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Mathematical models of plant-herbivo...

DeAngelis, Donald L.

Mathematical models of plant-herbivore interactions

Record Type:	Electronic resources : Monograph/item
Title/Author:	Mathematical models of plant-herbivore interactionsZhilan Feng, Donald L. DeAngelis.
Author:	Feng, Zhilan,
other author:	DeAngelis, Donald L.
Published:	Boca Raton, FL :CRC Press, Taylor & Francis Group,c2018.
Description:	1 online resource :ill.
Notes:	"A Chapman & Hall book"--title page.
Subject:	Plant defensesMathematical models.
Online resource:	https://www.taylorfrancis.com/books/9781315154138
ISBN:	9781315154138$q(electronic bk.)

Mathematical models of plant-herbivore interactions
Feng, Zhilan,1959-

Mathematical models of plant-herbivore interactions[electronic resource] /Zhilan Feng, Donald L. DeAngelis. - 1st ed. - Boca Raton, FL :CRC Press, Taylor & Francis Group,c2018. - 1 online resource :ill. - Chapman & Hall/CRC mathematical and computational biology. - Chapman & Hall/CRC mathematical and computational biology..

"A Chapman & Hall book"--title page.

Includes bibliographical references (p. 193-216) and index.

Cover ; Half Title ; Aims and scope ; Published Titles ; Title ; Copy rights ; Dedication ; Contents; Foreword ; Preface ; List of Figures ; List of Tables ; Part I- Basic Theory and SimpleModels ; Chapter 1. Introduction ; 1.1 Types of plant-herbivore interactions ; e.g., plant and herbivore diversity, types of herbivore feeding on plants.

"Mathematical Models of Plant-Herbivore Interactions addresses mathematical models in the study of practical questions in ecology, particularly factors that affect herbivory, including plant defense, herbivore natural enemies, and adaptive herbivory, as well as the effects of these on plant community dynamics. The result of extensive research on the use of mathematical modeling to investigate the effects of plant defenses on plant-herbivore dynamics, this book describes a toxin-determined functional response model (TDFRM) that helps explains field observations of these interactions. This book is intended for graduate students and researchers interested in mathematical biology and ecology."--Provided by publisher.

ISBN: 9781315154138$q(electronic bk.)

Standard No.: 40027439764Subjects--Topical Terms:

837923
Plant defenses
--Mathematical models.

LC Class. No.: QK921

Dewey Class. No.: 581.4/7

Mathematical models of plant-herbivore interactions
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245 1 0 $a Mathematical models of plant-herbivore interactions $h [electronic resource] / $c Zhilan Feng, Donald L. DeAngelis.
250 $a 1st ed.
260 $a Boca Raton, FL : $b CRC Press, Taylor & Francis Group, $c c2018.
300 $a 1 online resource : $b ill.
490 1 $a Chapman & Hall/CRC mathematical and computational biology
500 $a "A Chapman & Hall book"--title page.
504 $a Includes bibliographical references (p. 193-216) and index.
505 0 $a Cover ; Half Title ; Aims and scope ; Published Titles ; Title ; Copy rights ; Dedication ; Contents; Foreword ; Preface ; List of Figures ; List of Tables ; Part I- Basic Theory and SimpleModels ; Chapter 1. Introduction ; 1.1 Types of plant-herbivore interactions ; e.g., plant and herbivore diversity, types of herbivore feeding on plants.
505 8 $a 1.2 Plant growth and allocation 1.3 Modeling herbivore foraging strategies ; 1.4 The consequences of herbivore-plant interactions ; Chapter 2. Predator-Prey Interactions ; 2.1 Beginnings of predator-prey modeling ; 2.2 Derivation of the Holling type 2 and type 3 functional responses.
505 8 $a 2.3 Incorporating the predator functional response into one-predator and one-prey equations 2.3.1 Equilibria of the one-prey one-predator system ; 2.4 Functional response for predation on two or more prey species ; 2.5 Stability of model equilibria ; Chapter 3. Overview of Some Results of Plant-Herbivore Models.
505 8 $a 3.1 Introduction 3.1.1 Non-interactive ; 3.1.2 Interactive ; 3.2 The theory of top-down control ; 3.3 Paradox of enrichment ; 3.4 Collapse of a grazer-plant system ; 3.5 Herbivore outbreaks ; 3.6 E ects of plant quality ; 3.7 Glossary ; Chapter 4. Models with Toxin-Determined Functional Response.
505 8 $a 4.1 A simple TDFRM with a single plant population 4.1.1 Derivation and emerging properties of the model ; 4.1.2 Dynamics for constant browsing preference ; 4.1.2.1 Bifurcation analysis ; 4.1.3 Dynamics for non-constant browsing preference.
520 2 $a "Mathematical Models of Plant-Herbivore Interactions addresses mathematical models in the study of practical questions in ecology, particularly factors that affect herbivory, including plant defense, herbivore natural enemies, and adaptive herbivory, as well as the effects of these on plant community dynamics. The result of extensive research on the use of mathematical modeling to investigate the effects of plant defenses on plant-herbivore dynamics, this book describes a toxin-determined functional response model (TDFRM) that helps explains field observations of these interactions. This book is intended for graduate students and researchers interested in mathematical biology and ecology."--Provided by publisher.
588 $a Description based on print version record.
650 0 $a Plant defenses $x Mathematical models. $3 837923
650 0 $a Plants $x Disease and pest resistance $x Mathematical models. $3 875288
650 0 $a Plant chemical defenses $x Mathematical models. $3 875289
650 0 $a Predation (Biology) $x Mathematical models. $3 875290
650 0 $a Herbivores. $3 323862
650 0 $a Animal-plant relationships. $3 195301
650 0 $a Rejuvenescence (Botany) $3 875291
700 1 $a DeAngelis, Donald L. $3 875286
830 0 $a Chapman & Hall/CRC mathematical and computational biology. $3 875287
856 4 0 $u https://www.taylorfrancis.com/books/9781315154138