Population Dynamics Models in Plant-Insect Herbivore-Pesticide Interactions

B. M. Adams; H. T. Banks; John E. Banks; John D. Stark

doi:10.1016/j.mbs.2004.09.001

Population Dynamics Models in Plant-Insect Herbivore-Pesticide Interactions

B. M. Adams, H. T. Banks, John E. Banks, John D. Stark

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

Abstract

We consider several population dynamics models in investigating data from controlled experiments with aphids in broccoli patches surrounded by different margin types (bare or weedy ground) and three levels of insecticide spray (no, light, or heavy spray). We carry out parameter estimation computations along with statistical analysis to compare autonomous versus non-autonomous model dynamics. We conclude with a brief discussion of some not-so-subtle pitfalls that can arise when using quantitative measures of model fit-to-data to make biological inferences as well as offer a positive example of how one might combine a priori biological hypothesis and intuition with rather sophisticated (from a field biology viewpoint) mathematical methodologies to suggest synergisms. (c) 2005 Elsevier Inc. All rights reserved.

Original language	American English
Journal	Mathematical Biosciences
Volume	196
DOIs	https://doi.org/10.1016/j.mbs.2004.09.001
State	Published - Jul 1 2005
Externally published	Yes

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title = "Population Dynamics Models in Plant-Insect Herbivore-Pesticide Interactions",

abstract = " We consider several population dynamics models in investigating data from controlled experiments with aphids in broccoli patches surrounded by different margin types (bare or weedy ground) and three levels of insecticide spray (no, light, or heavy spray). We carry out parameter estimation computations along with statistical analysis to compare autonomous versus non-autonomous model dynamics. We conclude with a brief discussion of some not-so-subtle pitfalls that can arise when using quantitative measures of model fit-to-data to make biological inferences as well as offer a positive example of how one might combine a priori biological hypothesis and intuition with rather sophisticated (from a field biology viewpoint) mathematical methodologies to suggest synergisms. (c) 2005 Elsevier Inc. All rights reserved.",

author = "Adams, {B. M.} and Banks, {H. T.} and Banks, {John E.} and Stark, {John D.}",

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AU - Adams, B. M.

AU - Banks, H. T.

AU - Banks, John E.

AU - Stark, John D.

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N2 - We consider several population dynamics models in investigating data from controlled experiments with aphids in broccoli patches surrounded by different margin types (bare or weedy ground) and three levels of insecticide spray (no, light, or heavy spray). We carry out parameter estimation computations along with statistical analysis to compare autonomous versus non-autonomous model dynamics. We conclude with a brief discussion of some not-so-subtle pitfalls that can arise when using quantitative measures of model fit-to-data to make biological inferences as well as offer a positive example of how one might combine a priori biological hypothesis and intuition with rather sophisticated (from a field biology viewpoint) mathematical methodologies to suggest synergisms. (c) 2005 Elsevier Inc. All rights reserved.

AB - We consider several population dynamics models in investigating data from controlled experiments with aphids in broccoli patches surrounded by different margin types (bare or weedy ground) and three levels of insecticide spray (no, light, or heavy spray). We carry out parameter estimation computations along with statistical analysis to compare autonomous versus non-autonomous model dynamics. We conclude with a brief discussion of some not-so-subtle pitfalls that can arise when using quantitative measures of model fit-to-data to make biological inferences as well as offer a positive example of how one might combine a priori biological hypothesis and intuition with rather sophisticated (from a field biology viewpoint) mathematical methodologies to suggest synergisms. (c) 2005 Elsevier Inc. All rights reserved.

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DO - 10.1016/j.mbs.2004.09.001

M3 - Article

VL - 196

JO - Mathematical Biosciences

JF - Mathematical Biosciences

ER -

Population Dynamics Models in Plant-Insect Herbivore-Pesticide Interactions

Abstract

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