A fractional epidemiological model for computer viruses pertaining to a new fractional derivative

Jagdev Singh, Devendra Kumar, Zakia Hammouch and Abdon Atangana

Applied Mathematics and Computation, 2018, vol. 316, issue C, 504-515

Abstract: In the computer security and for any defensive strategy, computer viruses are very significant aspect. To understand their expansion and extension is very important component. In order to deal with this issue, we consider a fractional epidemiological model. In this article, we analyze moderate epidemiological model to describe computer viruses with an arbitrary order derivative having non-singular kernel. We obtain the solution of the problem by using an iterative method. By using the fixed-point theorem the existence of the solution is discussed. The uniqueness of the solution is verified. We perform some numerical simulations and show graphically to observe the impact of the arbitrary order derivative.

Keywords: Fractional differential equations; Caputo-Fabrizio derivative; Fixed point theorem; Epidemiological model; Computer viruses (search for similar items in EconPapers)
Date: 2018
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (63)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:316:y:2018:i:c:p:504-515

DOI: 10.1016/j.amc.2017.08.048

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