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Author Feng, Zhilan, author

Title Mathematical models of plant-herbivore interactions / Zhilan Feng, Donald L. DeAngelis
Edition First edition
Published Boca Raton, FL : CRC Press, 2018


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 plant-herbivore 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 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
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
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
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 ; Bifurcation analysis ; 4.1.3 Dynamics for non-constant browsing preference
Summary "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
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
Animal-plant relationships.
Rejuvenescence (Botany)
NATURE -- Ecology.
NATURE -- Environmental Conservation & Protection.
SCIENCE -- Life Sciences -- Botany.
Animal-plant relationships
Predation (Biology) -- Mathematical models
Rejuvenescence (Botany)
Mathematisches Modell
Form Electronic book
Author DeAngelis, D. L. (Donald Lee), 1944- author.
ISBN 9781315154138