Maximum Sustainable Yield (MSY) value in predator-prey model with holling type ii functional response

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 stabilityvare done here through the linearization. Dynamical simulations are shown to illustrate the dynamics of the two populations. Based on the results of analysis and dynamical simulation, the MSY value can be achieved when the harvesting efforts does not exceed or equal the MSY value.