Dynamics of a plant-herbivore model with applications to gypsy moth outbreaks
نویسندگان
چکیده
We formulate a novel host parasite model to study the dynamics of the outbreak of the gypsy moths. Assuming a Ricker dynamics for the host population and an infestation that takes place after the growth limitations take effect in the plant dynamics, a two dimensional discrete model of the leaf mass and the gypsy moths mass is constructed. The parameter space is determined by the growth rate of the host population and a parameter describing the damage done by a gypsy moth. Bifurcation curves in that parameter space are presented. Bistability and a crises of a strange attractor suggest two control strategies: Reducing the population of the gypsy moths under some threshold or increasing the growth rate of the plant leaves.
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