吉林大学学报（理学版）2026，Vol.64Issue(1)：49-61,13.DOI:10.13413/j.cnki.jdxblxb.2025144
一类基于高斯白噪声的随机SEIQR猴痘传播模型
A Class of Stochastic SEIQR Monkeypox Propagation Models Based on Gaussian White Noise
摘要
Abstract
We considered a stochastic SEIQR monkeypox epidemic model with Gaussian white noise.Firstly,the existence and uniqueness of the global positive solution for the stochastic model were proved by using stopping time theory.By constructing a Lyapunov function and combining it with Itô formula,the asymptotic behavior of the solutions of stochastic model near the disease-free equilibrium point and endemic equilibrium point of the corresponding deterministic model was given.Secondly,we gave conditions for the average persistence of the solutions and disease extinction of the stochastic model.Finally,numerical simulations were conducted to examine the impact of noise on the model.The results show that the stochastic model perturbs near the equilibrium point of the deterministic model,and the degree of perturbation is positively correlated with the noise intensity.When the noise is sufficiently large,the disease will become extinct.关键词
猴痘传染病模型/Itô公式/随机效应/持久性/灭绝性Key words
monkeypox epidemic model/Itô formula/random effect/persistence/extinction分类
数理科学引用本文复制引用
吴文哲,张太雷..一类基于高斯白噪声的随机SEIQR猴痘传播模型[J].吉林大学学报（理学版）,2026,64(1):49-61,13.基金项目
陕西省自然科学基础研究计划项目(批准号:2025JC-YBMS-004). （批准号:2025JC-YBMS-004）
