Stability of SEIR Model with Saturated Incidence Rate
Journal Title: 河南科技大学学报（自然科学版） - Year 2017, Vol 38, Issue 1
Abstract
The stability of susceptible-exposed-infectious-recovered( SEIR) model with vertical transmission and saturated incidence rate was discussed,and the effect of vaccination on transmission of infectious disease was considered. The basic reproductive number R0 of the model was calculated. The disease-free equilibrium was proved to be local asymptotically stable and global asymptotically stable when R0≤ 1. The endemic equilibrium was proved to be local asymptotically stable and global asymptotically stable under certain conditions when R0> 1 by using Hurwitz criterion and the second additive compound matrix.
Authors and Affiliations
Caihong YANG, Zhixing HU
Keywords
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