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

• 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
• Institution: Universiti Teknologi Malaysia

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.