Oscillatory population growth in periodic environments

J. M. Cushing

doi:10.1016/0040-5809(86)90038-9

Oscillatory population growth in periodic environments

J. M. Cushing

Mathematics

Research output: Contribution to journal › Article › peer-review

34 Scopus citations

Abstract

A general first-order nonlinear differential equation is derived for the dynamics of a population in such a way that the inherent growth rate r and the equilibrium "carrying capacity" K appear explicitly as parameters. By means of standard regular perturbation techniques, properties of the periodic asymptotic state of the population are studied under the assumption that r and K suffer periodic perturbations of small amplitude. Specific examples are studied analytically and numerically.

Original language	English (US)
Pages (from-to)	289-308
Number of pages	20
Journal	Theoretical Population Biology
Volume	30
Issue number	3
DOIs	https://doi.org/10.1016/0040-5809(86)90038-9
State	Published - Dec 1986

ASJC Scopus subject areas

Ecology, Evolution, Behavior and Systematics

Access to Document

10.1016/0040-5809(86)90038-9

Cite this

@article{a0659536952940419752d15f6fa956da,

title = "Oscillatory population growth in periodic environments",

abstract = "A general first-order nonlinear differential equation is derived for the dynamics of a population in such a way that the inherent growth rate r and the equilibrium {"}carrying capacity{"} K appear explicitly as parameters. By means of standard regular perturbation techniques, properties of the periodic asymptotic state of the population are studied under the assumption that r and K suffer periodic perturbations of small amplitude. Specific examples are studied analytically and numerically.",

author = "Cushing, {J. M.}",

year = "1986",

month = dec,

doi = "10.1016/0040-5809(86)90038-9",

language = "English (US)",

volume = "30",

pages = "289--308",

journal = "Theoretical Population Biology",

issn = "0040-5809",

publisher = "Academic Press Inc.",

number = "3",

}

TY - JOUR

T1 - Oscillatory population growth in periodic environments

AU - Cushing, J. M.

PY - 1986/12

Y1 - 1986/12

N2 - A general first-order nonlinear differential equation is derived for the dynamics of a population in such a way that the inherent growth rate r and the equilibrium "carrying capacity" K appear explicitly as parameters. By means of standard regular perturbation techniques, properties of the periodic asymptotic state of the population are studied under the assumption that r and K suffer periodic perturbations of small amplitude. Specific examples are studied analytically and numerically.

AB - A general first-order nonlinear differential equation is derived for the dynamics of a population in such a way that the inherent growth rate r and the equilibrium "carrying capacity" K appear explicitly as parameters. By means of standard regular perturbation techniques, properties of the periodic asymptotic state of the population are studied under the assumption that r and K suffer periodic perturbations of small amplitude. Specific examples are studied analytically and numerically.

UR - http://www.scopus.com/inward/record.url?scp=38249039857&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=38249039857&partnerID=8YFLogxK

U2 - 10.1016/0040-5809(86)90038-9

DO - 10.1016/0040-5809(86)90038-9

M3 - Article

AN - SCOPUS:38249039857

SN - 0040-5809

VL - 30

SP - 289

EP - 308

JO - Theoretical Population Biology

JF - Theoretical Population Biology

IS - 3

ER -

Oscillatory population growth in periodic environments

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this