Finding the Exact Solution of the Dynamic Model for the Spread of Computer Viruses Using the Homogeneous Balance Method

Ali, Sadoon Haji; Ghatet, Ahmed E.

doi:10.33899/edusj.2024.149100.1

	Finding the Exact Solution of the Dynamic Model for the Spread of Computer Viruses Using the Homogeneous Balance Method
Journal of Education and Science
Volume 33, Issue 3, September 2024, Pages 35-44 PDF (984.7 K)
Document Type: Research Paper
DOI: 10.33899/edusj.2024.149100.1
Authors
Sadoon Haji Ali^* ; Ahmed E. Ghatet
Department of Mathematics, College of Computer Sciences and Mathematics, University of Mosul, Mosul, Iraq
Abstract
In this paper, we solved the SEIR system (a system that describes the spread of viruses in computers) using the homogeneous balance method, which is one of the methods concerned with finding the accurate solution for equations of various types, linear, non-linear, partial, and ordinary. SEIR is a system of nonlinear partial equations. Studying this system helps reduce the damage caused by viruses to computers and the problems they cause to devices by predicting the presence of viruses before they spread to computers. The system was solved and the exact solution of the SEIR system was found. The effect of the parameters was studied, and it was found that the smaller these parameters were (close to zero), the slower the viruses leaked into computers. The impact of parameters and how much performance they can cause to devices is explained using 3D graphics. It has become clear that these viruses pose a great danger to devices, so studying them is a topic that deserves attention.
Keywords
: computer virus model; The homogeneous balance method; partial differential l equation; SEIR (It is a dynamic system that describes the spread of computer viruses )

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