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August  2004, 4(3): 823-831. doi: 10.3934/dcdsb.2004.4.823

Periodic solutions of a discrete nonautonomous Lotka-Volterra predator-prey model with time delays

Rui Xu 1, , M.A.J. Chaplain 2, and  F.A. Davidson 2,

1. 

Department of Mathematics, Shijiazhuang Mechanical Engineering College, Shijiazhuang 050003, China
2. 

Department of Mathematics, University of Dundee, Dundee DD1 4HN, United Kingdom, United Kingdom

Received  October 2002 Revised  December 2003 Published  May 2004

A discrete periodic two-species Lotka-Volterra predator-prey model with time delays is investigated. By using Gaines and Mawhin's continuation theorem of coincidence degree theory, a set of easily verifiable sufficient conditions are derived for the existence of positive periodic solutions of the model.
Keywords: Discrete predator-prey model, periodic solution, time delay, coincidence degree..
Mathematics Subject Classification: 39A11, 92D2.
Citation: Rui Xu, M.A.J. Chaplain, F.A. Davidson. Periodic solutions of a discrete nonautonomous Lotka-Volterra predator-prey model with time delays. Discrete & Continuous Dynamical Systems - B, 2004, 4 (3) : 823-831. doi: 10.3934/dcdsb.2004.4.823
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