A Stage-Structured Predator-Prey System with Impulsive Effect and Holling Type-II Functional Response
Received:January 23, 2009  Revised:April 26, 2010
Key Word: predator-prey system   Holling type-II functional response   impulsive effect   extinction   permanence.  
Fund ProjectL:Supported by the National Natural Science Foundation of China (Grant Nos.10671209; 10926064).
Author NameAffiliation
Ling Shu WANG School of Mathematics and Statistics, Hebei University of Economics & Business, Hebei 050061, P. R. China 
Rui XU Institute of Applied Mathematics, Shijiazhuang Mechanical Engineering College, Hebei 050003, P. R. China 
Guang Hui FENG Institute of Applied Mathematics, Shijiazhuang Mechanical Engineering College, Hebei 050003, P. R. China 
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Abstract:
      A stage-structured predator-prey system with impulsive effect and Holling type-II functional response is investigated. By the Floquet theory and small amplitude perturbation skills, it is proved that there exists a global stable pest-eradication periodic solution when the impulsive period is less than some critical values. Further, the conditions for the permanence of system are established. Numerical simulations are carried out to illustrate the impulsive effect on the dynamics of the system.
Citation:
DOI:10.3770/j.issn:1000-341X.2011.01.017
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