ScholarLens Back to search
2015•Unpublished venueRequires access

Analysis of stability and bifurcation of a SEIR epidemic model with nonlinear incidence

Zhang Dao-xian

Open publisher page 0 citations

Abstract

Considering the factor of hospital cure,an SEIR epidemic model with nonlinear incidence and nonlinear recovery rate is investigated.It is shown that the model exhibits two equilibria,namely,the disease-free equilibrium and the endemic equilibrium.A backward bifurcation leading to bistability possibly occurs.The global stability of the model is further studied by using the Lyapunov function.The corresponding results in literatures are improved and extended.

About this research paper

What this paper is about

Considering the factor of hospital cure,an SEIR epidemic model with nonlinear incidence and nonlinear recovery rate is investigated.It is shown that the model exhibits two equilibria,namely,the disease-free equilibrium and the endemic equilibrium.A backward bifurcation leading to bistability possibly occurs.The global stability of the model is further studied by using the Lyapunov function.The corresponding results in literatures are improved and extended.

Why it matters

A significance statement is not available in the OpenAlex record.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

Considering the factor of hospital cure,an SEIR epidemic model with nonlinear incidence and nonlinear recovery rate is investigated.It is shown that the model exhibits two equilibria,namely,the disease-free equilibrium and the endemic equilibrium.A backward bifurcation leading to bistability possibly occurs.The global stability of the model is further studied by using the Lyapunov function.The corresponding results in literatures are improved and extended.

Key concepts: Mathematics, Epidemic model, Lyapunov function, Bifurcation, Nonlinear system, Bistability, Stability (learning theory), Applied mathematics

Related papers

Related paper 1Related paper 2Related paper 3
Back to paper searchBrowse research topicsOriginal source
Analysis of stability and bifurcation of a SEIR epidemic model with nonlinear incidence — Research Paper | ScholarLens