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

Maan, Normah and Barzinji, K. and Aris, N. (2013) Fuzzy delay differential equation in predator-prey interaction: analysis on stability of steady state. In: Lecture Notes In Engineering And Computer Science.

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Official URL: https://www.researchgate.net/publication/251876683...

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:differential equation
Subjects:Q Science
ID Code:51085
Deposited By: Haliza Zainal
Deposited On:27 Jan 2016 09:53
Last Modified:17 Sep 2017 14:51

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