The stability analysis of an SEIRS model

摘要：

In this paper, nonlinear incidence with a more general form, vertical transmission and the immunity period are considered in an SEIRS epidemic model. The result shows that the stability of the disease free equilibrium depends on the immunity period besides the basic reproductive number. Furthermore, the stability of the unique endemic equilibrium can be obtained under some conditions depending on the immunity period. In addition, by numerical simulations, periodic solutions can be found from the endemic equilibrium when the immunity period is in some regions.

关键词： Endemic model Stability Nonlinear incidence Vertical transmission The immunity period

作者: Longxing Qi Jing-an Cui

作者单位: School of Mathematical Sciences,Anhui University,Hefei, 230601, China College of Science,Beijing University of Civil Engineering and Architecture,Beijing,100044, China

会议类型: 国际会议

会议名称: The 5th International Congress on Mathematical Biology(第五届国际生物数学大会 ICMB 2011)

会议地点: 南京

会议语种:英文

页码: 1329-1334

在线出版日期: 2011-06-01（万方平台首次上网日期，不代表论文的发表时间）