Persistence and coexistence in zooplankton-phytoplankton-nutrient models with instantaneous nutrient recycling
type: Item
instance of: scholarly article
title: Persistence and coexistence in zooplankton-phytoplankton-nutrient models with instantaneous nutrient recycling
zbMATH Open document ID: 0779.92021
DOI: 10.1007/BF00161202
author: Shigui Ruan
published in: Journal of Mathematical Biology
publication date: 1993-09-07T00:00:00Z
review text: Plankton-nutrient interaction models consisting of phytoplankton, herbivorous zooplankton and dissolved limiting nutrient with general nutrient uptake functions and instantaneous nutrient recycling are considered. For the model with constant nutrient input and different constant washout rates, conditions for boundedness of the solutions, existence and stability of non-negative equilibria, as well as persistence are given. Zooplankton-phytoplankton-nutrient interaction models with a fluctuating nutrient input and with a periodic washout rate are also considered, respectively. It is shown that coexistence of the zooplankton and phytoplankton may arise due to positive bifurcating periodic solutions.
Mathematics Subject Classification ID: 92D40
zbMATH DE Number: 410100
zbMATH Keywords: zooplankton-phytoplankton-nutrient interaction models
zbMATH Keywords: herbivorous zooplankton
zbMATH Keywords: dissolved limiting nutrient
zbMATH Keywords: general nutrient uptake functions
zbMATH Keywords: instantaneous nutrient recycling
zbMATH Keywords: boundedness
zbMATH Keywords: existence and stability of non-negative equilibria
zbMATH Keywords: persistence
zbMATH Keywords: fluctuating nutrient input
zbMATH Keywords: coexistence
zbMATH Keywords: positive bifurcating periodic solutions
reviewed by: Yasuo Sugai
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf00161202
OpenAlex ID: W2059018964
description: scientific article; zbMATH DE number 410100