噪声和季节对单调植物生长函数的植物-食草动物模型动力学的影响
Noise and seasonal effects on the dynamics of plant-herbivore models with monotonic plant growth functions
摘要：
我们制定一般的植物-草食动物相互作用模型与单调植物生长函数（率）。研究了一般植物-食草动物模型中单调植物生长函数对其动力学的影响。我们的研究表明，所有单调植物生长模型产生一个唯一的内部平衡点，它们是一致持久的{参数}值在一定范围内。但是，如果食草动物的攻击率太低或植物的数量不足，食草动物就会灭绝。此外，这些模型导致噪声敏感的爆发，可以确定为几乎周期性爆发的食草动物侵扰的动力学机制。比较了单调和非单调植物生长模型的双稳性和混沌吸引子的危机性。
英文摘要：
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 attacking rate of herbivore is too small or the quantity of plant is not enough, then herbivore goes extinct. Moreover, these models lead to noise sensitive bursting which can be 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.
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