【摘要】 本文研究了一类具有时滞、饱和传染率及饱和治疗函数的SEIR污染-传染病模型的稳定性及Hopf分支,借助特征值理论和Routh-Hurwitz判据分析了无病平衡点和地方病平衡点的局部稳定性.同时以时滞为分支参数,得出Hopf分支存在的条件.更多还原

【Abstract】 In this paper,a delayed SEIR pollution-epidemic model with saturated incidence rate and saturated treatment function is studied. Using eigenvalue method and Routh-Hurwitz criterion,the stability of disease-free equilibrium and endemic equilibrium are analyzed. Choosing the delay as a bifurcation parameter,we establish a set of sufficient conditions for the existence of Hopf bifurcation.更多还原