ANALISIS KESTABILAN MODEL INTERAKSI PREDATOR-PREY DENGAN FUNGSI RESPON MONOD-HALDANE DAN PERILAKU ANTI PEMANGSA

Muhammad Bachtiar Gaib; Wahdania At. Ja'a

doi:10.34312/euler.v8i2.10407

ANALISIS KESTABILAN MODEL INTERAKSI PREDATOR-PREY DENGAN FUNGSI RESPON MONOD-HALDANE DAN PERILAKU ANTI PEMANGSA

Muhammad Bachtiar Gaib, Wahdania At. Ja'a

Abstract

This article examines a competing prey-predator model using the Monod-Haldane response function and anti-predator behavior. This article discusses equilibrium point determination, equilibrium point stability analysis, and numerical simulation. Obtained three equilibrium points, namely T1, T2, and T3, where the equilibrium-point is always saddle, the stability of the equilibrium points T2 and T3 will be stable if it meets the predetermined parameter requirements. There are two cases in the equilibrium point where the first case is vertically stable and the second case is spiral stable.

Keywords

Predator-Prey Model; Response Function; Monod-Haldane; Anti Predators; Equilibrium Point

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DOI: https://doi.org/10.34312/euler.v8i2.10407

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