【正文】
染率的SI傳染病模型,對SI傳染病模型的平衡點做了局部穩(wěn)定性分析,通過對平衡點對應(yīng)的特征方程的討論確定了局部穩(wěn)定性的條件,并對平衡點的全局穩(wěn)定性進行了數(shù)值模擬。關(guān)鍵字:傳染病 SI模型 平衡點 穩(wěn)定性The study of the SI Epidemic Model with different transmission ratesTANG Ying, ZHOU Haihua, LI Kaie, LI Xinhua, WANG YufuAbstract: To Establish the SI epidemic model with bilinear infection rate by using the basic knowledge of dynamic model of infectious diseases and the general rules of the spread of disease, make a local stability analysis of the balance point of the SI epidemic model, then determine the conditions for local stability from the equilibrium point corresponding to the characteristic equation, and make a numerical simulation of the global stability.Keywords: Infectious disease SI epidemic model Balance point Stability1引言傳染病的傳播模型可追述到1760年Daniel Bernoulli對天花的分析;文獻[1]中提到劉芳、胡志興針