Model
title_short	On the Optimal Control of a Malware Propagation Model
title_full	On the Optimal Control of a Malware Propagation Model
title_fullStr	On the Optimal Control of a Malware Propagation Model
title_full_unstemmed	On the Optimal Control of a Malware Propagation Model
title_sort	on the optimal control of a malware propagation model
publisher	MDPI AG
series	Mathematics
issn	2227-7390
publishDate	2020-09-01
description	An important way considered to control malware epidemic processes is to take into account security measures that are associated to the systems of ordinary differential equations that governs the dynamics of such systems. We can observe two types of control measures: the analysis of the basic reproductive number and the study of control measure functions. The first one is taken at the beginning of the epidemic process and, therefore, we can consider this to be a prevention measure. The second one is taken during the epidemic process. In this work, we use the theory of optimal control that is associated to systems of ordinary equations in order to find a new function to control malware epidemic through time. Specifically, this approach is evaluate on a particular compartmental malware model that considers carrier devices.
topic	optimal control epidemic model malware propagation
url	https://www.mdpi.com/2227-7390/8/9/1518
work_keys_str_mv	AT josediamantinohernandezguillen ontheoptimalcontrolofamalwarepropagationmodel AT angelmartindelrey ontheoptimalcontrolofamalwarepropagationmodel AT robertocasadovara ontheoptimalcontrolofamalwarepropagationmodel
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On the Optimal Control of a Malware Propagation Model

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