Analysis of steady-state populations with the gamma abundance model: application to Tribolium

Research output: Contribution to journalArticle

40 Citations (Scopus)

Abstract

A model for the abundance of adult populations of Tribolium is in the form of a stochastic differential equation containing adult recruitment and mortality rates perturbed by multiplicative noise. A deterministic version of the model (an ordinary differential equation) predicts a fixed, stable equilibrium; the stochastic model predicts a stationary probability distribution for population size. The model can be approximated closely by a stochastic logistic equation having a gamma distribution as a stationary solution. -from Authors

Original languageEnglish (US)
Pages (from-to)1200-1213
Number of pages14
JournalEcology
Volume69
Issue number4
StatePublished - 1988
Externally publishedYes

Fingerprint

probability distribution
population size
logistics
mortality
analysis
distribution

ASJC Scopus subject areas

  • Ecology

Cite this

Analysis of steady-state populations with the gamma abundance model : application to Tribolium. / Dennis, B.; Costantino, Robert F.

In: Ecology, Vol. 69, No. 4, 1988, p. 1200-1213.

Research output: Contribution to journalArticle

@article{c8b9ebc05b62445c8acd2c5157875c19,
title = "Analysis of steady-state populations with the gamma abundance model: application to Tribolium",
abstract = "A model for the abundance of adult populations of Tribolium is in the form of a stochastic differential equation containing adult recruitment and mortality rates perturbed by multiplicative noise. A deterministic version of the model (an ordinary differential equation) predicts a fixed, stable equilibrium; the stochastic model predicts a stationary probability distribution for population size. The model can be approximated closely by a stochastic logistic equation having a gamma distribution as a stationary solution. -from Authors",
author = "B. Dennis and Costantino, {Robert F}",
year = "1988",
language = "English (US)",
volume = "69",
pages = "1200--1213",
journal = "Ecology",
issn = "0012-9658",
publisher = "Ecological Society of America",
number = "4",

}

TY - JOUR

T1 - Analysis of steady-state populations with the gamma abundance model

T2 - application to Tribolium

AU - Dennis, B.

AU - Costantino, Robert F

PY - 1988

Y1 - 1988

N2 - A model for the abundance of adult populations of Tribolium is in the form of a stochastic differential equation containing adult recruitment and mortality rates perturbed by multiplicative noise. A deterministic version of the model (an ordinary differential equation) predicts a fixed, stable equilibrium; the stochastic model predicts a stationary probability distribution for population size. The model can be approximated closely by a stochastic logistic equation having a gamma distribution as a stationary solution. -from Authors

AB - A model for the abundance of adult populations of Tribolium is in the form of a stochastic differential equation containing adult recruitment and mortality rates perturbed by multiplicative noise. A deterministic version of the model (an ordinary differential equation) predicts a fixed, stable equilibrium; the stochastic model predicts a stationary probability distribution for population size. The model can be approximated closely by a stochastic logistic equation having a gamma distribution as a stationary solution. -from Authors

UR - http://www.scopus.com/inward/record.url?scp=0024179679&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0024179679&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0024179679

VL - 69

SP - 1200

EP - 1213

JO - Ecology

JF - Ecology

SN - 0012-9658

IS - 4

ER -