高师理科学刊2018，Vol.38Issue(12)：6-9,16,5.DOI:10.3969/j.issn.1007-9831.2018.12.002
具有非线性传染率的SIRS流行病模型
A SIRS epidemic model with nonlinear incidence rate
摘要
Abstract
Studies a SIRS epidemic model with nonlinear incidence rate, simultaneously considering the continuous time delay in the process of infection. By analyzing the model, defines the basic reproductive number R0 for the model. If R0<1, the disease-free equilibrium E0 is global asymptotical stability, and disease die out. If R0>1, the disease-free equilibrium E0 is instability, a endemic equilibrium E* is local asymptotical stability under some condition, and the disease is uniformly persistent.关键词
传染病模型/阚值/非线性传染率/稳定性/持久性Key words
epidemic model/threshold/nonlinear infectious rate/stability/persistence分类
数理科学引用本文复制引用
田巍,孙福刚,宋君宇,王厚增..具有非线性传染率的SIRS流行病模型[J].高师理科学刊,2018,38(12):6-9,16,5.基金项目
黑龙江省教育厅科学技术研究项目(12541890) （12541890）
黑龙江省教育厅基本业务专项(135109229) （135109229）
