Permanence and Global Attractivity of a Discrete Semi-Ratio-Dependent Predator-Prey System with Holling IV Type Functional Response
Received:September 25, 2008  Revised:September 15, 2009
Key Words: discrete   periodic solution   permanence   global stability.  
Fund Project:Supported by the Scientific Research Fund of Heilongjiang Provincial Education Department of China (Grant Nos.11531428; 11521306).
Author NameAffiliation
Xiao Hong LI Department of Mathematics, QiQihaer University, Heilongjiang 161000, P. R. China 
Chun LU Department of Mathematics, Qingdao Technological University, Shandong 266520, P. R. China 
Xiu Feng DU Department of Mathematics, QiQihaer University, Heilongjiang 161000, P. R. China 
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Abstract:
      In this paper, we investigate a discrete semi-ratio dependent predator-prey system with Holling IV type functional response. For general nonautonomous case, sufficient conditions which ensure the permanence and the global stability of the system are obtained. Meanwhile, we discuss the existence of the positive periodic solution and global stability of the system.
Citation:
DOI:10.3770/j.issn:1000-341X.2010.03.008
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