Fuzzy Delay Differential Equation in Predator-Prey Interaction: Analysis on Stability of Steady State

Normah Maan, Khabat Barzinji, Nor Aini, Aris
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
more » ... l examples are considered to show the results.