On the Optimal Control of a Malware Propagation Model

Mathematics

Roberto Casado Vara¹  Ángel Martín del Rey²  JoseDiamantino Hernández Guillén³ 

[1] BISITE Research Group, University of Salamanca, 37008 Salamanca, Spain;Department of Applied Mathematics, Institute of Fundamental Physics and Mathematics, University of Salamanca, 37008 Salamanca, Spain;Department of Applied Mathematics, University of Salamanca, 37008 Salamanca, Spain;

关键词: optimal control;    epidemic model;    malware propagation;   

DOI  :  10.3390/math8091518

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown