Computational dynamics of a fractional order model of chickenpox spread in Phuket province.

In this investigation, a distinctive chickenpox model incorporating the Caputo fractional derivative is introduced. Equilibrium points and the fundamental reproduction number of the model are systematically computed. The study also scrutinizes the existence, uniqueness, positivity, and boundedness of solutions. Furthermore, a comprehensive analysis of both local asymptotic stability and global stability at the disease-free equilibrium is carried out. To demonstrate the practical utility of the model, a numerical simulation of chickenpox dynamics in Phuket city is conducted using MATLAB. This research contributes to a better understanding of chickenpox transmission dynamics, offering valuable insights for disease control and management strategies. • Proposed fractional model for Chickenpox in Phuket with parameter exponentiation. • Established positive invariant region; analyzed existence and uniqueness. • Utilized next-gen matrix for R 0 , Lyapunov method to analyze stability. • Justified the importance of vaccine and parameter exponentiation via simulations. • Explores memory effect, underscores parameter exponentiation's significance. [ABSTRACT FROM AUTHOR]