一类布鲁氏菌病的多仓室传播动力学模型分析和应用研究  

Analysis and application of a multi-compartmental transmission dynamics model for a class of Brucellosis

作　　者：张轶菲 薛亚奎[1] ZHANG Yifei;XUE Yakui(School of Mathematics,North University of China,Taiyuan 030051,China)

机构地区：[1]中北大学数学学院,太原030051

出　　处：《华中师范大学学报(自然科学版)》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).

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.

关 键 词：布鲁氏菌病 稳定性分析 敏感性分析 数值模拟 

分 类 号：O175[理学—数学]