TY - JFULL AU - Shunyi Li and Zhifang He and Xiangui Xue PY - 2013/5/ TI - Complex Dynamic Behaviors in an Ivlev-type Stage-structured Predator-prey System Concerning Impulsive Control Strategy T2 - International Journal of Mathematical and Computational Sciences SP - 670 EP - 675 VL - 7 SN - 1307-6892 UR - https://publications.waset.org/pdf/17054 PU - World Academy of Science, Engineering and Technology NX - Open Science Index 76, 2013 N2 - An Ivlev-type predator-prey system and stage-structured for predator concerning impulsive control strategy is considered. The conditions for the locally asymptotically stable prey-eradication periodic solution is obtained, by using Floquet theorem and small amplitude perturbation skills——when the impulsive period is less than the critical value. Otherwise, the system is permanence. Numerical examples show that the system considered has more complicated dynamics, including high-order quasi-periodic and periodic oscillating, period-doubling and period-halving bifurcation, chaos and attractor crisis, etc. Finally, the biological implications of the results and the impulsive control strategy are discussed. ER -