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

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.

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Official URL: https://pdfs.semanticscholar.org/829a/b27db7f0e9fe...

Abstract

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.

Item Type:Conference or Workshop Item (Paper)
Uncontrolled Keywords:delay predator-prey (DPP), steady states, stability, fuzzy delay predator-prey(FDPP)
Subjects:Q Science
Divisions:Science
ID Code:37759
Deposited By: Liza Porijo
Deposited On:14 Apr 2014 12:30
Last Modified:28 Sep 2017 10:34

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