Li M Y, Muldowney J S
Department of Mathematics, University of Alberta, Edmonton, Canada.
Math Biosci. 1995 Feb;125(2):155-64. doi: 10.1016/0025-5564(95)92756-5.
The SEIR model with nonlinear incidence rates in epidemiology is studied. Global stability of the endemic equilibrium is proved using a general criterion for the orbital stability of periodic orbits associated with higher-dimensional nonlinear autonomous systems as well as the theory of competitive systems of differential equations.
研究了流行病学中具有非线性发病率的SEIR模型。利用与高维非线性自治系统相关的周期轨道的轨道稳定性的一般准则以及微分方程竞争系统的理论,证明了地方病平衡点的全局稳定性。