The Circadian rhythm regulates several physiological processes in human beings. Hence it is important to understand its dynamics and regulate them. There are several dynamic models describing the Circadian rhythms. One of the most commonly used modes is the Jewett-Forger-Kronauer (JFK) model. Several researchers have reported the existence of limit cycles and conducted single-objective optimization studies for the Jewett-Forger-Kronauer (JFK) model that describes Circadian rhythms. In this work, a ) it is shown that the limit cycles occur because of Hopf bifurcation points b) a computational strategy to eliminate the Hopf bifurcations that cause these limit cycles is provided and c) Multiobjective nonlinear model predictive control calculations are performed, for the Circadian rhythms Jewett-Forger-Kronauer (JFK) model. Bifurcation analysis was performed with MATCONT ( a MATLAB software) while the Multiobjective nonlinear model predictive control was performed with the optimization language PYOMO (a Python software).