Dynamics of a plant-herbivore model |
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Authors: | Kang Yun Armbruster Dieter Kuang Yang |
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Institution: | Department of Mathematics and Statistics, Arizona State University, Tempe, AZ, USA. |
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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. |
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