Displaying similar documents to “Multiple periodic solutions of a discrete time predator-prey systems with type IV functional responses.”

Positive periodic solution for ratio-dependent n -species discrete time system

Mei-Lan Tang, Xin-Ge Liu (2011)

Applications of Mathematics

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In this paper, sharp a priori estimate of the periodic solutions is obtained for the discrete analogue of the continuous time ratio-dependent predator-prey system, which is governed by nonautonomous difference equations, modelling the dynamics of the n - 1 competing preys and one predator having nonoverlapping generations. Based on more precise a priori estimate and the continuation theorem of the coincidence degree, an easily verifiable sufficient criterion of the existence of positive...