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