An age-structured fish population model with coupled size and population density
type: Item
instance of: scholarly article
title: An age-structured fish population model with coupled size and population density
zbMATH Open document ID: 0624.92020
DOI: 10.1016/0025-5564(87)90061-7
author: Michael E. Fisher
published in: Mathematical Biosciences
publication date: 1987-01-01T00:00:00Z
review text: In this paper an age-structured fish population model in which fish size is included as a dynamic variable is formulated and analyzed. The main features of the model include size-dependent growth and mortality of young-of-the-year fish as well as size-related fecundity of adult females. The inclusion of cannibalism of young-of-the-year fish by yearlings, as it is represented in the model, can lead to some interesting stability behavior such as the existence of multiple equilibrium states. Depending on initial conditions, the population may evolve to either of two stable equilibrium states: one with relatively large numbers of small fish or one with relatively small numbers of large fish.
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 39A10
Mathematics Subject Classification ID: 39A11
zbMATH DE Number: 4014511
zbMATH Keywords: coupled size and population density
zbMATH Keywords: age-structured fish population model
zbMATH Keywords: size-dependent growth and mortality
zbMATH Keywords: size-related fecundity
zbMATH Keywords: cannibalism
zbMATH Keywords: stability behavior
zbMATH Keywords: existence of multiple equilibrium states
MaRDI profile type: Publication
full work available at URL: 0025-5564(87)90061-7
OpenAlex ID: W1998195249
cites work: Stability of a class of delay-difference equations
description: scientific article; zbMATH DE number 4014511