On the Optimal Control of a Malware Propagation Model

Jose Diamantino Hernández Guillén, Ángel Martín del Rey and Roberto Casado Vara
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Jose Diamantino Hernández Guillén: Department of Applied Mathematics, University of Salamanca, 37008 Salamanca, Spain
Ángel Martín del Rey: Department of Applied Mathematics, Institute of Fundamental Physics and Mathematics, University of Salamanca, 37008 Salamanca, Spain
Roberto Casado Vara: BISITE Research Group, University of Salamanca, 37008 Salamanca, Spain

Mathematics, 2020, vol. 8, issue 9, 1-16

Abstract: 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.

Keywords: optimal control; epidemic model; malware propagation (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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