Analysis of SLBR model investigation of spread of computer viruses with atangana-baleanu fractional derivative

Computer viruses are malicious software designed to damage a computer system or steal data. Computer viruses can cause unwanted changes in the computers used. Numerous mathematical models have been constructed to forecast the harm that computer viruses can do. In this study, we examine the SLBR model with the Atangana-Baleanu fractional derivative in order to control the spread of viruses in the computer network and minimize their damage. There are five chapters in this thesis. In the first section, the introduction, the areas of use of mathematical models and studies on computer viruses are discussed. In the second section, basic definitions regarding the Atangana-Baleanu derivative to use in our model are given. The third section includes the SLBR (susceptible-latent-breaking out-recovering) model for computer virus programs. Furthermore, the differential equations, parameters and flow diagram of the model are comprised. In the fourth section, the solution properties of the fractional SLBR model are explained. In the fifth section, the graphs of the model are given using numerical methods to analyze the behavior of the mathematical model.