TY - JOUR AU - Wang, Yuanyuan AU - Wang, Lisha PY - 2015 DA - 2015/10/06 TI - Hybrid control of the Neimark-Sacker bifurcation in a delayed Nicholson’s blowflies equation JO - Advances in Difference Equations SP - 306 VL - 2015 IS - 1 AB - In this article, for delayed Nicholson’s blowflies equation, we propose a hybrid control nonstandard finite-difference (NSFD) scheme in which state feedback and parameter perturbation are used to control the Neimark-Sacker bifurcation. Firstly, the local stability of the positive equilibria for hybrid control delay differential equation is discussed according to Hopf bifurcation theory. Then, for any step-size, a hybrid control numerical algorithm is introduced to generate the Neimark-Sacker bifurcation at a desired point. Finally, numerical simulation results confirm that the control strategy is efficient in controlling the Neimark-Sacker bifurcation. At the same time, the results show that the NSFD control scheme is better than the Euler control method. SN - 1687-1847 UR - https://doi.org/10.1186/s13662-015-0640-2 DO - 10.1186/s13662-015-0640-2 ID - Wang2015 ER -