宁夏大学学报（自然科学版中英文）2026，Vol.47Issue(2)：104-115,12.DOI:10.20176/j.cnki.nxdz.20260202
年龄-环境耦合的两阶段结核病传播动力学模型的稳定性与预设目标控制
The Stability and Preset Target Control of a Two-Stage Tuberculosis Transmission Dynamical Model Coupled With Age and Environment
摘要
Abstract
By incorporating both the age structure of the susceptible population and Mycobacterium tuberculosis in environment,we construct a two-stage dynamical model of tuberculosis transmission and systematically ana-lyze its stability.A preset target control strategy is further developed.First,we derive an explicit expression for the basic reproduction number and prove the globally asymptotic stability of both the disease-free and endemic equilibria using Lyapunov theory.Next,we formulate and solve a preset-target control problem that treats vaccination and the DOTS(directly observed treatment,short-course)strategy as control variables.Numerical simulations show that the combined implementation of vaccination and DOTS can maintain the num-ber of active TB cases below the preset target and yields a significantly higher infection-avoidance rate than either measure used alone,providing a theoretical basis for optimizing tuberculosis prevention and control strate-gies.关键词
结核病/动力学模型/基本再生数/稳定性/预设目标控制Key words
tuberculosis/dynamical model/basic reproduction number/stability/preset target control分类
数理科学引用本文复制引用
胡鹏成,曹博强,亢婷,王青云..年龄-环境耦合的两阶段结核病传播动力学模型的稳定性与预设目标控制[J].宁夏大学学报（自然科学版中英文）,2026,47(2):104-115,12.基金项目
国家自然科学基金资助项目(12302017,12201330) （12302017,12201330）
宁夏自然科学基金资助项目(2024AAC03001,2025AAC030001) （2024AAC03001,2025AAC030001）
