Abstract In this paper, a stochastic diseased predator system with modified LG-Holling type II functional response is studied. By It o ^ ’s formula, stochastic comparison principle and other mathematical analysis skills, the existence and uniqueness of global positive solution of the system are obtained. Furthermore, the extinction or persistence in the mean of each specie in the system is discussed for different cases of parameters. In the end, some numerical simulations are carried out to support our theoretical results, such as the time series for the extinction almost surely, persistence in the mean and histogram of the coexistence and so on.

中文翻译：

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具有改良 LG-Holling II 型功能反应的随机患病捕食者系统

摘要 本文研究了一种具有改良LG-Holling II 型功能反应的随机患病捕食者系统。通过It o ^ 公式、随机比较原理等数学分析技巧，得到系统全局正解的存在唯一性。此外，针对不同情况的参数讨论了系统中每个物种的平均消亡或持久性。最后，进行了一些数值模拟来支持我们的理论结果，例如几乎可以肯定灭绝的时间序列，均值的持久性和共存的直方图等。