N.N. Ilmiyah, Trisilowati, A.R. Alghofari
This paper deals with a construction and an analysis of harvested predator-prey model with ratio-dependent response function and prey refuge. The harvesting is applied on both of predator and prey because they have a commercial value, while the prey refuge is applied in accordance with the fact that prey has a refuge instinct enabling to reduce the possibility of prey catching rate. According to the analysis, there are four equilibrium points which are stable under certain conditions, namely the prey extinction, the predator extinction, and two coexistence points. Finally, numerical solutions are presented not only to illustrate each equilibrium points but also to illustrate the effects of prey refuge. © 2014 N. N. Ilmiyah, Trisilowati and A. R. Alghofari.
Department of Mathematics, Faculty of Sciences, Brawijaya University, Jl. Veteran, Malang, 65145, Indonesia
