Discrete dynamics of phytoplankton-zooplankton systems with Holling type functional responses

Abstract

In this paper, we study discrete dynamics of phytoplankton-zooplankton system with Holling type II and Holling type III predator functional responses. The stability of positive fixed points are investigated. By finding invariant sets, the convergence of the trajectory was shown under certain conditions on the parameters.

arXiv comment18 pages, 7 figures