@article{(Open Science Index):https://publications.waset.org/pdf/17054,
	  title     = {Complex Dynamic Behaviors in an Ivlev-type Stage-structured Predator-prey System Concerning Impulsive Control Strategy},
	  author    = {Shunyi Li and  Zhifang He and  Xiangui Xue},
	  country	= {},
	  institution	= {},
	  abstract     = {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.
},
	    journal   = {International Journal of Mathematical and Computational Sciences},
	  volume    = {7},
	  number    = {4},
	  year      = {2013},
	  pages     = {671 - 675},
	  ee        = {https://publications.waset.org/pdf/17054},
	  url   	= {https://publications.waset.org/vol/76},
	  bibsource = {https://publications.waset.org/},
	  issn  	= {eISSN: 1307-6892},
	  publisher = {World Academy of Science, Engineering and Technology},
	  index 	= {Open Science Index 76, 2013},
	}