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Fuzzy delay differential equation in predator-prey intteraction: analysis of stability of steady state

In this paper, a fuzzy delay predator-prey (FDPP) system is proposed by adopting fuzzy parameter in a delay predator-prey (DPP) system. The steady state and linear stability of FDPP system are determined and analyzed. Here, we show that the trivial steady state is unstable for all value of delays. M...

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Main Authors: Maan, Normah, Barzinji, Khabat, Aris, Nor’aini
Format: Conference or Workshop Item
Published: 2013
Subjects:
Q Science
Online Access:http://eprints.utm.my/id/eprint/37759/
https://pdfs.semanticscholar.org/829a/b27db7f0e9fee0d6545d4210577d416237db.pdf?_ga=2.255483400.1057473206.1504362629-1921607609.1504362629
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spelling my.utm.377592017-09-28T02:34:50Z http://eprints.utm.my/id/eprint/37759/ Fuzzy delay differential equation in predator-prey intteraction: analysis of stability of steady state Maan, Normah Barzinji, Khabat Aris, Nor’aini Q Science In this paper, a fuzzy delay predator-prey (FDPP) system is proposed by adopting fuzzy parameter in a delay predator-prey (DPP) system. The steady state and linear stability of FDPP system are determined and analyzed. Here, we show that the trivial steady state is unstable for all value of delays. Mean while the semi trivial steady state is locally asymptotically stable for all values of delays under certain conditions. We prove that the steady state are fuzzy numbers. Several examples are considered to show the results. 2013 Conference or Workshop Item PeerReviewed Maan, Normah and Barzinji, Khabat and Aris, Nor’aini (2013) Fuzzy delay differential equation in predator-prey intteraction: analysis of stability of steady state. In: Proceedings of the World Congress on Engineering 2013, 3-5 July 2013, London, UK. https://pdfs.semanticscholar.org/829a/b27db7f0e9fee0d6545d4210577d416237db.pdf?_ga=2.255483400.1057473206.1504362629-1921607609.1504362629
institution Universiti Teknologi Malaysia
building UTM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Malaysia
content_source UTM Institutional Repository
url_provider http://eprints.utm.my/
topic Q Science
spellingShingle Q Science
Maan, Normah
Barzinji, Khabat
Aris, Nor’aini
Fuzzy delay differential equation in predator-prey intteraction: analysis of stability of steady state
description In this paper, a fuzzy delay predator-prey (FDPP) system is proposed by adopting fuzzy parameter in a delay predator-prey (DPP) system. The steady state and linear stability of FDPP system are determined and analyzed. Here, we show that the trivial steady state is unstable for all value of delays. Mean while the semi trivial steady state is locally asymptotically stable for all values of delays under certain conditions. We prove that the steady state are fuzzy numbers. Several examples are considered to show the results.
format Conference or Workshop Item
author Maan, Normah
Barzinji, Khabat
Aris, Nor’aini
author_facet Maan, Normah
Barzinji, Khabat
Aris, Nor’aini
author_sort Maan, Normah
title Fuzzy delay differential equation in predator-prey intteraction: analysis of stability of steady state
title_short Fuzzy delay differential equation in predator-prey intteraction: analysis of stability of steady state
title_full Fuzzy delay differential equation in predator-prey intteraction: analysis of stability of steady state
title_fullStr Fuzzy delay differential equation in predator-prey intteraction: analysis of stability of steady state
title_full_unstemmed Fuzzy delay differential equation in predator-prey intteraction: analysis of stability of steady state
title_sort fuzzy delay differential equation in predator-prey intteraction: analysis of stability of steady state
publishDate 2013
url http://eprints.utm.my/id/eprint/37759/
https://pdfs.semanticscholar.org/829a/b27db7f0e9fee0d6545d4210577d416237db.pdf?_ga=2.255483400.1057473206.1504362629-1921607609.1504362629
_version_ 1643650157790625792
score 13.188404

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