2026-09-14T05:52:10Zhttps://riubu.ubu.es/oai/request

oai:riubu.ubu.es:10259/72422023-03-17T08:17:05Zcom_10259_3847com_10259_5086com_10259_2604col_10259_3848

Hernández Guillén, José Diamantino Martín del Rey, Ángel Casado Vara, Roberto Carlos 2023-01-13T13:35:29Z 2023-01-13T13:35:29Z 2020-09 http://hdl.handle.net/10259/7242 10.3390/math8091518 2227-7390 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. This research has been partially supported by Ministerio de Ciencia, Innovación y Universidades (MCIU, Spain), Agencia Estatal de Investigación (AEI, Spain), and Fondo Europeo de Desarrollo Regional (FEDER, UE) under project with reference TIN2017-84844-C2-2-R (MAGERAN) and the project with reference SA054G18 (MASEDECID) supported by Consejería de Educación (Junta de Castilla y León, Spain). J.D. Hernández Guillén is supported by University of Salamanca (Spain) and Banco Santander under a doctoral grant. application/pdf eng MDPI Mathematics. 2020, V. 8, n. 9, e1518 https://doi.org/10.3390/math8091518 info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/TIN2017-84844-C2-2-R/ES/MODELOS MATEMATICOS PARA LA SEGURIDAD EN REDES FRENTE A CIBERAMENAZAS EMERGENTES/ info:eu-repo/grantAgreement/Junta de Castilla y León//SA054G18//Modelos matemáticos en seguridad, defensa y ciberdefensa: diseño e implementación computacional/MASEDECID/ Atribución 4.0 Internacional http://creativecommons.org/licenses/by/4.0/ info:eu-repo/semantics/openAccess Optimal control Epidemic model Malware propagation Informática Computer science On the Optimal Control of a Malware Propagation Model info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Mathematics 8 9