STABILITAS DAN BIFURKASI PADA MODEL MANGSA-PEMANGSA YANG BERGANTUNG KEPADA RASIO MANGSA DAN PEMANGSA DENGAN PEMANENAN TIDAK KONSTAN; STABILITY AND BIFURCATION ON PREDATOR-PREY MODELS DEPENDING ON THE RATIO OF PREY AND PREDATOR WITH NONCONSTANT HARVESTING

Abdul Rahman, Fajar Adi Kusumo

2012 | Disertasi | PROGRAM STUDI S2 MATEMATIKA

The Dynamics of a ratio-dependent predator-prey models with two different non-constant harvesting funtions depending on the predator population is studied. Equilibria and its stability properties are analyzed. Several bifurcations detected on that predator-prey models are transcritical bifurcation, pithfork bifurcation and hopf bifurcation. Conditions for the boundedness of solutions and for the exixtence of a bioeconomic equilibrium are analyzed

Kata Kunci : Model Mangsa-Pemangsa; Pemanenan; Sistem Dinamik