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2014•Fuzhou daxue xuebao. Ziran kexue banRequires access

Global stability of a SEIR epidemic model with nonlinear incidence rate and vaccination

Shan Xiu-l

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Abstract

In this paper,dynamic property about a SEIR epidemic model with nonlinear incidence rate and vaccination is studied.By using some methods,including LaSalle invariant set principle,Lyapunov function,Routh-Hurwitz bounded,the theory about asymptotically orbital in differential equations and compound matrix,the threshold conditions which guarantee the global asymptotic stable disease-free equilibrium and endemic equilibrium of the SEIR epidemic model are obtained.Some new results are obtained.

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What this paper is about

In this paper,dynamic property about a SEIR epidemic model with nonlinear incidence rate and vaccination is studied.By using some methods,including LaSalle invariant set principle,Lyapunov function,Routh-Hurwitz bounded,the theory about asymptotically orbital in differential equations and compound matrix,the threshold conditions which guarantee the global asymptotic stable disease-free equilibrium and endemic equilibrium of the SEIR epidemic model are obtained.Some new results are obtained.

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Available abstract

In this paper,dynamic property about a SEIR epidemic model with nonlinear incidence rate and vaccination is studied.By using some methods,including LaSalle invariant set principle,Lyapunov function,Routh-Hurwitz bounded,the theory about asymptotically orbital in differential equations and compound matrix,the threshold conditions which guarantee the global asymptotic stable disease-free equilibrium and endemic equilibrium of the SEIR epidemic model are obtained.Some new results are obtained.

Key concepts: Epidemic model, Mathematics, Bounded function, Exponential stability, Lyapunov function, Nonlinear system, Invariant (physics), Applied mathematics

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