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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International Fuzzy Systems Association and European Society for Fuzzy Logic and Technology
2009
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| Online Access: | http://dspace.unimap.edu.my/xmlui/handle/123456789/6798 |
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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 |
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Universiti Malaysia Perlis |
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Malaysia |
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Universiti Malaysia Perlis |
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| 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 |