Analysis of dengue transmission taking into account hemorrhagic cases through Caputo fractional order derivatives

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Résumé

We perform on a dengue disease model using Caputo fractional derivatives in order to better observe the dynamics of infection in human beings, especially the dynamics of dengue hemorrhagic cases. After rigorous mathematical study, we calculate the basic reproduction number and determine the equilibrium points. We then establish an analysis of stability in each of the different states depending on the value of . Moreover, to support the theoretical work, we present numerical simulations obtained using Python.

Mots-clés

dengue transmission, dengue hemorrhagic fever, Caputo fractional derivative, fractional-order epidemic model, basic reproduction number, equilibrium stability analysis, disease dynamics