### 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 language | English (US) |
---|---|

Pages (from-to) | 1200-1213 |

Number of pages | 14 |

Journal | Ecology |

Volume | 69 |

Issue number | 4 |

State | Published - 1988 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Ecology

### Cite this

*Ecology*,

*69*(4), 1200-1213.

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

Research output: Contribution to journal › Article

*Ecology*, vol. 69, no. 4, pp. 1200-1213.

}

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 -