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
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 journal › Article
}
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 -