应用数学2025，Vol.38Issue(3)：703-710,8.
两阶段分数阶羊布鲁氏菌病传播模型的非线性自适应控制
Nonlinear Adaptive Control of a Fractional-order Brucellosis Model with Two-Stage Structure
摘要
Abstract
A fractional-order sheep brucellosis dynamical model with two-stage structure is estab-lished by analyzing the transmission mechanism of sheep brucellosis and introducing three control variables(vaccination of susceptible adult sheep,disinfection of the environment and health education of susceptible humans).Then,the expressions of control variables are designed and the stability of error model is ana-lyzed by using the universal approximation principle of radial basis function neural networks.Additionally,the number of susceptible adult sheep,the brucella in the environment and susceptible humans can be kept close to the corresponding control targets based on the adaptive control method.Finally,the results of two numerical examples show that the proposed adaptive controllers can ensure the stability of the established control model and mixed control measures can effectively protect more people from brucellosis infection.关键词
分数阶布鲁氏菌病模型/两阶段结构/自适应控制/疫苗接种/消杀/健康教育Key words
Fractional-order brucellosis model/Two-stage structure/Adaptive control/Vaccina-tion/Disinfection/Health education分类
数学引用本文复制引用
曹博强,亢婷..两阶段分数阶羊布鲁氏菌病传播模型的非线性自适应控制[J].应用数学,2025,38(3):703-710,8.基金项目
宁夏自然科学基金(2023AAC03086) （2023AAC03086）
国家自然科学基金(12201330,12302017) （12201330,12302017）
