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1. Positive Periodic Solutions of a Three Species Predator-Prey System with Discrete Time Delays.

Author

Changjin Xu and Maoxin Liao

Subjects
*DISCRETE time filters, *DIFFERENTIAL equations, *TIME delay systems, *DIFFERENCE equations, *MATHEMATICS theorems, *ESTIMATION theory
Abstract

In this paper, a class of three species predator-prey system with discrete time delays is considered. With the help of differential equations with piecewise constant arguments, we first propose the discrete analogue of a continuous three species predator-prey system with discrete time delays. Then, a easily verifiable sufficient condition for the existence of positive solutions of difference equations is obtained. The approach used in the paper is the coincidence degree and the related continuation theorem as well as some priori estimations. [ABSTRACT FROM AUTHOR]

Published
2012

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