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Global Analysis of an SVEIR Epidemic Model with Partial Immunity

Journal Name:

  • Mathematica Æterna

Publication Year:

  • 2011

Key Words:

Author NameUniversity of Author
Abstract (2. Language): 
In this paper, an SVEIR epidemic model with nonlinear incidence rate are established under the assumption that the vaccinated individu- als have partial immunity, and the basic productive number is obtained according to the next generation matrix. By Liapunov-Lasalle invariant theorem, the globally asymptotical stability of the disease-free equilib- rium is proved. By Hurwitz criterion, the local asymptotic stability of the endemic equilibrium was proved, The sufficient conditions for the globally asymptotically stable of the endemic equilibrium are obtained.
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  • English

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