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一类具有标准发生率的媒介传染病模型的稳定性

肖亚男 薛亚奎

高师理科学刊Issue(3):11-14,4.
高师理科学刊Issue(3):11-14,4.DOI:10.3969/j.issn.1007-9831.2015.03.003

一类具有标准发生率的媒介传染病模型的稳定性

Stabilityanalysisofakindofhost-vectorepidemicmodelwithstandardincidencerate

肖亚男 1薛亚奎1

作者信息

  • 1. 中北大学 理学院,山西 太原030051
  • 折叠

摘要

Abstract

The host-vector epidemic model with standard incidence rate was formulated and studied.The threshold is identified which determines the outcome of disease and the existence of the equilibrium was discussed.The model is shown that the disease free equilibrium is locally stability when R0<1 .For the basic reproductive number R0>1 ,a unique endemic equilibrium exists and is locally asymptotically stable.The numerical simulations are carried out to find the disease free equilibrium and endemic equilibrium are globally asymptotically stable.

关键词

媒介传染/动力学系统/基本再生数/平衡点/稳定性

Key words

host-vector/dynamic modeling/basic reproduction number/endemic equilibrium/stability

分类

数理科学

引用本文复制引用

肖亚男,薛亚奎..一类具有标准发生率的媒介传染病模型的稳定性[J].高师理科学刊,2015,(3):11-14,4.

基金项目

国家自然科学基金资助项目 ()

高师理科学刊

1007-9831

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