On the Optimal Control of a Malware Propagation Model

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.

Analysis of Optimal Control Strategies for Preventing Computer Virus Infection and Reduce Program Files Damage with Other Symptoms

“…On the optimal control of a malware propagation model, Guillen et al [16], stated that the important way to control malware epidemic process is to take into account the security measures that are associated to the systems of ordinary differential equations that govern the dynamic of such systems. Here they considered two types of control measures, that is the analysis of the basic reproduction number and the study of control measure functions.…”