An interdisciplinary approach to understanding nonlinear ecological dynamics

J. M. Cushing; Brian Dennis; Robert A. Desharnais; R. F. Costantino

doi:10.1016/0304-3800(95)00170-0

An interdisciplinary approach to understanding nonlinear ecological dynamics

J. M. Cushing, Brian Dennis, Robert A. Desharnais, R. F. Costantino

Mathematics

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

43 Scopus citations

Abstract

We describe a research program which covers a spectrum of activities essential to testing nonlinear population theory: from the translation of the biology into the formal language of mathematics, to the analysis of mathematical models, to the development and application of statistical techniques for the analysis of data, to the design and implementation of biological experiments. The statistical analyses, mathematics, and biology are thoroughly integrated. We review several aspects of our current research effort that demonstrate this integration.

Original language	English (US)
Pages (from-to)	111-119
Number of pages	9
Journal	Ecological Modelling
Volume	92
Issue number	2-3
DOIs	https://doi.org/10.1016/0304-3800(95)00170-0
State	Published - Dec 1 1996

Keywords

Bifurcation
Chaos
Insects
Nonlinear dynamics
Stability
Statistical models

ASJC Scopus subject areas

Ecological Modeling
Ecology

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10.1016/0304-3800(95)00170-0

Cite this

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title = "An interdisciplinary approach to understanding nonlinear ecological dynamics",

abstract = "We describe a research program which covers a spectrum of activities essential to testing nonlinear population theory: from the translation of the biology into the formal language of mathematics, to the analysis of mathematical models, to the development and application of statistical techniques for the analysis of data, to the design and implementation of biological experiments. The statistical analyses, mathematics, and biology are thoroughly integrated. We review several aspects of our current research effort that demonstrate this integration.",

keywords = "Bifurcation, Chaos, Insects, Nonlinear dynamics, Stability, Statistical models",

author = "Cushing, {J. M.} and Brian Dennis and Desharnais, {Robert A.} and Costantino, {R. F.}",

note = "Funding Information: This work was supported in part by U.S. National Science Foundation grants DMS-9206678, DMS-930627 1, and DMS-93 19073.",

year = "1996",

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AU - Cushing, J. M.

AU - Dennis, Brian

AU - Desharnais, Robert A.

AU - Costantino, R. F.

N1 - Funding Information: This work was supported in part by U.S. National Science Foundation grants DMS-9206678, DMS-930627 1, and DMS-93 19073.

PY - 1996/12/1

Y1 - 1996/12/1

N2 - We describe a research program which covers a spectrum of activities essential to testing nonlinear population theory: from the translation of the biology into the formal language of mathematics, to the analysis of mathematical models, to the development and application of statistical techniques for the analysis of data, to the design and implementation of biological experiments. The statistical analyses, mathematics, and biology are thoroughly integrated. We review several aspects of our current research effort that demonstrate this integration.

AB - We describe a research program which covers a spectrum of activities essential to testing nonlinear population theory: from the translation of the biology into the formal language of mathematics, to the analysis of mathematical models, to the development and application of statistical techniques for the analysis of data, to the design and implementation of biological experiments. The statistical analyses, mathematics, and biology are thoroughly integrated. We review several aspects of our current research effort that demonstrate this integration.

KW - Bifurcation

KW - Chaos

KW - Insects

KW - Nonlinear dynamics

KW - Stability

KW - Statistical models

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ER -

An interdisciplinary approach to understanding nonlinear ecological dynamics

Abstract

Keywords

ASJC Scopus subject areas

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