The present paper deals with the problem of an ecoepidemiological model with linear mass-action functional response perturbed by white noise. The essential mathematical features are analyzed with the help of the stochastic stability, its long time behavior around the equilibrium of deterministic ecoepidemiological model, and the stochastic asymptotic stability by Lyapunov analysis methods. Numerical simulations for a hypothetical set of parameter values are presented to illustrate the analytical findings.

中文翻译：

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具有线性质量作用功能响应的捕食者与食饵系统的稳定性受到白噪声的干扰。

本文研究的是一种线性流行为白噪声扰动的线性线性作用的生态流行病学模型。利用随机稳定性，其在确定性流行病学模型平衡周围的长时间行为以及Lyapunov分析方法的随机渐近稳定性，分析了基本的数学特征。提出了一组假设参数值的数值模拟，以说明分析结果。