Stochastic models for toxicant-stressed populations
type: Item
instance of: scholarly article
title: Stochastic models for toxicant-stressed populations
zbMATH Open document ID: 0762.92020
DOI: 10.1007/BF02459932
author: T. C. Gard
published in: Bulletin of Mathematical Biology
publication date: 1992-09-27T00:00:00Z
review text: A stochastic analogue of the model of stressed population growth [see \textit{T. G. Hallam} and \textit{Ma Zhien}, J. Math. Biol. 24, 327-339 (1986; Zbl 0606.92022)] is presented. This is a generic model for the effects of toxicants on populations in random environments. The effect of the toxicant is considered as biased time-varying random adjustment to the population's intrinsic growth rate. The aim of the paper is to characterize persistence of the population under stress of the toxicant. Results are compared with those for deterministic models of Hallam and Ma Zhien.
reviewed by: Urszula Wilczyńska
Mathematics Subject Classification ID: 92D40
Mathematics Subject Classification ID: 92D25
zbMATH DE Number: 64376
zbMATH Keywords: existence of invariant distributions
zbMATH Keywords: stochastic growth models of Ito type
zbMATH Keywords: Stratonovich interpretation
zbMATH Keywords: stressed population growth
zbMATH Keywords: effects of toxicants
zbMATH Keywords: random environments
zbMATH Keywords: intrinsic growth rate
zbMATH Keywords: persistence
MaRDI profile type: Publication
Wikidata QID: Q52414491
cites work: Uniformly Persistent Systems
cites work: Q3764976
cites work: Persistence in population models with demographic fluctuations
cites work: The threshold of survival for systems in a fluctuating environment
cites work: Population growth in a time-varying environment
cites work: A nonautonomous model of population growth
cites work: On the Convergence of Ordinary Integrals to Stochastic Integrals
full work available at URL: https://doi.org/10.1007/bf02459932
OpenAlex ID: W4250731494
description: scientific article; zbMATH DE number 64376