Deterministic and fractional modeling of a computer virus propagation
Rahat Zarin, Hammad Khaliq, Amir Khan, Dolat Khan, Ali Akgül, Usa Wannasingha Humphries
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.
Topics & Concepts
UniquenessStability (learning theory)Operator (biology)Applied mathematicsScheme (mathematics)Computer scienceMathematicsStatistical physicsMathematical optimizationMathematical analysisPhysicsMachine learningBiochemistryTranscription factorGeneRepressorChemistryFractional Differential Equations SolutionsMathematical and Theoretical Epidemiology and Ecology ModelsNumerical methods for differential equations