journal article·2019Open access

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

Muhammad Shoaib Arif, Ali Raza, Wasfi Shatanawi, Muhammad Rafiq, Mairaj Bibi

Computers, Materials & Continua· Volume 61· Issue 3

Abstract

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 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.
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Research context

OpenAlex topics: Mathematical and Theoretical Epidemiology and Ecology Models · Cellular Automata and Applications · Stochastic processes and statistical mechanics

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