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

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

35 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
Externally published	Yes

ASJC Scopus subject areas

Ecology, Evolution, Behavior and Systematics

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10.1016/0040-5809(86)90038-9

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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.",

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year = "1986",

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PY - 1986/12

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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.

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UR - https://www.scopus.com/pages/publications/38249039857#tab=citedBy

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

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

M3 - Article

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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

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