【摘要】 研究了一类具有饱和接触率和垂直感染的SIR模型,得到了疾病绝灭的阈值R0.通过构造V函数和Dulac函数,证明了当R0≤1时,无病平衡点全局渐近稳定;当R0>1时,存在惟一地方病平衡点,且全局渐近稳定.更多还原

【Abstract】 A SIR epidemic model with the saturated contact rate and vertical transmission is considered.The basic reproduction number R0 is identified.By using V function and Dulac function,it is showed that if R0≤1,the disease-free equilibrium is globally stable;if R0>1,a unique endemic equilibrium is globally stable.更多还原