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Communication Dans Un Congrès Année : 2022

Fractional dynamics of a transmission model of Zika disease

Résumé

The goal of this work is to study a ZIKA disease model using fractional derivatives in the Caputo sense. After formulating the model, we compute the basic reproduction number R 0 and give rigorous proof of the existence of equilibrium points as well as stability analysis of these equilibrium points. Then, we study the existence and the uniqueness of the solutions of the fractional model using the Banach fixed point theory. Numerical simulations are performed to validate our analytical results, as well as to see the impact of varying the fractional parameter on the disease dynamics
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Dates et versions

hal-03702663 , version 1 (23-06-2022)

Identifiants

  • HAL Id : hal-03702663 , version 1

Citer

Hamadjam Abboubakar, Raissa Kom Regonne, Kevin André Nyemb Ndjem Eone. Fractional dynamics of a transmission model of Zika disease. Colloque Africain sur la Recherche en Informatique et en Mathématiques Appliquées (CARI), Oct 2022, Tunis, Tunisia. ⟨hal-03702663⟩
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