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Deeper investigation of modified epidemiological computer virus model containing the Caputo operator

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  • Gao, Wei
  • Baskonus, Haci Mehmet

Abstract

The main aim of this paper is to analyze the modified epidemiological Susceptible-Infected-Removed model including an antidotal population compartment A (SIRA). The fractional natural decomposition method (FNDM) and variational iteration method (VIM) are applied to the governing model. This model is used to explain the wave behaviors of the infection virus arising in computer science. The SIRA model uses the Caputo derivative satisfying the initial conditions. Moreover, numerical investigations and strain conditions for the optimal values of parameters to minimize the effect of computer virus are also reported. The Lipschitz condition theorem and the Banach space are considered to present the uniqueness with the Caputo operator. Furthermore, various wave distributions of the nature of virus's are also extracted in plots.

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  • Gao, Wei & Baskonus, Haci Mehmet, 2022. "Deeper investigation of modified epidemiological computer virus model containing the Caputo operator," Chaos, Solitons & Fractals, Elsevier, vol. 158(C).
  • Handle: RePEc:eee:chsofr:v:158:y:2022:i:c:s0960077922002600
    DOI: 10.1016/j.chaos.2022.112050
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