The dynamics of plant-herbivore interactions and their implications for spatial expansion. Yun Kang

ISBN: 9780549700586

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The dynamics of plant-herbivore interactions and their implications for spatial expansion.  by  Yun Kang

The dynamics of plant-herbivore interactions and their implications for spatial expansion. by Yun Kang
| NOOKstudy eTextbook | PDF, EPUB, FB2, DjVu, talking book, mp3, RTF | 130 pages | ISBN: 9780549700586 | 6.51 Mb

This dissertation investigates the population dynamics and spread of the gypsy moth population, which is a forest pest that was accidentally released near Boston in 1869, and now occupies more than 1,000,000 square kilometers of the northeastern United States.-A model of plant-herbivore interactions based on the nutrient recycling of the forest and the biological properties of the herbivore is constructed using a host-parasite model with density dependence acting before the parasite attack.

The dynamical behavior of the host and parasite populations as a function of the growth rate of the plant and the damage done by the parasite is studied. Bistability and a crisis of a strange attractor suggest two control strategies: Reducing the population of herbivores under some threshold (this suggests control procedures to reduce the herbivore population by actions such as spraying pesticides) or increasing the growth rate of the plant leaves (this could occur naturally under highly favorable growing conditions but could also be supported by fertilizing the plants).-A second part of this dissertation investigates the impact of monotone plant growth models in general plant-herbivore models on the dynamics of the plant-herbivore interaction.

It is shown that all monotone growth models generate a unique interior equilibrium. Monotone growth models with a single nonzero equilibrium of the plant population lead to noise sensitive bursting which is identified as a dynamical mechanism for almost periodic outbreaks of the herbivore infestation. Monotone and non-monotone plant growth models are contrasted with respect to bistability and crises of chaotic attractors.-A dynamical model generating bistability is used to study the behavior of the plant and herbivore populations in two identical coupled patches where one patch is infected with the herbivore and the other one is not.

The influence of the bistable dynamics on the spread of the infestation is considered. It is shown that an appropriate barrier (migration) between these two patches can regulate the population of herbivores in both patches under the bistability threshold, leading to an eventual extinction of the herbivore in both patches.



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