Analysis of a Length-Structured Density-Dependent Model for Fish.
Animals
Bass
/ growth & development
Biomass
Computer Simulation
Female
Fertility
Fishes
/ growth & development
Introduced Species
/ statistics & numerical data
Male
Mathematical Concepts
Models, Biological
Nonlinear Dynamics
Population Density
Population Dynamics
/ statistics & numerical data
Population Growth
Density dependence
Equilibria
Fish populations
Population dynamics
Stability
Journal
Bulletin of mathematical biology
ISSN: 1522-9602
Titre abrégé: Bull Math Biol
Pays: United States
ID NLM: 0401404
Informations de publication
Date de publication:
10 2019
10 2019
Historique:
received:
28
11
2018
accepted:
11
07
2019
pubmed:
25
7
2019
medline:
11
2
2021
entrez:
24
7
2019
Statut:
ppublish
Résumé
We present a length-structured matrix model for fish populations in which the probability that a fish grows into the next length class is a decreasing nonlinear function of the total biomass of the population. We present mathematical results classifying the dynamics that this density-dependent model predicts. We illustrate these results with numerical simulations for an invasive white perch population and show how the mathematical results can be used to predict the persistence and/or boundedness of the population as well as an equilibrium structure that is dominated by small fish. We illustrate the results with management recommendations for an invasive white perch population.
Identifiants
pubmed: 31332599
doi: 10.1007/s11538-019-00648-3
pii: 10.1007/s11538-019-00648-3
doi:
Types de publication
Journal Article
Research Support, U.S. Gov't, Non-P.H.S.
Langues
eng
Sous-ensembles de citation
IM
Pagination
3732-3753Commentaires et corrections
Type : ErratumIn
Références
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