带有隔离的COVID-19随机SQIR模型研究

A Stochastic SQIR Model with Isolation for COVID-19

本文考虑一类受环境噪声影响,带有隔离的COVID-19随机SQIR传染病模型.通过构造Lyapunov函数并利用It?公式,证明全局正解的存在唯一性;得到决定疾病灭绝、持久和遍历平稳分布的充分条件.结果表明:环境变化在一定条件下会对疾病起抑制作用.最后,通过数值模拟来验证理论结果的正确性.

We considered a class of stochastic SQIR model with isolation for COVID-19 by white noise in the environment.By constructing Lyapunov function and applying Itˆo’s formula,the global existence and uniqueness of positive solution are proved,the sufficient conditions which determines disease extinction,permanence and ergodic stationary distribution are obtained.The results show that environmental changes can inhibit the disease under certain conditions.Finally,Matlab is used for numerical simulation to illustrate the correctness of the theoretical results.