Mathematical Modeling of worm infection on computer in a Network: Case study in the Computer Laboratory, Mathematics Department, Diponegoro University, Indonesia

Abstract

Worm infection were an infection that attack a computer, it work by multiplied itself after got into a computer and made it over work and caused a computer to slowing down. Worm spreading infection describe by nonlinear mathematic model form with VEISV (Vulnerable, Exposed, Infected, Secured) as the model. Worm free equilibrium and endemic equilibrium were calculated to obtain the stability analysis, and numeric solution were performed using data from Computer Laboratory, Mathematics Department of Faculty of Sciences and Mathematics, Diponegoro University using Runge-Kutta fourth-order method. From the result of stability analysis we obtained that worm free equilibrium were not stable and endemic equilibrium were locally asymptotically stable, and from the result of numeric solution every class proportion from model were obtained.