The present study formulates a stochastic predator–prey model with infected prey and regime-switching, and shows that the model has a unique stable non-boundary invariant measure which is ergodic. The theoretical results are also utilized to explore the evolution of red grouse Lagopus lagopus scoticus and fox in Scotland.

中文翻译：

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带有感染猎物的随机混合捕食者-猎物模型的不变测度

本研究制定了一个随机捕食者-猎物模型，该模型具有受感染的猎物和政权转换，并表明该模型具有独特的稳定非边界不变测度，该测度是遍历的。理论结果也用于探索苏格兰红松鸡Lagopus lagopus scoticus和狐狸的进化。