【摘要】 研究了一类具有非线性发生率的急慢性阶段传染病模型,得到了确定模型全局动力性的阀值参数-基本再生数R₀,证明了R₀<1时,无病平衡点是全局渐近稳定的,疾病消失;若R₀>1,则存在地方病平衡点且是稳定结点,并证明了一定条件下地方病平衡点是全局渐近稳定的,疾病将蔓延.更多还原

【Abstract】 An epidemic model with nonlinear infectious force and acute and chronic stages is formulated.We obtain the basic reproduction number-R₀ of the model which is a sharp threshold parameter to determine the globally dynamics of the model.If R₀ < 1,the disease-free equilibrium is globally asymptotically stable,then the disease dies out;If R₀ > 1,the endemic equilibrium exists and is a stable node,and the endemic equilibrium is globally asymptotically stable under certain conditions,which implies that the disease will prevail and result in the endemic.更多还原