摘要
研究了一类具有时滞和非线性传染率的SIRS传染病模型,确定了模型的基本再生数,并且利用线性化、Hurwitz定理和渐进稳定判定定理分析了无病平衡点和地方病平衡点的稳定性。
This paper studies a kind of SIRS epidemic model with nonlinear incidence rate and delay. The basic reproductive number of the system is obtained, and by means of linearization, Hurwitz theorem and asymptotic stability theorem, it analyses the stability of disease-free equilibrium and endemic equilibrium.
出处
《洛阳理工学院学报（自然科学版）》
2014年第3期73-77,共5页
Journal of Luoyang Institute of Science and Technology：Natural Science Edition
关键词
SIRS模型
时滞
非线性发生率
稳定性
SIRS epidemic model
delay
nonlinear incidence rate
stability
