ANALISIS MODEL MANGSA-PEMANGSA DENGAN MEMBEDAKAN JENIS KELAMIN PADA POPULASI MANGSA; ANALYZE A PREDATOR-PREY MODEL WITH GENDER DIFFERENTIATE IN PREY POPULATION

Fajri, Andriko, Dina Aryati

2015 | Disertasi | FMIPA

In this thesis, the mathematical model of predator-prey by assumption that there are a difference of birth and death rates between for male and female preys is analysed. In addition, the interaction response of predator-prey uses Holling Type II. According to analysis, conditions for global stability of equilibrium points and for the permanence of model system of predator-preys are obtained. By the given theorem, we show that the predator will not alter the number of male and female prey population ratio.

Kata Kunci : predator-prey; Holling Type II; stability; permanence.