Zero : Jurnal Sains, Matematika, dan Terapan
Vol 3, No 1 (2019): Zero: Jurnal Sains Matematika dan Terapan

DYNAMIC BEHAVIOR OF PREDATOR-PREY WITH RATIO DEPENDENT, REFUGE IN PREY AND HARVEST FROM PREDATOR

Hakim, Lukman (Unknown)
Habibi, Azwar Riza (Unknown)



Article Info

Publish Date
11 Nov 2019

Abstract

Abstract In this paper, we discuss a dynamical behavior of Predator-Prey with ratiodependent, refuge in prey, and harvest from predator. Model reconstruction isorganized by adding the refuge control in prey with the values 0  m  1, and linearpredator harvesting. The aim of analysis is to describe the equilibrium points andtheir stability. In analysis, the possible fixed points are the prey extinction, thepredator extinction, and predator-prey coexists. By using linearization, thestability of predator extinction point is unstable, and the prey extinction point,coexists point becomes stable with certain condition. Finally, the dynamicalsimulation show that the trajectories of solution convergent to their stability, andthe refuge strategy suitable to avoid the extinction of prey.Key Word: Dynamic Behavior, Predator-Prey, Predation, Refuges, Harvest

Copyrights © 2019