Open Access

ARTICLE

Numerical Simulations for Stochastic Computer Virus Propagation Model

by Muhammad Shoaib Arif, Ali Raza, Muhammad Rafiq, Mairaj Bibi, Javeria Nawaz Abbasi, Amna Nazeer, Umer Javed

1 Stochastic Analysis & Optimization Research Group, Department of Mathematics, Air University, PAF Complex E-9, Islamabad, Pakistan.
2 Faculty of Engineering University of Central Punjab, Lahore, Pakistan.
3 Department of Mathematics, Comsats University, Chak Shahzad Campus, Islamabad, Pakistan.
4 Department of Electrical and Computer Engineering, Comsats University, Wah Campus, Islamabad, Pakistan.

* Corresponding Author: Muhammad Shoaib Arif. Email: .

Computers, Materials & Continua 2020, 62(1), 61-77. https://doi.org/10.32604/cmc.2020.08595

Abstract

We are presenting the numerical simulations for the stochastic computer virus propagation model in this manuscript. We are comparing the solutions of stochastic and deterministic computer virus models. Outcomes of a threshold number R₀ hold in stochastic computer virus model. If R₀ < 1 then in such a condition virus controlled in the computer population while R₀ > 1 shows virus rapidly spread in the computer population. Unfortunately, stochastic numerical techniques fail to cope with large step sizes of time. The suggested structure of the stochastic non-standard finite difference technique can never violate the dynamical properties. On this basis, we can suggest a collection of strategies for removing virus’s propagation in the computer population.

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Citations