一类总人口变动的结核病模型的分析

Stability of SEIT Epidemic Model With Varying Total Population Size

建立了具有比例输入和二次感染的SEIT结核病模型,利用Lyapunov函数和La-Salle不变集原理研究了系统无病平衡点的全局稳定性;利用Jacobian矩阵研究了地方病平衡点的局部稳定性;利用Matlab数学软件,通过数值模拟,对所建立的模型进行了仿真.

An SEIT epidemic model that incorporates proportion recruitment and with exogenous reinfection is considered.By Lyapunov function and LaSalle invariant set theorem,we proved the global asymptotical stable results of the disease-free equilibrium.By Descartes′ Rule of Signs,we proved the local asymptotical stable results of the endemic equilibrium.We proved the results of our model with the help of the math softuare Matlab by numerical simulations.