CAPUTO-FABRIZIO FRACTIONAL DRIVATIVES OF AGE-STRUCTURED DIPPTHERIA INFECTION MODEL WITH LAPLACE ADOMIAN DECOMPOSITION ANALYSIS
Abstract
Diphtheria is a bacterial infectious disease that can lead to severe complications and even deaths. This work presents the Caputo-Fabrizio Fractional derivatives of the aged-structured deterministic model of diphtheria infection. The existence and the uniqueness of the solution of the model are investigated and established using the contraction principle. The stability of the model is investigated with the help of the well-known Ulem-Hyers and the generalized Ulem-Hyers theorems. Analyzing the model using the Laplace Adomian Decomposition Methods,the system’s analytical solution, in the form of an infinite series that converges quickly to it exact value is obtained.
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