American Institute of Mathematical Sciences

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August  2004, 4(3): 563-574. doi: 10.3934/dcdsb.2004.4.563

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, China
2. 

Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, Alta., Canada T6G 2G1, Canada

Received  February 2003 Revised  December 2003 Published  May 2004

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.
Keywords: periodic solutions, coincidence degree., difference equations, Predator-prey systems, semiratio-dependent.
Mathematics Subject Classification: 39A11, 39A12, 92D2.
Citation: Meng Fan, Qian Wang. Periodic solutions of a class of nonautonomous discrete time semi-ratio-dependent predator-prey systems. Discrete and Continuous Dynamical Systems - B, 2004, 4 (3) : 563-574. doi: 10.3934/dcdsb.2004.4.563
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