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具有饱和治疗率的H7N9型禽流感模型的动力学性态分析

胡新利 刘艳 陈瑶 张扬

纺织高校基础科学学报2016,Vol.29Issue(3):306-311,6.
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

胡新利 1刘艳 1陈瑶 1张扬1

作者信息

  • 1. 西安工程大学 理学院,陕西 西安 710048
  • 折叠

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)

纺织高校基础科学学报

OACSTPCD

1006-8341

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