Dynamic Complexities of An Ivlev-type Two-prey One-predator System with Impulsive Effect
In this paper,we investigate the dynamic behaviors of an Ivlev-type two-prey one-predator system concerning integrated pest management (IPM).By using Floquets Theorem and the small amplitude perturbation method,we prove that there exists a local asymptotically stable two-prey eradication periodic solution when the impulsive periodic is less than some critical value.Further,we show that the system is permanent if the impulsive periodic is larger than some critical value.Numerical results show that the system considered has more complicated dynamics,such as periodic-doubling cascade,chaos,attractor crisis,etc.
two-prey one-predator system impulsive effect extinction permanent
Shunyi Li Zuoliang Xiong Wei Wang
Department of mathematic,Nanchang University,Nanchang,Jiangxi 330031,China
国际会议
山东泰安
英文
525-533
2008-07-25（万方平台首次上网日期，不代表论文的发表时间）