STABILITAS MODEL INTERAKSI INANG-PARASITOID (WHITEFLY TRIALEURODES VAPORARIORUM-ENCARSIA FORMOSA) DENGAN RESPON FUNGSIONAL HOLLING TIPE II

DEWI ANGGREINI, Dr. Fajar Adi kusumo

2012 | Tesis | S2 Matematika

Di dalam tesis ini akan dibahas kestabilan titik-titik ekuilibrium model interaksi antara inang-parasitoid yaitu Whitefly (Trialeurodes vaporariorum) dengan parasitoid Encarsia formosa dan Amitus bennetti. Interaksi antara inang-parasitoid menggunakan respon fungsional Holling tipe II. Hal ini merupakan pengembangan dari model Nicholson dan Balley dari sisi fungsi respon. Dalam tesis ini untuk kasus yang sama dengan Nicholson dan Balley dianalisis menggunakan respon fungsional Holling tipe II. Dilakukan analisa saat parasitoid berhasil mengendalikan populasi inang dan saat parasitoid tidak berhasil mengendalikan populasi inang. Dari penelitian ini diperoleh titik-titik ekuilibrium, kestabilan titik-titik ekuilibrium, interpretasi kestabilan titik-titik ekuilibrium beserta simulasinya.

In this thesis are discussing about stability of equilibrium points model of host-parasitoid interaction between Whitefly (Trialeurodes vaporariorum) as the host and Encarsia formosa and Amitus bennetti as the parasitoids. The interaction will be reviewed by using Holling functional response type II which this type is the development of functional response of Nicholson and Balley’s model. In this thesis, only the same cases with the Nicholson and Balley’s are analyzed by using this Holling functional response type II. The analyzing was carried out when the parasitoids success to control the host population and it was also carried out when the parasitoids fail to control the population. This research has gained some obtaining as follows: equilibrium points, stability of equilibrium points, interpretations of stability of equilibrium points and their simulations.

Kata Kunci : interaksi inang–parasitoid, kestabilan titik-titik ekuilibrium.