一类流行性病毒传播的非线性动力学系统  

A class of nonlinear dynamic system for epidemic virus transmission

作　　者：徐建中 莫嘉琪 Xu Jianzhong;Mo Jiaqi(Department of Electronics and Information Engineering,Bozhou University,Bozhou 236800,China;School of Mathematics and Statistics,Anhui Normal University,Wuhu 241003,China)

机构地区：[1]亳州学院电子与信息工程系,安徽亳州236800 [2]安徽师范大学数学与统计学院,安徽芜湖241003

出　　处：《南京理工大学学报》2019年第3期286-291,共6页Journal of Nanjing University of Science and Technology

基　　金：国家自然科学基金(41275062);安徽省教育厅自然科学研究项目(KJ2017A702);安徽省高校优秀青年人才支持计划(gxyq2018116);安徽省优秀教学团队基金(2016jytd080);亳州学院教学研究重点项目(2018jyxm0592);亳州学院自然科学研究重点项目(BYZ2018B03; BYZ2017B03)

摘　　要：研究流行性病毒传染传播的动力学系统,求得该系统的近似解的表示式。描述了流行病传播区域中的人群传播模式。利用泛函广义变分方法对非线性系统求得近似解的迭代序列,并叙述了它的一致收敛性。通过举例较简单地得到各次近似解。以1个简单的无量纲相对系统为例,验证了该文方法的有效性。A class of dynamic system for epidemic contagion region transmission is considered to get the expression of approximate solution for this system. The transmission mode of the human groups in an epidemic contagion region is described. The approximate iteration sequence of the nonlinear dynamic system is got by using the functional general variational method,and its uniform convergence is illustrated. Many times approximate solutions are obtained simply. The availability of this method is verified by taking a simple dimensionless relative system for example.

关 键 词：流行性病毒 传播 非线性动力学系统 泛函广义变分方法 无量纲相对系统 

分 类 号：O175.14[理学—数学]