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Please use this identifier to cite or link to this item: http://dspace.unimap.edu.my:80/xmlui/handle/123456789/6798

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://hdl.handle.net/123456789/6798
ISBN: 978-989-95079-6-8
Appears in Collections:Conference Papers

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