STABILITAS DAN BIFURKASI HOPF PADA MODEL EPIDEMI SIRS DENGAN LAJU PENULARAN NONLINEAR
In this paper discussed the SIRS epidemic model with transmission rate the general nonlinear ! � �with ๹ !, ๹ ! and ๹ ! !.There are two types of equilibrium point is disease-free equilibrium and the point endemic equilibrium. The existence of disease-free equilibrium point is not specifie...
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| Main Authors: | , |
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| Format: | Theses and Dissertations NonPeerReviewed |
| Published: |
[Yogyakarta] : Universitas Gadjah Mada
2013
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| Subjects: | |
| Online Access: | https://repository.ugm.ac.id/119241/ http://etd.ugm.ac.id/index.php?mod=penelitian_detail&sub=PenelitianDetail&act=view&typ=html&buku_id=59236 |
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| Institution: | Universitas Gadjah Mada |
| Summary: | In this paper discussed the SIRS epidemic model with transmission rate the
general nonlinear
!
�
�with ๹ !, ๹ ! and ๹ ! !.There are two types of
equilibrium point is disease-free equilibrium and the point endemic equilibrium.
The existence of disease-free equilibrium point is not specified by parameter ๹
and � and while the endemic equilibrium point is by these parameters. Analysis of
the stability of the equilibrium point epidemic models consists of local stability
and globall stability. Based on the rate of transmission nonlinear in general are
causing changes in local stability of disease-free equilibrium point. Analysis of
Hopf bifurcation at the equilibrium point endemic. Changes in parameter values
indicate changes in the stability endemic equilibrium point. Numerical simulations
are given to illustrate stability of the equilibrium point. |
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