2013Journal of Northwest UniversityRequires access

The global analysis of a SEIR epidemic model with immunization and latency

Xue Chun-rong

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Abstract

A class of nonlinear autonomous SEIR Model with vaccination immunization is studied,and obtained threshold which determines disease extinction or not.By means of Liapunov function,orbital stability and composite matrix,proved disease-free equilibrium and endemic equilibrium existence and global stability.

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A class of nonlinear autonomous SEIR Model with vaccination immunization is studied,and obtained threshold which determines disease extinction or not.By means of Liapunov function,orbital stability and composite matrix,proved disease-free equilibrium and endemic equilibrium existence and global stability.

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Available abstract

A class of nonlinear autonomous SEIR Model with vaccination immunization is studied,and obtained threshold which determines disease extinction or not.By means of Liapunov function,orbital stability and composite matrix,proved disease-free equilibrium and endemic equilibrium existence and global stability.

Key concepts: Liapunov function, Extinction (optical mineralogy), Nonlinear system, Stability (learning theory), Mathematics, Immunization, Exponential stability, Epidemic model

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