2012Journal of Dalian Jiaotong UniversityRequires access

Stability Analysis of An SEIQR Model with Infection Force in Latent and Inflection Periods

Heng Qiang

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Abstract

A class of latency and the infectious period with infectious force SEIQR epidemic model are studied,and the disease extinction threshold as basic reproductive number is obtained,which is proved existance of the disease-free equilibrium and the endemic equilibrium points.The disease-free equilibrium and the endemic equilibrium local stability and global asymptotic stability are also confirmed.

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A class of latency and the infectious period with infectious force SEIQR epidemic model are studied,and the disease extinction threshold as basic reproductive number is obtained,which is proved existance of the disease-free equilibrium and the endemic equilibrium points.The disease-free equilibrium and the endemic equilibrium local stability and global asymptotic stability are also confirmed.

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Available abstract

A class of latency and the infectious period with infectious force SEIQR epidemic model are studied,and the disease extinction threshold as basic reproductive number is obtained,which is proved existance of the disease-free equilibrium and the endemic equilibrium points.The disease-free equilibrium and the endemic equilibrium local stability and global asymptotic stability are also confirmed.

Key concepts: Inflection point, Basic reproduction number, Stability (learning theory), Epidemic model, Infectious disease (medical specialty), Extinction (optical mineralogy), Mathematics, Applied mathematics

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