Description 
1 online resource (xix, 219 pages) : illustrations 
Series 
Chapman & Hall/CRC mathematical & computational biology 

Chapman & Hall/CRC mathematical & computational biology

Contents 
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 plantherbivore interactions; e.g., plant and herbivore diversity, types of herbivore feeding on plants 

1.2 Plant growth and allocation 1.3 Modeling herbivore foraging strategies ; 1.4 The consequences of herbivoreplant interactions ; Chapter 2. PredatorPrey Interactions; 2.1 Beginnings of predatorprey modeling ; 2.2 Derivation of the Holling type 2 and type 3 functional responses 

2.3 Incorporating the predator functional response into onepredator and oneprey equations 2.3.1 Equilibria of the oneprey onepredator 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 PlantHerbivore Models 

3.1 Introduction 3.1.1 Noninteractive ; 3.1.2 Interactive ; 3.2 The theory of topdown control ; 3.3 Paradox of enrichment ; 3.4 Collapse of a grazerplant system ; 3.5 Herbivore outbreaks ; 3.6 E ects of plant quality ; 3.7 Glossary ; Chapter 4. Models with ToxinDetermined Functional Response 

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 nonconstant browsing preference 
Summary 
"Mathematical Models of PlantHerbivore 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 plantherbivore dynamics, this book describes a toxindetermined 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 
Bibliography 
Includes bibliographical references and index 
Subject 
Plant defenses  Mathematical models


Plants  Disease and pest resistance  Mathematical models


Plant chemical defenses  Mathematical models


Predation (Biology)  Mathematical models


Herbivores.


Animalplant relationships.


Rejuvenescence (Botany)


NATURE  Ecology.


NATURE  Environmental Conservation & Protection.


SCIENCE  Life Sciences  Botany.


Animalplant relationships


Herbivores


Predation (Biology)  Mathematical models


Rejuvenescence (Botany)


Abwehrreaktion


Herbivoren


Mathematisches Modell


Pflanzen

Form 
Electronic book

Author 
DeAngelis, D. L. (Donald Lee), 1944 author.

ISBN 
9781315154138 

1315154137 

9781351650175 

1351650173 

1498769187 

9781498769181 

9781351640664 

1351640666 
