Deterministic and fractional modeling of a computer virus propagation

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.

Automated summary

The dynamic behaviors of computer virus models were investigated, including discussing the deterministic version and solving it numerically using the Runge-Kutta scheme. The model was then fractionalized and the existence uniqueness and stability were established, using the Atangana-Baleanu-Caputo operator. The Atangana-Toufik method was applied for the numerical examination of the fractional version of the model.