摘要
检测扑杀措施的实施对动物疫病的防控和净化起着决定性的作用,基于检测行为的特点,建立动力学模型来分析检测行为对布病传播的影响.首先计算基本再生数,分析平衡点的存在性;然后通过构造Lyapunov函数证明无病平衡点和地方病平衡点的全局渐近稳定性;最后通过数值模拟验证理论分析.研究成果可为布病的有效预防和控制提供一定的理论依据.
The implementation of detection and culling measures plays a decisive role in the prevention,control and purification of animal epidemic diseases.Based on the characteristics of detection behavior,this paperest ablishes a dynamic model to analyze the impact of det ection behavior on the transmission of brucellosis.We first calculate the basic reproduction number and analyze the existence of the disease equilibrium point.Then the global asymptotic stability of the disease-free equilibrium and endemic equilibrium was proved by Lyapunov function.Finally,the theoretical analysis is verified by numerical simulation.The research results in this paper can provide certain theoretical basis for the effective prevention and control of brucellosis.
作者
乔瑞春
侯强
李有文
QIAO Rui-chun;HOU Qiang;LI You-wen(School of Science,North University of China,Taiyuan 030051,China)
出处
《数学的实践与认识》
北大核心
2019年第13期322-328,共7页
Mathematics in Practice and Theory
基金
国家自然科学基金青年基金(11501528)
山西省自然科学青年基金(2015021018)
