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Title: | A predator prey model with Fuzzy initial populations |
Authors: | Muhammad Zaini, Ahmad Bernard, De Baets |
Keywords: | Equilibrium points Fuzzy predator-prey population model Fuzzy phase-plane Fuzzy stability Uncertainty Predation (Biology) Predation (Biology) -- Mathematical models |
Issue Date: | Jul-2009 |
Publisher: | International Fuzzy Systems Association and European Society for Fuzzy Logic and Technology |
Citation: | p.1311-1314 |
Series/Report no.: | 2009 International Fuzzy Systems Association World Congress and 2009 European Society for Fuzzy Logic and Technology Conference |
Abstract: | 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. |
Description: | Organized by International Fuzzy Systems Association and European Society for Fuzzy Logic and Technology, 20th - 24th July 2009 in Lisbon, Portugal. |
URI: | http://dspace.unimap.edu.my/123456789/6798 |
ISBN: | 978-989-95079-6-8 |
Appears in Collections: | Conference Papers |
Files in This Item:
File | Description | Size | Format | |
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IFSA-EUSFLAT 2009.pdf | Access is limited to UniMAP community. | 272.87 kB | Adobe PDF | View/Open |
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