基于随机年龄结构的HIV感染模型的动力学行为
The Dynamical Behavior of HIV Models Based on Age Structure
常康康 1张秦 1何梦颖1
作者信息
- 1. 新乡学院 数学与统计学院,河南 新乡 453003
- 折叠
摘要
研究了一类基于随机年龄结构的HIV感染模型,利用欧拉法对连续年龄结构进行了离散,将模型转化为线性偏微分方程.利用谱近似理论求出了转化后方程下一代矩阵的最大特征值,精确估计了模型的基本再生数.利用Mat-lab软件进行了数值模拟,研究了不同参数下HIV的传播情况,通过与实际情况比对验证了模拟方法的可行性和可靠性.
Abstract
A class of HIV infection model based on random age structure is studied.The continuous age structure is discretized by Euler method,and the model is transformed into a linear partial differential equation.The maximum eigenvalue of the next generation matrix of the transformed equation is obtained by spectral approximation theory,and the basic regeneration number of the model is estimated accurately.The numerical simulation is carried out with Matlab software to study the transmission of HIV under different parameters,and the feasibility and reliability of the simulation method are verified by comparing with the actual situation.
关键词
随机年龄结构/HIV感染模型/欧拉法/谱近似理论/基本再生数Key words
random age structure/HIV Infection model/Euler method/spectral approximation theory/basic regeneration number引用本文复制引用
基金项目
河南省高等学校重点科研项目(24B110015)
河南省大学生创新创业训练计划项目(202311071022)
出版年
2024
NETL
NSTL
万方数据