纺织高校基础科学学报2016,Vol.29Issue(3):306-311,6.DOI:10.13338/j.issn.1006-8341.2016.03.006
具有饱和治疗率的H7N9型禽流感模型的动力学性态分析
The dynamical analysis of the avian influenza virus H7N9 model with saturated treatment rate
摘要
Abstract
The avian influenza(H7N9)model with saturated treatment rate is established,and the influence of media reports and saturated treatment on the spread of avian flu is investigated. The basic reproduction number of the model is obtained and the dynamic behavior is analyzed by using V function,Dulac function and the limit equation theory.The disease free equilibrium is globally asymptotically stable if the basic reproduction number is less than 1;The epidemic equilibrium is globally asymptotically stable if the reproduction number is larger than 1 .Fur-thermore,numerical simulation is verified the theoretical results.关键词
禽流感模型/V函数/Dulac函数/全局稳定性Key words
avian influenza model/V function/Dulac function/globally stable分类
数理科学引用本文复制引用
胡新利,刘艳,陈瑶,张扬..具有饱和治疗率的H7N9型禽流感模型的动力学性态分析[J].纺织高校基础科学学报,2016,29(3):306-311,6.基金项目
陕西省教育厅自然科学专项基金资助项目(15JK1295) (15JK1295)
西安工程大学博士科研启动基金资助项目(BS1208) (BS1208)