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A predator prey model with Fuzzy initial populations

Organized by International Fuzzy Systems Association and European Society for Fuzzy Logic and Technology, 20th - 24th July 2009 in Lisbon, Portugal.

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Bibliographic Details
Main Authors: Muhammad Zaini, Ahmad, Bernard, De Baets
Format: Working Paper
Language:English
Published: International Fuzzy Systems Association and European Society for Fuzzy Logic and Technology 2009
Subjects:
Equilibrium points
Fuzzy predator-prey population model
Fuzzy phase-plane
Fuzzy stability
Uncertainty
Predation (Biology)
Predation (Biology) > Mathematical models
Online Access:http://dspace.unimap.edu.my/xmlui/handle/123456789/6798
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spelling my.unimap-67982009-08-11T03:05:26Z A predator prey model with Fuzzy initial populations Muhammad Zaini, Ahmad Bernard, De Baets Equilibrium points Fuzzy predator-prey population model Fuzzy phase-plane Fuzzy stability Uncertainty Predation (Biology) Predation (Biology) -- Mathematical models Organized by International Fuzzy Systems Association and European Society for Fuzzy Logic and Technology, 20th - 24th July 2009 in Lisbon, Portugal. The aim of this paper is to study a predator-prey population model which takes into account the uncertainty that arises when determining the initial populations of predator and prey. This model is solved numerically by means of a 4th-order Runge-Kutta method. Simulations are made and a graphical representation is also provided to show the evolution of both populations over time. In addition to that, a new phase-plane in this fuzzy setting, referred to as fuzzy phase-plane, is introduced. The stability of the equilibrium points is also described. Finally, this paper points out a new research direction on fuzzy dynamical systems, especially in non-linear cases. 2009-08-11T03:05:26Z 2009-08-11T03:05:26Z 2009-07 Working Paper p.1311-1314 978-989-95079-6-8 http://hdl.handle.net/123456789/6798 en 2009 International Fuzzy Systems Association World Congress and 2009 European Society for Fuzzy Logic and Technology Conference International Fuzzy Systems Association and European Society for Fuzzy Logic and Technology
institution Universiti Malaysia Perlis
building UniMAP Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Malaysia Perlis
content_source UniMAP Library Digital Repository
url_provider http://dspace.unimap.edu.my/
language English
topic Equilibrium points
Fuzzy predator-prey population model
Fuzzy phase-plane
Fuzzy stability
Uncertainty
Predation (Biology)
Predation (Biology) -- Mathematical models
spellingShingle Equilibrium points
Fuzzy predator-prey population model
Fuzzy phase-plane
Fuzzy stability
Uncertainty
Predation (Biology)
Predation (Biology) -- Mathematical models
Muhammad Zaini, Ahmad
Bernard, De Baets
A predator prey model with Fuzzy initial populations
description Organized by International Fuzzy Systems Association and European Society for Fuzzy Logic and Technology, 20th - 24th July 2009 in Lisbon, Portugal.
format Working Paper
author Muhammad Zaini, Ahmad
Bernard, De Baets
author_facet Muhammad Zaini, Ahmad
Bernard, De Baets
author_sort Muhammad Zaini, Ahmad
title A predator prey model with Fuzzy initial populations
title_short A predator prey model with Fuzzy initial populations
title_full A predator prey model with Fuzzy initial populations
title_fullStr A predator prey model with Fuzzy initial populations
title_full_unstemmed A predator prey model with Fuzzy initial populations
title_sort predator prey model with fuzzy initial populations
publisher International Fuzzy Systems Association and European Society for Fuzzy Logic and Technology
publishDate 2009
url http://dspace.unimap.edu.my/xmlui/handle/123456789/6798
_version_ 1643788606936973312
score 13.214268

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