摘要
研究了新型H7N9禽流感病毒传播的禽类-人类动力学模型。模型考虑了媒体宣传对人们行为方式和生活习惯产生的影响，进而影响传染病的传播和控制，并加入了饱和治疗函数。通过数学分析得到了系统平衡点的存在性与基本再生数之间的关系，并证明了系统的无病平衡点和地方病平衡点的全局稳定性。
In this paper, a bird-to-human H7N9 avaln epidemic model is investigated. We taking into account the psychological effect which has an impact on people＇s behavior and lifestyles. Ultimately, it affects the spread and control of infectious diseases. Furthermore, the saturating treatment is taken into account. Mathematical analyses establish the relation between the existence of equilibria and the basic reproduction number of the model. We proved the global stability results for both the disease-free equilibrium point and the endemic equilibrium point.
作者
郭树敏
李学志
GUO Shu-min;LI Xue-zhi(Department of Mathematics and Statistics,Shaoguan University,Shaoguan 512005,China;College of Mathematics and Information Science,Henan Normal University,Xinxiang 453007,China)
出处
《数学的实践与认识》
北大核心
2018年第22期170-176,共7页
Mathematics in Practice and Theory
基金
韶关市科技计划项目(2016-14)
