Mathematical analysis using fractional operator to study the dynamics of dengue fever

Researchers and analysts are intensively studying modeling contagious diseases using non-integer order derivatives to enhance understanding and prediction. Taking this idea forward, in this study, we consider the fractional model for dengue fever disease. The Hilfer fractional model was initially formulated to address epidemic dynamics. This study employed the numerical technique, the Laplace homotopy analysis transform method (LHATM), to examine the fractional dengue fever model for analysis. We employed homotopy analysis and Laplace transform to formulate the proposed technique. There is also a consideration of the uniqueness and convergence of the solution. Utilizing MATLAB21a, numerical simulation for different integer and non-integer orders within the interval $(0,1)$ has been drawn.