Positive periodic solution of a general discrete non-autonomous difference system of plankton allelopathy with delays

Authors:
Zhijun Liu;Lansun Chen
Affiliations:
Department of Applied Mathematics, Dalian University of Technology, Dalian, Liaoning, PR China and Department of Mathematics, Hubei Institute for Nationalities, Enshi, Hubei, PR China;Department of Applied Mathematics, Dalian University of Technology, Dalian, Liaoning, PR China and Institute of Mathematics, Academy of Mathematics and System Sciences, Academia Sinica, Beijing, P ...
Venue:
Journal of Computational and Applied Mathematics
Year:
2006

Citing 2
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Abstract

The main purpose of this paper is to investigate a discrete time non-autonomous difference system of plankton allelopathy with delays. By employing continuous theorem proposed by Gains and Mawhin and some new techniques, a set of verifiable sufficient criteria are established for the existence of at least one strictly positive (componentwise) periodic solution, and as an application, we also examine some special case, showing that these conditions are similar to those of continuous differential system. It is also shown that the time delays are harmless for the existence of positive periodic solutions of system.