摘要
结合我国奶牛布鲁氏菌病的现状以及疾病自身的特点,考虑环境当中病菌项的传染,分析并建立了具有外界引入以及剔除等措施的奶牛布鲁氏菌病动力学模型.从理论上求出了系统的基本再生数,分析了各平衡点的存在性和局部稳定性.通过谱半径方法以及构造适当的Lyapunov函数证明了无病平衡点和唯一的正平衡点全局渐进稳定.
Combining the current situation of Dairy cattle brucellosis in our country with Brucellosis own characteristics,and Considering the bacteria infection of the environment,the Dairy cattle brucellosis dynamical model was formulated with outer importing and excluding measures.The basic reproductive rate was calculated theoretically.The existence of equilibrium points and local stability were analyzed theoretically.By using the method of spectral radius and constructing appropriate Lyapunov functions,it draws the conclusion that the disease-free equilibrium and the unique endemic equilibrium are global asymptotic stability.
出处
《中北大学学报（自然科学版）》
CAS
北大核心
2013年第2期93-97,共5页
Journal of North University of China(Natural Science Edition)
基金
国家自然科学基金资助项目(11171314
11147015)
山西省自然科学基金资助项目(2010011007)
关键词
奶牛布鲁氏菌病
基本再生数
稳定性
dairy cattle brucellosis
basic reproductive rate
stability
