COMPLEXITY ANALYSIS TO FRACTIONAL ORDER ENZYME MODEL

This study examines a discrete-time enzyme model with Caputo fractional order. We look into the existence and uniqueness of fixed points in discrete dynamic discover parametric criteria for their local asymptotic stability. Additionally, it is demonstrated using bifurcation theory that system experiences Period-Doubling Neimark-Sacker constrained area around singular positive point an invariant circle would result. It has been determined parameter values initial conditions have significant impact on dynamical behavior order model. use Matlab tools, numerical analysis offered to illustrate theoretical debates. Therefore, simulations are used support key findings.