摘要
该文建立了一个多种群之间相互作用的布鲁氏菌病传播动力学模型.分析了模型解的非负有界性,使用下一代矩阵法得到布鲁氏菌病是否流行的阈值参数R_(0).证明了平衡点的存在性与稳定性,当R_(0)<1时,无病平衡点E0是全局渐近稳定的;当R_(0)>1时,地方病平衡点E*是全局渐近稳定的.此外,对理论分析的结果进行仿真,通过敏感性分析研究了不同参数对R_(0)的影响程度,结果表明:对羊群进行疫苗的接种、及时清理染病羊群或其分泌物等措施有效抑制了布鲁氏菌病的传播.
In this paper,a model of Brucellosis transmission dynamics with multiple population interactions is developed.The non-negative boundedness of the model is analyzed.By using the next-generation matrix method,threshold parameter R_(0)is obtained for if Brucellosis is transmitted or not.The existence and stability of equilibrium points are proved.The disease-free equilibrium is globally asymptotically stable when R_(0)<1,the endemic equilibrium point is globally asymptotically stable when R_(0)>1.In addition,simulation of the results of the theoretical are analyzed.Sensitivity analyses are conducted to investigate the effect of different parameters on the R_(0).The results show that measures such as vaccination of sheep and timely cleaning of infected sheep or their secretions have effectively suppressed the spread of Brucellosis.
作者
张轶菲
薛亚奎
ZHANG Yifei;XUE Yakui(School of Mathematics,North University of China,Taiyuan 030051,China)
出处
《华中师范大学学报(自然科学版)》
北大核心
2025年第2期179-187,共9页
Journal of Central China Normal University:Natural Sciences
基金
国家自然科学基金项目(11971278)
山西省自然科学基金项目(202203021211086).
关键词
布鲁氏菌病
稳定性分析
敏感性分析
数值模拟
Brucellosis
stability analysis
sensitivity analysis
numerical simulation
