Deterministic and fractional modeling of a computer virus propagation

Abstract

The dynamic behaviors of computer virus models are investigated. In the first phase, we discussed the deterministic version of the proposed model by taking into consideration the local and global stability. For global stability the Castillo-Chavez approach is taken into account. The deterministic version is numerically solved by the Runge–Kutta scheme. The model is then fractionalized by using the Atangana–Baleanu–Caputo operator. Existence uniqueness and Hyers–Ulam stability of the fractionalized model is established. The Atangana–Toufik method is used for the numerical examination of a fractional version of the proposed model.