Study of the stability of a SEIRS model for computer worm propagation

J.D. Hernández Guillén, A. Martín del Rey and L. Hernández Encinas

Physica A: Statistical Mechanics and its Applications, 2017, vol. 479, issue C, 411-421

Abstract: Nowadays, malware is the most important threat to information security. In this sense, several mathematical models to simulate malware spreading have appeared. They are compartmental models where the population of devices is classified into different compartments: susceptible, exposed, infectious, recovered, etc. The main goal of this work is to propose an improved SEIRS (Susceptible–Exposed–Infectious–Recovered–Susceptible) mathematical model to simulate computer worm propagation. It is a continuous model whose dynamic is ruled by means of a system of ordinary differential equations. It considers more realistic parameters related to the propagation; in fact, a modified incidence rate has been used. Moreover, the equilibrium points are computed and their local and global stability analyses are studied. From the explicit expression of the basic reproductive number, efficient control measures are also obtained.

Keywords: Malware propagation; Mathematical model; Stability analysis; Computer worms; Basic reproductive number (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:479:y:2017:i:c:p:411-421

DOI: 10.1016/j.physa.2017.03.023

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