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Computer Virus Model with Stealth Viruses and Antivirus Renewal in a Network with Fast Infectors

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Abstract

Computer viruses have the potential to wreak havoc on domestic and industrial computer networks by targeting and deleting important operational programs. Antivirus software is normally installed to detect and remove viruses from infected network computers. In recent times, the compartmental model approach commonly utilized to describe the dynamics of spread for biological viruses in a population has been employed successfully to document the spread of computer viruses in a network. In this paper, we adopt a modified SIRA (Susceptible–Infected–Recovered–Antidotal) model to study the propagation of stealth viruses, and to investigate the impact of antivirus renewal on the dynamics of viral spread in a computer network. The virus-free and endemic equilibria are identified, and a stability analysis is performed on the system. The importance of key parameters on the dynamics of viral spread in the network is illustrated numerically.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, The University of the West Indies, St. Augustine Campus, St. Augustine, Trinidad and Tobago

    Hassan Shah & Donna Marie Giselle Comissiong

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  1. Hassan Shah
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  2. Donna Marie Giselle Comissiong
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Correspondence to Donna Marie Giselle Comissiong.

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Data sharing is not applicable to this article as no datasets were generated or analysed during the current study. Parameter values for the numerical simulations (in Sect. 5) were selected after consulting the available literature, and all relevant references were duly cited.

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Shah, H., Comissiong, D.M.G. Computer Virus Model with Stealth Viruses and Antivirus Renewal in a Network with Fast Infectors. SN COMPUT. SCI. 2, 407 (2021). https://doi.org/10.1007/s42979-021-00780-9

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