Dynamics of a plant-herbivore model.

  title={Dynamics of a plant-herbivore model.},
  author={Yun Kang and Dieter Armbruster and Yang Kuang},
  journal={Journal of biological dynamics},
  volume={2 2},
We formulate a simple host-parasite type model to study the interaction of certain plants and herbivores. Our two-dimensional discrete-time model utilizes leaf and herbivore biomass as state variables. The parameter space consists of the growth rate of the host population and a parameter describing the damage inflicted by herbivores. We present insightful bifurcation diagrams in that parameter space. Bistability and a crisis of a strange attractor suggest two control strategies: reducing the… CONTINUE READING

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Matrix Population Models: Construction

H. Caswell
Analysis and Interpretation, 2nd ed., Sinauer Associates Inc., USA • 2006
View 1 Excerpt

Introduction to applied nonlinear dynamical systems and chaos

S. Wiggins
2nd ed., Springer, New York • 2002
View 1 Excerpt

The theory and classification of out-breaks

A. A. Berryman
Insect Outbreaks, P. Barbosa and J.C. Schultz, eds., Academic Press, New York • 1987
View 1 Excerpt

Herbivory: The Dynamics of Animal? Plant Interactions

M. J Crawley
University of California Press, Los Angeles, CA, USA • 1983
View 1 Excerpt

Density dependence in host-parasitoid models

R. M. May
J. Animal Ecol. 50 • 1981
View 1 Excerpt

Density-dependence in single-species populations of plants

A. R. Watkinson
J. Theor. Biol. 83 • 1980
View 1 Excerpt

The ecological and genetic consequences of density-dependent regulation in plants

J. Antonovics, D. A. Levin
Annu. Rev. Ecol. Syst. 11 • 1980
View 1 Excerpt

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