Maximum Sustainable Yield (MSY) Value in Predator Prey Model with Holling Type II Functional Response
Fadilah Ilahi (a*), Ana Widiana (b)

(a) Department of Mathematics, UIN Sunan Gunung Djati, Jl. A.H. Nasution No.105, Bandung, Indonesia
*fadilah.ilahi[at]uinsgd.ac.id
(b) Department of Biology, UIN Sunan Gunung Djati, Jl. A.H. Nasution No. 105, Bandung, Indonesia

Abstract

Maximum Sustainable Yield (MSY) is a management exploitation that aims to maximize the catch but still maintain its sustainability. In this article, the authors try to build a model which have been modified from basic Lotka-Volterra model with addition logistic function to prey population and Holling Type II functional response to predator population as well as harvesting of both population. The equilibrium points and the stability are done here through the linearization. Numerical simulations are shown to illustrate the dynamics of the two populations. Based on the results of analysis and numerical simulation, the MSY value can be achieved when the harvesting effort does not exceed or equal the MSY value.

Keywords: maximum sustainable yield (MSY), harvesting, Holling type II, predator-prey

Topic: Mathematics