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

Rui Xu; M.A.J. Chaplain; F.A. Davidson

doi:10.3934/dcdsb.2004.4.823

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2004, Volume 4, Issue 3: 823-831. Doi: 10.3934/dcdsb.2004.4.823

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

1.
Department of Mathematics, Shijiazhuang Mechanical Engineering College, Shijiazhuang 050003
2.
Department of Mathematics, University of Dundee, Dundee DD1 4HN

Received: October 2002

Revised: December 2003

Published: August 2005

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Abstract

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.

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Mathematics Subject Classification: 39A11, 92D25.

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