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Mathematical Models of Plant-Herbivore Interactions

  • Presents mathematical models for population dynamics in ecology
  • Incorporates applications to real ecosystems in which the mathematics is illustrative but not overly technical
  • Focuses on modelling plant-herbivore interactions, particularly as influenced by plant defence
  • Explores ecosystem consequences of herbivore browsing strategies in response to plant defence and predators
  • Provides Mathematica notebooks that help visualise model outcomes to facilitate communication between modellers and policymakers

Series: Chapman & Hall/CRC Mathematical and Computational Biology

By: Zhilan Feng(Author), Donald L DeAngelis(Author)

248 pages, 27 b/w photos, 137 b/w illustrations, 9 tables

Productivity Press

Hardback | Aug 2017 | #235791 | ISBN-13: 9781498769174
Availability: Usually dispatched within 5 days Details
NHBS Price: £69.99 $90/€78 approx

About this book

Mathematical Models of Plant-Herbivore Interactions addresses mathematical models in the study of practical questions in ecology, particularly factors that affect herbivory, including plant defence, 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 modelling to investigate the effects of plant defences on plant-herbivore dynamics, this book describes a toxin-determined functional response model that helps explains field observations of these interactions.

This book is intended for graduate students and researchers interested in mathematical biology and ecology.


Part I. Basic Theory and Simple Models
- Introduction
- Predator-prey interactions
- Overview of some results of plant-herbivore models
- Models with Toxin-Determined Functional Response

Part II. Applications
- Plant quality and plant defences: Parallels and differences
- Herbivore strategies: the role of plant quality and defences
- Plant toxins, Food Chains, and Ecosystems
- Fire, Herbivory, Tree Chemical Defense, and Spatial Patterns in the Boreal Forest
- Example of Mathematica Notebooks

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Zhilan Feng is a Professor of Mathematics at Purdue University. She is an editor for Journal of Theoretical Biology, Mathematical Biosciences, Mathematical Biosciences and Engineering, and SIAM Journal on Applied Mathematics.

Donald L. DeAngelis is a Senior Scientist with the US U. S. Geological Survey and Adjunct Professor at the University of Miami. He is subject editor for Ecosystems and Mathematical Biosciences.

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