TY  - EJOU
AU  - Arif, Muhammad Shoaib 
AU  - Raza, Ali 
AU  - Shatanawi, Wasfi 
AU  - Rafiq, Muhammad 
AU  - Bibi, Mairaj 

TI  - A Stochastic Numerical Analysis for Computer Virus Model with Vertical Transmission Over the Internet
T2  - Computers, Materials \& Continua

PY  - 2019
VL  - 61
IS  - 3
SN  - 1546-2226

AB  - 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.
KW  - Computer virus model
KW  -  stochastic modelling
KW  -  stochastic techniques
KW  -  stability

DO  - 10.32604/cmc.2019.08405