Dynamics analysis of an SEIQS model with a nonlinear incidence rate

摘要：

This paper considers an SEIQS model with nonlinear incidence rate. By means of Lyapun-ov function and LaSalles invariant set theorem, we proved the global asymptotical stable results of the disease-free equilibrium. It is then obtained the sufficent conditions for the global stability of the endemic equilibrium by the compound matrix theory. In addition, we also study the phenomena of limit cycle of the systems with the numerical simulations.

关键词： SEIQS model incidence rate global stability limit cycle simulation

作者: Ning Cui Jun Hong Li Jiao Qu Hong Dan Xue

作者单位: Department of Mathematics and Sciences, Hebei Institute of Architecture&Civil Engineering,Zhangjiakou Hebei, 075000, China

会议类型: 国际会议

会议名称: 2011 International Conference on Mechatronics and Applied Mechanics(2011年机电一体化与应用力学国际会议 ICMAM 2011)

会议地点: 香港

会议语种:英文

页码: 1220-1223

在线出版日期: 2011-12-27（万方平台首次上网日期，不代表论文的发表时间）