Sayed, AmaalKhalil, MArafa, A.M.A2021-01-302021-01-302021-012077-4435https://doi.org/ 10.36632/csi/2019.8.4.30http://repository.msa.edu.eg/xmlui/handle/123456789/4412Fractional calculus is one of the best mathematical tools to characterize the memory property of the dynamical systems. So, Variable-order fractional derivatives in Caputo sense are used in characterizing the memory property of the presented dynamic a vector host model. Numerical solutions are obtained using a predictor-corrector method to handle the fractional derivatives. These numerical solutions show that the modeling of vector host model with variable-order fractional derivatives has more advantaged than integer-order derivatives.en-USvector host model.Fractional calculusdynamical systemsPredictor-corrector methodPredictor-corrector methodVariable-order fractional derivativesArticlehttps://doi.org/ 10.36632/csi/2019.8.4.30