基于SI模型的病毒传播动力学分析
Dynamic Analysis of Virus Transmission Based on the SI Model
杨文杰 1宋文利 1郑前前1
作者信息
- 1. 许昌学院 数理学院,河南 许昌 461000
- 折叠
摘要
创建了SI传播动力学模型,重点讨论了系统平衡点的存在性和稳定性,并运用连续动态系统分岔理论,利用MATLAB软件对系统的分岔情况进行了深入分析,同时考察了参数变化对系统的影响.在数值模拟阶段,对具有Holling IV型功能反应的病毒传播系统进行了详细分析,研究了疾病传播的特点和演变规律.
Abstract
In this paper,a Susceptible-Infected(SI)model is developed,and the system's dynamic behav-ior is thoroughly analyzed.The investigation focuses on examining the existence and stability of the system's equilibrium point.Utilizing bifurcation theory pertinent to continuous dynamic systems,the system's bifurcation and the impact of parameter variations on the system are explored.Additionally,a virus transmission system characterized by a Holling type IV functional response is scrutinized through numerical simulations,and the evo-lutionary patterns of novel coronavirus pneumonia are explored in detail.
关键词
SI传染病模型/稳定性/分岔/常微分方程Key words
SI model/stability/bifurcation/ordinary differential equation引用本文复制引用
基金项目
许昌学院教研项目(XCU2023-YB-48)
河南省高等学校科技创新人才支持计划(22HASTIT018)
河南省高等学校重点科研项目(24B110017)
出版年
2024
NETL
NSTL
万方数据