Aisyah, Siti (2013) Analisis Dinamik Model Predator- Prey dengan Kompetitor terhadap Predator dan Harvesting terhadap Prey. Sarjana thesis, Universitas Brawijaya.
Abstract
Skripsi ini membahas model tiga spesies yang terdiri dari prey, predator, dan kompetitor terhadap predator, di mana keberadaan kompetitor tidak berpengaruh pada prey dan populasi prey terganggu karena adanya harvesting terhadap prey. Model tiga spesies dibentuk melalui model predator-prey dua spesies dan model kompetisi dua spesies. Model matematika yang terbentuk berupa persamaan diferensial biasa nonlinear. Pada model tiga spesies terdapat delapan titik kesetimbangan. Sifat kestabilan lokal titik kesetimbangan tersebut ditentukan dengan melakukan linearisasi sistem di sekitar titik kesetimbangan. Analisis kestabilan lokal yang dilakukan menunjukkan satu titik kesetimbangan trivial dan dua titik kesetimbangan batas bersifat tidak stabil, sedangkan lima titik lainnya yang terdiri dari empat titik kesetimbangan batas dan satu titik kesetimbangan interior bersifat stabil asimtotik. Selain analisis kestabilan lokal, juga dilakukan analisis kestabilan global menggunakan fungsi Lyapunov. Pada bagian akhir dilakukan simulasi numerik untuk mengilustrasikan dan menguji hasil analisis dinamik yang telah diperoleh.
| Item Type: | Thesis (Sarjana) |
|---|---|
| Identification Number: | SKR/MIPA/2013/13/051301181 |
| Subjects: | 500 Natural sciences and mathematics > 510 Mathematics |
| Divisions: | Fakultas Matematika dan Ilmu Pengetahuan Alam > Matematika |
| Depositing User: | Hasbi |
| Date Deposited: | 24 May 2013 09:58 |
| Last Modified: | 25 Oct 2021 01:47 |
| URI: | http://repository.ub.ac.id/id/eprint/153389 |
![[thumbnail of Daftar_Pustaka.pdf]](http://repository.ub.ac.id/style/images/fileicons/text.png) |
Text
Daftar_Pustaka.pdf Download (1MB) |
|
Text
BAB_V.pdf Download (1MB) |
|
Text
cover.pdf Download (1MB) |
|
Text
Awalan.pdf Download (2MB) |
|
Text
BAB_I.pdf Download (1MB) |
|
Text
BAB_II.pdf Download (2MB) |
|
Text
BAB_III.pdf Download (2MB) |
|
Text
BAB_IV.pdf Download (2MB) |
![[thumbnail of Thumbnails conversion from text to thumbnail_lightbox]](http://repository.ub.ac.id/153389/8/lightbox.jpg) |
Other (Thumbnails conversion from text to thumbnail_lightbox)
lightbox.jpg Download (46kB) |
![[thumbnail of Thumbnails conversion from text to thumbnail_preview]](http://repository.ub.ac.id/153389/9/preview.jpg) |
Other (Thumbnails conversion from text to thumbnail_preview)
preview.jpg Download (18kB) |
![[thumbnail of Thumbnails conversion from text to thumbnail_medium]](http://repository.ub.ac.id/153389/10/medium.jpg) |
Other (Thumbnails conversion from text to thumbnail_medium)
medium.jpg Download (4kB) |
![[thumbnail of Thumbnails conversion from text to thumbnail_small]](http://repository.ub.ac.id/153389/11/small.jpg) |
Other (Thumbnails conversion from text to thumbnail_small)
small.jpg Download (1kB) |
![[thumbnail of Thumbnails conversion from text to thumbnail_lightbox]](http://repository.ub.ac.id/153389/12/lightbox.jpg) |
Other (Thumbnails conversion from text to thumbnail_lightbox)
lightbox.jpg Download (51kB) |
![[thumbnail of Thumbnails conversion from text to thumbnail_preview]](http://repository.ub.ac.id/153389/13/preview.jpg) |
Other (Thumbnails conversion from text to thumbnail_preview)
preview.jpg Download (19kB) |
![[thumbnail of Thumbnails conversion from text to thumbnail_medium]](http://repository.ub.ac.id/153389/14/medium.jpg) |
Other (Thumbnails conversion from text to thumbnail_medium)
medium.jpg Download (5kB) |
![[thumbnail of Thumbnails conversion from text to thumbnail_small]](http://repository.ub.ac.id/153389/15/small.jpg) |
Other (Thumbnails conversion from text to thumbnail_small)
small.jpg Download (1kB) |
![[thumbnail of Thumbnails conversion from text to thumbnail_lightbox]](http://repository.ub.ac.id/153389/16/lightbox.jpg) |
Other (Thumbnails conversion from text to thumbnail_lightbox)
lightbox.jpg Download (49kB) |
![[thumbnail of Thumbnails conversion from text to thumbnail_preview]](http://repository.ub.ac.id/153389/17/preview.jpg) |
Other (Thumbnails conversion from text to thumbnail_preview)
preview.jpg Download (19kB) |
![[thumbnail of Thumbnails conversion from text to thumbnail_medium]](http://repository.ub.ac.id/153389/18/medium.jpg) |
Other (Thumbnails conversion from text to thumbnail_medium)
medium.jpg Download (5kB) |
