# American Institute of Mathematical Sciences

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

 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.
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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