论文标题
生态流动性模型的随机扰动
Random perturbations of an eco-epidemiological model
论文作者
论文摘要
我们考虑一般生态流行病学模型的随机扰动。我们证明了一个全球随机吸引子的存在，易感猎物的持久性，并为感染和捕食者同时灭绝提供了条件。我们还讨论了相应的随机流行病学$ SI $和Predator-Prey模型的动力学。在这种情况下，我们获得了全球随机吸引子，证明了易感/猎物的流行率，并为感染/捕食者的灭绝提供了条件。
We consider random perturbations of a general eco-epidemiological model. We prove the existence of a global random attractor, the persistence of susceptibles preys and provide conditions for the simultaneous extinction of infectives and predators. We also discuss the dynamics of the corresponding random epidemiological $SI$ and predator-prey models. We obtain for this cases a global random attractor, prove the prevalence of susceptibles/preys and provide conditions for the extinctions of infectives/predators.
