ANALISIS KESTABILAN LOKAL DAN BIFURKASI PADA MODEL EPIDEMI SEIV DENGAN VAKSINASI DAN PENULARAN PENYAKIT SECARA VERTIKAL
In this Thesis, an SEIV epidemic model with vaccination, horizontal and vertical transmission, and nonlinear incidence rate is formulated. Local stability and bifurcation analysis in this model is presented in terms of the basic reproduction number R0. This model exhibits a backward bifurcation poss...
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| Main Authors: | , |
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| Format: | Theses and Dissertations NonPeerReviewed |
| Published: |
[Yogyakarta] : Universitas Gadjah Mada
2014
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| Subjects: | |
| Online Access: | https://repository.ugm.ac.id/128169/ http://etd.ugm.ac.id/index.php?mod=penelitian_detail&sub=PenelitianDetail&act=view&typ=html&buku_id=68504 |
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| Summary: | In this Thesis, an SEIV epidemic model with vaccination, horizontal and
vertical transmission, and nonlinear incidence rate is formulated. Local stability
and bifurcation analysis in this model is presented in terms of the basic
reproduction number R0. This model exhibits a backward bifurcation possibility,
that is, the appearance of two endemic equilibria although the basic reproduction
number R0 is less than the threshold 1. A locally asymptotically stable disease-free
equilibrium coexists with a locally asymptotically stable endemic equilibrium for
a certain condition of R0. Numerical simulation is given to illustrate the results. |
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