吉林大学学报（理学版）2025，Vol.63Issue(2)：307-320,14.DOI:10.13413/j.cnki.jdxblxb.2024277
一类具有隔离的随机埃博拉传染病模型动力学分析
Dynamics Analysis of a Stochastic Ebola Infectious Disease Model with Isolation
摘要
Abstract
Using the theory of stochastic differential equations,we discussed an Ebola infectious disease model with isolated compartments and animal compartments.We gave the threshold between extinction and persistence of infected animals within the animal subsystem of the model,as well as the conditions for persistence of the disease in the overall animal-human system,and proved the existence of ergodic stationary distribution in the system.Finally,numerical simulations were conducted to validate the theoretical results.The results show that it can form endemic diseases when the disturbance intensity is small,and it can lead to the extinction of disease when the disturbance intensity is large enough.关键词
埃博拉病毒/Lyapunov函数/Itô公式/平稳分布Key words
Ebola virus/Lyapunov function/Itôformula/stationary distribution分类
数学引用本文复制引用
李录苹,孔丽丽,王晓玲,陈富..一类具有隔离的随机埃博拉传染病模型动力学分析[J].吉林大学学报（理学版）,2025,63(2):307-320,14.基金项目
国家自然科学基金(批准号:61823241)、山西省高等学校科技创新项目(批准号:2022L416)和大同市科技计划项目(批准号:2022056 （批准号:61823241）
2023061). （）
