Model mangsa pemangsa dengan respon fungsional tak monoton

Abstract

This study examines the dynamics of predator prey system with nonmonotonic functional response. In this model the level of interaction between prey and predator is assumed to satisfy a nonmonotonic quadratic function. With this assumption the behavior occurs in the system is analyzed by considering the effects of parameter changes. Based on analysis of the model, there are 4 fixed points, which stability depend on parameter values. Based on the simulations on the parameter of prey birth rate, it can be concluded that the higher prey birth rate, there will be changes in the oscillation center of solutions. While the changes in the predator mortality rate parameter show that the higher the death rate of predator, it will change the number of fixed points and will change the stability at each fixed point. If the predator death rate reached proportion 0.5 of the predator population, it will cause the extinction of predator.