Stoichiometric producer–grazer models are nonsmooth due to the Liebig’s Law of Minimum and can generate new dynamics such as bistability for producer–grazer interactions. Environmental noises can be extremely important and change dynamical behaviors of a stoichiometric producer–grazer model. In this paper, we consider a stochastically forced producer–grazer model and study the phenomena of noise-induced state switching between two stochastic attractors in the bistable zone. Namely, there is a frequent random hopping of phase trajectories between attracting basins of the attractors. In addition, by applying the stochastic sensitivity function technique, we construct the confidence ellipse and confidence band to find the configurational arrangement of equilibria and a limit cycle, respectively.

中文翻译：

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具有化学计量约束的非光滑生产者-格雷泽模型中的噪声引起的转变

由于李比希极小定律，化学计量的生产者-食草动物模型是不平滑的，并且可以产生新的动力学，例如生产者-食草动物相互作用的双稳态。环境噪声非常重要，会改变化学计量的生产者-食草动物模型的动态行为。在本文中，我们考虑了一个随机强迫的生产者-掠食者模型，并研究了双稳态区域中两个随机吸引子之间噪声引起的状态切换现象。即，在吸引子的吸引盆之间存在频繁的相位轨迹随机跳跃。此外，通过应用随机灵敏度函数技术，我们构建了置信椭圆和置信带，以分别找到平衡和极限环的配置排列。