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A hybrid analytical scheme for the numerical computation of time fractional computer virus propagation model and its stability analysis

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  • Dubey, Ved Prakash
  • Kumar, Rajnesh
  • Kumar, Devendra

Abstract

In this paper, we present an application of the homotopy perturbation transform method to compute the approximate analytical solution of the nonlinear fractional order computer virus propagation (CVP) model. The fractional derivatives are used in Caputo sense. The proposed approximate method generates the numerical solution in the shape of a rapid convergent series by utilizing the provided initial conditions. The main purpose of the paper is to analyze the effect of variation of fractional order α on the meeting time of susceptible, infected and recovered computers. Moreover, the local stability analysis of the fractional order computer virus model is also presented using Routh–Hurwitz stability criterion.

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  • Dubey, Ved Prakash & Kumar, Rajnesh & Kumar, Devendra, 2020. "A hybrid analytical scheme for the numerical computation of time fractional computer virus propagation model and its stability analysis," Chaos, Solitons & Fractals, Elsevier, vol. 133(C).
    • Handle: RePEc:eee:chsofr:v:133:y:2020:i:c:s0960077920300254
    DOI: 10.1016/j.chaos.2020.109626
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    Cited by:

    1. Yang, Wenbin & Li, Danqing & Chang, Xin, 2024. "Analysis and numerical simulation of computer virus propagation model based on limited resources," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 223(C), pages 494-508.
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    4. Singh, Harendra & Baleanu, Dumitru & Singh, Jagdev & Dutta, Hemen, 2021. "Computational study of fractional order smoking model," Chaos, Solitons & Fractals, Elsevier, vol. 142(C).

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