Numerical Study of Computer Virus Reaction Diffusion Epidemic Model Umbreen Fatima 1 , Dumitru Baleanu 2,3,4 , Nauman Ahmed 5,8 , Shumaila Azam 5 , Ali Raza 6,* , Muhammad Rafiq 7 and Muhammad Aziz-ur Rehman 8 1 Department of Computer Science, The University of Lahore, Lahore, Pakistan 2 Department of Mathematics, Cankaya University, Ankara, Turkey 3 Institute of Space Sciences, Magurele-Bucharest, Romania 4 Department of Medical Research, China Medical University Hospital, China Medical University, Taichung, Taiwan 5 Department of Mathematics and Statistics, The University of Lahore, Lahore, Pakistan 6 Department of Mathematics, National College of Business Administration and Economics Lahore, Lahore, Pakistan 7 Faculty of Engineering, University of Central Punjab, Lahore, Pakistan 8 Department of Mathematics, University of Management and Technology, Lahore, Pakistan  Corresponding Author: Ali Raza. Email: Alimustasamcheema@gmail.com Received: 14 July 2020; Accepted: 16 July 2020 Abstract: Reaction–diffusion systems are mathematical models which link to sev- eral physical phenomena. The most common is the change in space and time of the meditation of one or more materials. Reaction–diffusion modeling is a sub- stantial role in the modeling of computer propagation like infectious diseases. We investigated the transmission dynamics of the computer virus in which con- nected to each other through network globally. The current study devoted to the structure-preserving analysis of the computer propagation model. This manu- script is devoted to finding the numerical investigation of the reaction–diffusion computer virus epidemic model with the help of a reliable technique. The designed technique is finite difference scheme which sustains the important phy- sical behavior of continuous model like the positivity of the dependent variables, the stability of the equilibria. The theoretical analysis of the proposed method like the positivity of the approximation, stability, and consistency is discussed in detail. A numerical example of simulations yields the authentication of the theo- retical results of the designed technique. Keywords: Computer virus dynamics; reaction–diffusion system; positive solution; simulations 1 Introduction Computer viruses are automated programs that, against the users’ wish, make copies of themselves to spread to new targets and as a result infect the computers [1]. With the accelerated advancement of modern technologies, the internet has assimilated into each part of our life, which is a great help for us, as well as it also poses a serious problem to individual and corporate computer systems through cyber- attacks [2]. A lot of effort has been dedicated to studying how to avoid harmful actions. To control effectively the diffusion of computer viruses, it is very crucial to figure out the ways that nasty codes 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. Computers, Materials & Continua DOI:10.32604/cmc.2021.012666 Article ech T Press Science