![[thumbnail of Thumbnails conversion from text to thumbnail_small]](http://repository.ub.ac.id/153389/19/small.jpg) |
Other (Thumbnails conversion from text to thumbnail_small)
small.jpg Download (1kB) |
![[thumbnail of Thumbnails conversion from text to thumbnail_lightbox]](http://repository.ub.ac.id/153389/20/lightbox.jpg) |
Other (Thumbnails conversion from text to thumbnail_lightbox)
lightbox.jpg Download (34kB) |
![[thumbnail of Thumbnails conversion from text to thumbnail_preview]](http://repository.ub.ac.id/153389/21/preview.jpg) |
Other (Thumbnails conversion from text to thumbnail_preview)
preview.jpg Download (14kB) |
![[thumbnail of Thumbnails conversion from text to thumbnail_medium]](http://repository.ub.ac.id/153389/22/medium.jpg) |
Other (Thumbnails conversion from text to thumbnail_medium)
medium.jpg Download (4kB) |
![[thumbnail of Thumbnails conversion from text to thumbnail_small]](http://repository.ub.ac.id/153389/23/small.jpg) |
Other (Thumbnails conversion from text to thumbnail_small)
small.jpg Download (1kB) |
![[thumbnail of Thumbnails conversion from text to thumbnail_lightbox]](http://repository.ub.ac.id/153389/24/lightbox.jpg) |
Other (Thumbnails conversion from text to thumbnail_lightbox)
lightbox.jpg Download (42kB) |
![[thumbnail of Thumbnails conversion from text to thumbnail_preview]](http://repository.ub.ac.id/153389/25/preview.jpg) |
Other (Thumbnails conversion from text to thumbnail_preview)
preview.jpg Download (17kB) |
![[thumbnail of Thumbnails conversion from text to thumbnail_medium]](http://repository.ub.ac.id/153389/26/medium.jpg) |
Other (Thumbnails conversion from text to thumbnail_medium)
medium.jpg Download (4kB) |
![[thumbnail of Thumbnails conversion from text to thumbnail_small]](http://repository.ub.ac.id/153389/27/small.jpg) |
Other (Thumbnails conversion from text to thumbnail_small)
small.jpg Download (1kB) |
![[thumbnail of Thumbnails conversion from text to thumbnail_lightbox]](http://repository.ub.ac.id/153389/28/lightbox.jpg) |
Other (Thumbnails conversion from text to thumbnail_lightbox)
lightbox.jpg Download (43kB) |
![[thumbnail of Thumbnails conversion from text to thumbnail_preview]](http://repository.ub.ac.id/153389/29/preview.jpg) |
Other (Thumbnails conversion from text to thumbnail_preview)
preview.jpg Download (17kB) |
![[thumbnail of Thumbnails conversion from text to thumbnail_medium]](http://repository.ub.ac.id/153389/30/medium.jpg) |
Other (Thumbnails conversion from text to thumbnail_medium)
medium.jpg Download (4kB) |
![[thumbnail of Thumbnails conversion from text to thumbnail_small]](http://repository.ub.ac.id/153389/31/small.jpg) |
Other (Thumbnails conversion from text to thumbnail_small)
small.jpg Download (1kB) |
![[thumbnail of Thumbnails conversion from text to thumbnail_lightbox]](http://repository.ub.ac.id/153389/32/lightbox.jpg) |
Other (Thumbnails conversion from text to thumbnail_lightbox)
lightbox.jpg Download (32kB) |
![[thumbnail of Thumbnails conversion from text to thumbnail_preview]](http://repository.ub.ac.id/153389/33/preview.jpg) |
Other (Thumbnails conversion from text to thumbnail_preview)
preview.jpg Download (14kB) |
![[thumbnail of Thumbnails conversion from text to thumbnail_medium]](http://repository.ub.ac.id/153389/34/medium.jpg) |
Other (Thumbnails conversion from text to thumbnail_medium)
medium.jpg Download (4kB) |
![[thumbnail of Thumbnails conversion from text to thumbnail_small]](http://repository.ub.ac.id/153389/35/small.jpg) |
Other (Thumbnails conversion from text to thumbnail_small)
small.jpg Download (1kB) |
![[thumbnail of Thumbnails conversion from text to thumbnail_lightbox]](http://repository.ub.ac.id/153389/36/lightbox.jpg) |
Other (Thumbnails conversion from text to thumbnail_lightbox)
lightbox.jpg Download (49kB) |
![[thumbnail of Thumbnails conversion from text to thumbnail_preview]](http://repository.ub.ac.id/153389/37/preview.jpg) |
Other (Thumbnails conversion from text to thumbnail_preview)
preview.jpg Download (19kB) |
![[thumbnail of Thumbnails conversion from text to thumbnail_medium]](http://repository.ub.ac.id/153389/38/medium.jpg) |
Other (Thumbnails conversion from text to thumbnail_medium)
medium.jpg Download (5kB) |
![[thumbnail of Thumbnails conversion from text to thumbnail_small]](http://repository.ub.ac.id/153389/39/small.jpg) |
Other (Thumbnails conversion from text to thumbnail_small)
small.jpg Download (1kB) |
Actions (login required)
 |
View Item |