北华大学学报（自然科学版）2016，Vol.17Issue(5)：561-565,5.DOI:10.11713/j.issn.1009-4822.2016.05.001
一类时滞SIQS传染病模型的Hopf分支
Hopf Bifurcation of a Delayed SIQS Epidemic Model
摘要
Abstract
Hopf bifurcation of a delayed SIQS epidemic model with nonlinear incidence is investigated. Sufficient conditions for local stability and the existence of Hopf bifurcation are established by regarding the time delay due to the temporary period of the infective and the quarantined individuals as the bifurcation parameter. Finally,a numerical example is also provided to verify the obtained results. It is found that the disease can be controlled by putting off the occurrence of the Hopf bifurcation.关键词
SIQS模型/稳定性/Hopf分支/时滞Key words
SIQS model/stability/Hopf bifurcation/delay分类
数理科学引用本文复制引用
刘娟..一类时滞SIQS传染病模型的Hopf分支[J].北华大学学报（自然科学版）,2016,17(5):561-565,5.基金项目
安徽省高等学校省级自然科学研究项目(KJ2015A144) （KJ2015A144）
