The stability analysis of an SI-SEIR epidemic dynamics model between animals and humans

摘要：

A mathematical model is proposed to interpret the spread of an epidemic which can spread among animals world, between the animals world and the humans world or among humans world which contain incubation period. In the article, we get the sufficient condition of equilibriums which are globally asymptotically stable by setting the function of Lyapunov and Dulac, using the Lasalle Invariance Principle and the Poincare-Bendixon theorem.

关键词： Dynamics model SI-SEIR model The second additive compound matrix Extinction Globally asymptotically stable

作者: Qin Yao Guoliang Cai Zhongyi Xiang

作者单位: Faculty of Science, Jiangsu University, Zhenjiang, Jiangsu 212013 Department of Mathematics of Hubei Institute for Nationalities, Enshi, Hubei 445000

会议类型: 国际会议

会议名称: The Third International Conference on Modelling and Simulation(第三届国际建模、计算、仿真、优化及其应用学术会议 ICMS 2010)

会议地点: 无锡

会议语种:英文

页码: 341-346

在线出版日期: 2010-06-04（万方平台首次上网日期，不代表论文的发表时间）