Periodic solutions of a class of nonautonomous discrete time semi-ratio-dependent predator-prey systems

Meng Fan; Qian Wang

doi:10.3934/dcdsb.2004.4.563

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2004, Volume 4, Issue 3: 563-574. Doi: 10.3934/dcdsb.2004.4.563

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Periodic solutions of a class of nonautonomous discrete time semi-ratio-dependent predator-prey systems

Meng Fan^1, and
Qian Wang^2,

1.
School of Mathematics and Statistics, and Key Laboratory for Vegetation Ecology of the Education Ministry, Northeast Normal University, 5268 Renmin Street, Changchun, Jilin, 130024
2.
Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, Alta., Canada T6G 2G1

Received: January 31, 2003

Revised: November 30, 2003

Published: July 2005

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Abstract

In this paper, we establish sufficient criteria for the existence of positive periodic solutions for a class of discrete time semi-ratio-dependent predator-prey interaction models based on systems of nonautonomous difference equations. The approach involves the coincidence degree and its related continuation theorem as well as some priori estimates.

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Mathematics Subject Classification: 39A11, 39A12, 92D25.

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