文档介绍：Population Dynamics Models in Plant–Insect Herbivore–Pesticide
Interactions
. Adams∗, . Banks∗, . Banks†, and . Stark‡
March 12, 2003, revised August 20, 2003
∗Center for Research in putation and Department of Mathematics, North Carolina State University,
Box 8205, Raleigh, NC, 27695.
†Interdisciplinary Arts & Sciences, University of Washington, a, merce Street, a, WA, 98402.
‡Department of Entomology, Washington State University, 7612 Pioneer Way East, Puyallup, WA, 98371.
Abstract
We consider several population dynamics models in investigating data from controlled experiments with
aphids in oli 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 putations along with
statistical analysis pare autonomous versus nonautonomous 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 bine a priori
biological hypothesis and intuition with rather sophisticated (from a field biology viewpoint) mathematical
methodologies to suggest synergisms.
1 Introduction
Ecologists interested in issues including insect pest control and preservation of rare species study the effects
of various types of disturbances on insect populations. Historically, disturbances such as introduction of
natural enemies, vegetation diversity, and traditional pesticides have each been considered independently.
Often however, introduction of habitat diversity or natural enemies proves inadequate as a single control
on insect herbivore populations. Furthermore, risks associated with traditional pesticides often make their
use undesirable. We report here on a previous field study that explores bined effect of vegetation
diversity and chemical intervention, and offer new mathematical observations ba