Annals of R.S.C.B., ISSN:1583-6258, Vol. 25, Issue 2, 2021, Pages. 3501 - 3512 Received 20 January 2021; Accepted 08 February 2021. 3501 http://annalsofrscb.ro Effect of Anti-Virus in Computer Network: A Mathematical Model in Deterministic and Stochastic Approach K. Chinnadurai 1 , S. Athithan 2 * 1,2 Department of Mathematics, College of Engineering and Technology, SRM Institute of Science and Technologt, Kattankulathur – 603203, Tamilnadu, India 2 *athithas@srmist.edu.in, 1 chinnadk@srmist.edu.in . ABSTRACT A mathematical model of computer network is designed and determined both deterministic and stochastic point of view. The model exhibits two equilibria which are virus free equilibrium and endemic equilibrium. Basic reproduction number R 0 is found and is used to study and predict the nature of the equilibrium points of the model. Numerical simulation is carried to show the validity of our analytical findings both in deterministic and stochastic. The results are also compared between deterministic and stochastic. Most of the parameters used in our model shows a significant change in the behaviour of the network, particularly anti-virus effect parameter exhibits better effect as we increase the vale of the parameter, the infected nodes gets decreases. In this manner it is good to consider our model to predict the nature of the computer networks under the assumptions of our model. Keywords Computer Virus, Simulation, Differential Equations, Stochastic Differential Equations, Virus breeding. 1. Introduction efficiendi. The relationship between the computer virus and anti-virus with the poverty people handling capacity depends upon the software(program) selling Price based on the product/demand but not in people Economic level. Now a days computer programmers are becoming more and more realistic based social problems [1]. Virtual virus is a handheld malicious application that contains malware, Trojan horses, parasite, and logic blast.It is a machine capable of modifying itself and targeting other machines. And they reside by deleting records, destroying information, or altering regular operations. Since machine virus and biological virus are extremely similar [3]. This dynamic modeling of the computer virus spread process is a decisive method to identifying the behavior of computer virus. Because, some factual estimation could be put in place to avert infection on this basis [2]. Now a days computer virus are responsible for huge economic loss. It remove data, cause system failure, etc. The PC virus started in 1980s. When real computers came in the market and then computer virus also came along with these Computer virus were small code pieces which attached to large files and systems. If we running the affected files then the virus used to get loaded into memory [6]. A broad description of the development of computer virus concealment strategies and protection mechanisms associated in anti-virus devices. To remain hidden from the anti-virus scanners, machine viruses are increasingly refining their codes to render them invisible. Anti- virus techniques, on the other side, constantly pursue the techniques and methods of viruses to defeat their risks [7]. The integration of new machines into the network and the withdrawal of outdated machines from the network shall be taken into consideration. While the machines on the wireless network are loaded with antivirus applications [8]. Metamorphic strategies are