Effects of toxicants on populations: a qualitative approach II. First order kinetics
type: Item
instance of: scholarly article
title: Effects of toxicants on populations: a qualitative approach II. First order kinetics
zbMATH Open document ID: 0548.92019
DOI: 10.1007/BF00275908
author: C. E. Clark
author: G. S. Jordan
author: Thomas G. Hallam
published in: Journal of Mathematical Biology
publication date: 1983-01-01T00:00:00Z
review text: [For part I see the preceding review, Zbl 0548.92018.] The effects of a chronic or of an acute dose of a toxicant in the environment on a population is studied by formulating a mathematical model. The state variables of the model are the concentration of toxicant in the environment of the population, the concentration of toxicant in an organism and the population biomass. It is assumed a logistic population model, a toxicant uptake from the environment following first order kinetics, and a linear dose-response function describing the toxicant- population interaction. In terms of the model parameter it is phrased whether the population is persistent or goes to extinction. For a special case of the model for which no organismic concentration loss to environment and no environmental degeneration of toxicant are assumed it is shown for the case of acute dosage of toxicant that there is a threshold value of terminal organismic concentration, dependent on the dose-response formulation, which determines persistence or extinction of the population.
reviewed by: J.Peil
Mathematics Subject Classification ID: 92D40
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 93C15
zbMATH DE Number: 3875037
zbMATH Keywords: concentration of toxicant
zbMATH Keywords: logistic population model
zbMATH Keywords: first order kinetics
zbMATH Keywords: linear dose-response function
zbMATH Keywords: toxicant-population interaction
zbMATH Keywords: extinction
zbMATH Keywords: persistence
Wikidata QID: Q52711306
MaRDI profile type: Publication
cites work: Q5533446
cites work: Q3340544
cites work: Q5569338
full work available at URL: https://doi.org/10.1007/bf00275908
OpenAlex ID: W2038169529
description: scientific article; zbMATH DE number 3875037