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2009•Journal of Henan Polytechnic UniversityRequires access

A class of the combination of SEIR and SEIS epidemic model with constant recruitment

Gang Yi

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Abstract

According to different stage characteristic,a class of the combination of SEIR and SEIS epidemic model with constant recruitmentwe is eatablished.Then,by means of Liapunov function and Lasalle invariant set theorem,the global asymptotical stable results of the disease-free equilibrium is discussed.Moreover,by using the compound matrix theory,the global stability of the unique endemic equilibrium of the SEIR and SEIS model is obtained.

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What this paper is about

According to different stage characteristic,a class of the combination of SEIR and SEIS epidemic model with constant recruitmentwe is eatablished.Then,by means of Liapunov function and Lasalle invariant set theorem,the global asymptotical stable results of the disease-free equilibrium is discussed.Moreover,by using the compound matrix theory,the global stability of the unique endemic equilibrium of the SEIR and SEIS model is obtained.

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Available abstract

According to different stage characteristic,a class of the combination of SEIR and SEIS epidemic model with constant recruitmentwe is eatablished.Then,by means of Liapunov function and Lasalle invariant set theorem,the global asymptotical stable results of the disease-free equilibrium is discussed.Moreover,by using the compound matrix theory,the global stability of the unique endemic equilibrium of the SEIR and SEIS model is obtained.

Key concepts: Liapunov function, Constant (computer programming), Mathematics, Class (philosophy), Epidemic model, Invariant (physics), Applied mathematics, Invariance principle

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