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Stability analysis of a discrete Hutchinson equation with discrete and distributed delay

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Abstract

In this paper a Hutchinson equation with discrete and distributed delay is discretized by the Euler method. The dynamics of the obtained discrete system is then investigated. Specifically the stability of the positive fixed point is analyzed. It is found that for sufficiently small time-step of integration, the positive equilibrium undergoes a Neimark-Sacker bifurcation which is controlled by the discrete time delay. The results of analysis are then confirmed by some numerical simulations.

Original languageEnglish
Title of host publicationSymposium on Biomathematics, Symomath 2013
EditorsNuning Nuraini, Hidetaka Arimura
PublisherAmerican Institute of Physics Inc.
Pages115-118
Number of pages4
ISBN (Electronic)9780735412194
DOIs
Publication statusPublished - 2014
EventSymposium on Biomathematics, Symomath 2013 - Bandung, West Java, Indonesia
Duration: 27 Oct 201329 Oct 2013

Publication series

NameAIP Conference Proceedings
Volume1587
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

ConferenceSymposium on Biomathematics, Symomath 2013
Country/TerritoryIndonesia
CityBandung, West Java
Period27/10/1329/10/13

Keywords

  • Distributed Delay
  • Logistic Equation
  • Neimark-Sacker Bifurcation

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