Parameters Identification and Numerical Simulation for a Fractional Model of Honeybee Population Dynamics

In order to investigate the honeybee population dynamics, many differential equation models were proposed. Fractional derivatives incorporate history of dynamics. We numerically study inverse problem parameter identification in with Caputo and Caputo–Fabrizio operators. use a gradient method minimizing quadratic cost functional. analyze compare results for integer (classic) fractional models. The present work also contains discussion on efficiency numerical methods used. Computational tests realistic data performed are discussed.