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A Stochastic Numerical Analysis for Computer Virus Model with Vertical Transmission Over the Internet

Muhammad Shoaib Arif1, Ali Raza1, Wasfi Shatanawi2, 3, *, Muhammad Rafiq4, Mairaj Bibi5

1 Department of Mathematics, Stochastic Analysis & Optimization Research Group, Air University, PAF Complex E-9, Islamabad, 44000, Pakistan.
2 Department of Mathematics and General Courses Prince Sultan University Riyadh, Saudi Arabia.
3 Department of Medical Research, China Medical University Hospital, China Medical University, Taichung, 40402, Taiwan.
4 Faculty of Engineering, University of Central Punjab, Lahore, 54500, Pakistan.
5 Department of Mathematics, Comsats University, Chak Shahzad Campus, Islamabad, 44000, Pakistan.
* Corresponding Author: Wasfi Shatanawi. Email:

Computers, Materials & Continua 2019, 61(3), 1025-1043.


We are presenting the numerical analysis for stochastic SLBR model of computer virus over the internet in this manuscript. We are going to present the results of stochastic and deterministic computer virus model. Outcomes of the threshold number C* hold in stochastic computer virus model. If C*<1 then in such a condition virus controlled in the computer population while C*>1 shows virus 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 scheme (SNSFD) maintains all diverse characteristics such as dynamical consistency, bounded-ness and positivity as well-defined by Mickens. On this basis, we can suggest a collection of plans for eradicating viruses spreading across the internet effectively.


Cite This Article

M. Shoaib Arif, A. Raza, W. Shatanawi, M. Rafiq and M. Bibi, "A stochastic numerical analysis for computer virus model with vertical transmission over the internet," Computers, Materials & Continua, vol. 61, no.3, pp. 1025–1043, 2019.


This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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