Implementation of caputo type fractional-order differential equations to investigate the impact of birds-flue incorporating genetic algorithm-based optimization
摘要
In this study, we introduce a fractional-order differential equations (FODEs) based mathematical model grounded in the Caputo derivative and analytically derive the basic reproduction number, underscoring its pivotal role in the model’s dynamics, particularly to derive the asymptotical stability of feasible equilibria and existence of forward bifurcation criterion. We further pose an optimal control problem featuring a time-varying control and rigorously analyze the influence of the associated control parameters on disease progression. To substantiate our theoretical insights, we implement numerical simulation method, verifying stability and dynamic behaviours consistent with analytic predictions.