Adaptive Strategies for Dengue Control UtilizingCaputo Fabrizio Fractional-Order Models and SumuduTransform Techniques

Abstract

In this research, we develop a Caputo-Fabrizio fractional-order dengue model and solve it using the Sumudu transformation method. To guarantee the stability and uniqueness of the results, we apply fixed point theory and the Picard-Lindelof approach. Additionally, we introduce a nonlinear adaptive robust controller for the Caputo Fabrizio fractional-order dengue model. This controller dynamically adjusts prevention strategies, hospitalization environments, and insecticide use to mitigate dengue infection. The stability and effectiveness of the controller are demonstrated using a suitable Lyapunov function, the numerical result highlighting its potential in effectively managing and preventing dengue outbreaks