Stability analysis of a computer virus epidemic model at disease-free equilibrium

Abstract

In this study, we partitioned the population into Susceptible (Sc), Protected (Pc), Exposed (Ec), Infected (Ic), Quarantined (Qc) and recovered (Rc) individuals with their corresponding parameters. We analyzed a ScPcEcIcQcRcSc compartmental nonlinear deterministic mathematical model of Computer virus epidemic in a community with constant population. Analytical studies were carried out on the model to: investigate the existence and uniqueness of solution of the model equations and explore the basic properties of the model equations. The disease-free equilibrium points of the model is computed and proved to be locally and globally asymptotically stable if R₀ < 0 and unstable if R₀ > 0. Finally, we simulate the model system in MATLAB and obtained the graphical behavior of the infected compartmental variables in the model. From the simulation, we observed that the Computer virus infection was eradicated when R₀ < 0 while it persist in the environment when R₀ > 0.