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: , Muh. Rais Ridwan S.Si., , Dr. Lina Aryati, M.S.
Format: Theses and Dissertations NonPeerReviewed
Published: [Yogyakarta] : Universitas Gadjah Mada 2013
Subjects:
ETD
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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spelling id-ugm-repo.1192412016-03-04T08:40:50Z https://repository.ugm.ac.id/119241/ STABILITAS DAN BIFURKASI HOPF PADA MODEL EPIDEMI SIRS DENGAN LAJU PENULARAN NONLINEAR , Muh. Rais Ridwan S.Si. , Dr. Lina Aryati, M.S. ETD 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. [Yogyakarta] : Universitas Gadjah Mada 2013 Thesis NonPeerReviewed , Muh. Rais Ridwan S.Si. and , Dr. Lina Aryati, M.S. (2013) STABILITAS DAN BIFURKASI HOPF PADA MODEL EPIDEMI SIRS DENGAN LAJU PENULARAN NONLINEAR. UNSPECIFIED thesis, UNSPECIFIED. http://etd.ugm.ac.id/index.php?mod=penelitian_detail&sub=PenelitianDetail&act=view&typ=html&buku_id=59236
institution Universitas Gadjah Mada
building UGM Library
country Indonesia
collection Repository Civitas UGM
topic ETD
spellingShingle ETD
, Muh. Rais Ridwan S.Si.
, Dr. Lina Aryati, M.S.
STABILITAS DAN BIFURKASI HOPF PADA MODEL EPIDEMI SIRS DENGAN LAJU PENULARAN NONLINEAR
description 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.
format Theses and Dissertations
NonPeerReviewed
author , Muh. Rais Ridwan S.Si.
, Dr. Lina Aryati, M.S.
author_facet , Muh. Rais Ridwan S.Si.
, Dr. Lina Aryati, M.S.
author_sort , Muh. Rais Ridwan S.Si.
title STABILITAS DAN BIFURKASI HOPF PADA MODEL EPIDEMI SIRS DENGAN LAJU PENULARAN NONLINEAR
title_short STABILITAS DAN BIFURKASI HOPF PADA MODEL EPIDEMI SIRS DENGAN LAJU PENULARAN NONLINEAR
title_full STABILITAS DAN BIFURKASI HOPF PADA MODEL EPIDEMI SIRS DENGAN LAJU PENULARAN NONLINEAR
title_fullStr STABILITAS DAN BIFURKASI HOPF PADA MODEL EPIDEMI SIRS DENGAN LAJU PENULARAN NONLINEAR
title_full_unstemmed STABILITAS DAN BIFURKASI HOPF PADA MODEL EPIDEMI SIRS DENGAN LAJU PENULARAN NONLINEAR
title_sort stabilitas dan bifurkasi hopf pada model epidemi sirs dengan laju penularan nonlinear
publisher [Yogyakarta] : Universitas Gadjah Mada
publishDate 2013
url 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
_version_ 1681231108062052352