Dynamics of a plant–herbivore model
Open Access
- 1 April 2008
- journal article
- research article
- Published by Taylor & Francis Ltd in Journal of Biological Dynamics
- Vol. 2 (2), 89-101
- https://doi.org/10.1080/17513750801956313
Abstract
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 population of the herbivore under some threshold or increasing the growth rate of the plant leaves.Keywords
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