DYNAMICS OF PREDATOR-PREY TYPE OF SYSTEM WITH NONMONOTONIC RESPONSE FUNCTION AND PERIODIC PERTURBATION

Broer et al in (Broer dkk., 2005; Broer dkk., 2006; Broer dkk., 2007) discusses the bifurcation analysis of predator-prey system with nonmonotonic response function thoroughly. He found several results in codimension three bifurcation acts as an organizing center. In this thesis, we will add periodi...

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Main Author: (NIM: 30110009), ERIC
Format: Dissertations
Language:Indonesia
Online Access:https://digilib.itb.ac.id/gdl/view/20074
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Institution: Institut Teknologi Bandung
Language: Indonesia
id id-itb.:20074
spelling id-itb.:200742017-09-27T15:45:37ZDYNAMICS OF PREDATOR-PREY TYPE OF SYSTEM WITH NONMONOTONIC RESPONSE FUNCTION AND PERIODIC PERTURBATION (NIM: 30110009), ERIC Indonesia Dissertations INSTITUT TEKNOLOGI BANDUNG https://digilib.itb.ac.id/gdl/view/20074 Broer et al in (Broer dkk., 2005; Broer dkk., 2006; Broer dkk., 2007) discusses the bifurcation analysis of predator-prey system with nonmonotonic response function thoroughly. He found several results in codimension three bifurcation acts as an organizing center. In this thesis, we will add periodic perturbation at the carrying capacity term. As we have already known, the periodic perturbation change the equilibrium of the system to a periodic solution. In the new system, we found new bifurcations, i.e. new torus and fold. We also give reasoning on the occurence of strange attractor in this system. text
institution Institut Teknologi Bandung
building Institut Teknologi Bandung Library
continent Asia
country Indonesia
Indonesia
content_provider Institut Teknologi Bandung
collection Digital ITB
language Indonesia
description Broer et al in (Broer dkk., 2005; Broer dkk., 2006; Broer dkk., 2007) discusses the bifurcation analysis of predator-prey system with nonmonotonic response function thoroughly. He found several results in codimension three bifurcation acts as an organizing center. In this thesis, we will add periodic perturbation at the carrying capacity term. As we have already known, the periodic perturbation change the equilibrium of the system to a periodic solution. In the new system, we found new bifurcations, i.e. new torus and fold. We also give reasoning on the occurence of strange attractor in this system.
format Dissertations
author (NIM: 30110009), ERIC
spellingShingle (NIM: 30110009), ERIC
DYNAMICS OF PREDATOR-PREY TYPE OF SYSTEM WITH NONMONOTONIC RESPONSE FUNCTION AND PERIODIC PERTURBATION
author_facet (NIM: 30110009), ERIC
author_sort (NIM: 30110009), ERIC
title DYNAMICS OF PREDATOR-PREY TYPE OF SYSTEM WITH NONMONOTONIC RESPONSE FUNCTION AND PERIODIC PERTURBATION
title_short DYNAMICS OF PREDATOR-PREY TYPE OF SYSTEM WITH NONMONOTONIC RESPONSE FUNCTION AND PERIODIC PERTURBATION
title_full DYNAMICS OF PREDATOR-PREY TYPE OF SYSTEM WITH NONMONOTONIC RESPONSE FUNCTION AND PERIODIC PERTURBATION
title_fullStr DYNAMICS OF PREDATOR-PREY TYPE OF SYSTEM WITH NONMONOTONIC RESPONSE FUNCTION AND PERIODIC PERTURBATION
title_full_unstemmed DYNAMICS OF PREDATOR-PREY TYPE OF SYSTEM WITH NONMONOTONIC RESPONSE FUNCTION AND PERIODIC PERTURBATION
title_sort dynamics of predator-prey type of system with nonmonotonic response function and periodic perturbation
url https://digilib.itb.ac.id/gdl/view/20074
_version_ 1821120040803500032