Open AccessANALISIS KESTABILAN MODEL INTERAKSI PREDATOR-PREY DENGAN FUNGSI RESPON MONOD-HALDANE DAN PERILAKU ANTI PEMANGSA
Author(s) -
Muhammad Bachtiar Gaib,
Wahdania A.T. Ja’a
Publication year - 2020
Publication title -
euler
Language(s) - English
Resource type - Journals
eISSN - 2776-3706
pISSN - 2087-9393
DOI - 10.34312/euler.v8i2.10407
Subject(s) - equilibrium point , saddle point , stability (learning theory) , mathematics , mathematical economics , predator , saddle , predation , statistical physics , physics , mathematical analysis , mathematical optimization , ecology , computer science , biology , geometry , machine learning , differential equation
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.