Effects on the 5 Dynamics of Plant – Herbivore 6 Models with Monotonic Plant 7 Growth Functions
نویسنده
چکیده
We formulate general plant–herbivore interaction models with monotone plant growth 21 functions (rates). We study the impact of monotone plant growth functions in general 22 plant–herbivore models on their dynamics. Our study shows that all monotone plant 23 growth models generate a unique interior equilibrium and they are uniform persistent 24 under certain range of parameters values. However, if the attacking rate of herbivore is 25 too small or the quantity of plant is not enough, then herbivore goes extinct. Moreover, 26 these models lead to noise sensitive bursting which can be identified as a dynamical 27 mechanism for almost periodic outbreaks of the herbivore infestation. Montone and 28 non-monotone plant growth models are contrasted with respect to bistability and crises 29 of chaotic attractors. 30
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Noise and seasonal effects on the dynamics of plant-herbivore models with monotonic plant growth functions
We formulate general plant-herbivore interaction models with monotone plant growth functions (rates). We study the impact of monotone plant growth functions in general plant-herbivore models on their dynamics. Our study shows that all monotone plant growth models generate a unique interior equilibrium and they are uniform persistent under certain range of parameters values. However, if the atta...
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