A phenomenon of the noise-induced oscillatory transitions in a predator-prey model of Leslie type with generalized Holling type III functional response is studied. The original deterministic model can exhibit different kinds of phase portraits (one, two or three stable states) for various parameter values. When the predator-prey model is subjected to environmental noise, we find that the stochastic trajectory started near one of the deterministic attractors may experience the oscillatory transitions between different zones. To reveal the probabilistic mechanisms of the noise-induced transitions, we construct the confidence domains of stochastic attractors by applying the technique of stochastic sensitivity functions. It is showed that increasing the noise intensity results in an intersection between different confidence domains, and then the phenomenon of oscillatory transitions can occur.

研究了具有广义Holling III型功能响应的Leslie型捕食者-食饵模型中噪声诱发的振荡跃迁现象。原始的确定性模型可以针对各种参数值显示不同种类的相像（一个，两个或三个稳定状态）。当捕食者－猎物模型受到环境噪声的影响时，我们发现，在确定性吸引子之一附近开始的随机轨迹可能会经历不同区域之间的振荡转变。为了揭示噪声引起的跃迁的概率机制，我们通过应用随机敏感性函数的技术来构造随机吸引子的置信域。结果表明，增加噪声强度会导致不同置信域之间的交集，