时滞年龄结构浮游生物模型的平衡点分析

The Equilibrium of an Age Structured Phytoplankton-Zooplankton Model

本文在一类具有时滞效应和收获效应的浮游植物–浮游动物模型基础上,考虑了浮游动物的年龄结构特征,从而得到了一类具有时滞效应,收获效应和年龄结构的浮游植物和浮游动物模型。文章的主要目的是研究年龄结构对该模型动力学性质的影响。通过模型分析,将其转化成一类抽象的柯西问题。在此基础上,本文主要研究了该模型平衡点的动力学性质,包括存在性和唯一性。

In this paper, we study an age-structured phytoplankton-zooplankton model to describe the dy-namics between the two populations. The model is described by considering age-structured zoop-lankton, time delay and harvesting effect. The aim of this paper is to understand the effect of age structure on this model. Sufficient conditions are obtained for the existence of the equilibrium. It is shown that the equilibrium state of the model is related to the age of zooplankton.