摘要
研究了一类具恢复期时滞且发生率为非线性的SIS传染病模型,讨论了该系统地方病平衡点的稳定性。利用Hopf分支理论,以时间τ为参数给出了系统在地方病平衡点处产生Hopf分支的充分条件。
A class of an SIS epidemic mathematic model with constant recruitment,time delay and nonlinear incidence is studied,and its stability of endemic equilibrium is discussed.By applying the theorem of Hopf bifurcation,the sufficient conditions of the endemic equilibrium occurring Hopf bifurcation with delay as parameter is given.
出处
《延安大学学报（自然科学版）》
2011年第3期19-21,共3页
Journal of Yan'an University：Natural Science Edition
关键词
HOPF分支
时滞
非线性传染率
局部渐近稳定
Hopf bifurcation
time delay
nonlinear incidence
local asymptotic stability
