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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| Format: | Article |
| Language: | English |
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MDPI AG
2020-09-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/8/9/1518 |
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| author | Jose Diamantino Hernández Guillén Ángel Martín del Rey Roberto Casado Vara |
| author_facet | Jose Diamantino Hernández Guillén Ángel Martín del Rey Roberto Casado Vara |
| author_sort | Jose Diamantino Hernández Guillén |
| collection | DOAJ |
| 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. |
| first_indexed | 2024-03-10T16:33:09Z |
| format | Article |
| id | doaj.art-b22fffd112204e6a9a26ef3ba2144267 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T16:33:09Z |
| publishDate | 2020-09-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-b22fffd112204e6a9a26ef3ba21442672023-11-20T12:42:47ZengMDPI AGMathematics2227-73902020-09-0189151810.3390/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 |
| 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 |
| title | 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_short | On the Optimal Control of a Malware Propagation Model |
| title_sort | on the optimal control of a malware propagation model |
| topic | optimal control epidemic model malware propagation |
| url | https://www.mdpi.com/2227-7390/8/9/1518 |
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