Simulasi Model Mangsa Pemangsa Di Wilayah yang Dilindungi untuk Kasus Pemangsa Tergantung Sebagian pada Mangsa

Authors

  • Ipah Junaedi UIN Sunan Gunung Djati Bandung
  • Diny Zulkarnaen UIN Sunan Gunung Djati Bandung
  • Siti Julaeha UIN Sunan Gunung Djati Bandung

DOI:

https://doi.org/10.15575/kubik.v1i1.318

Keywords:

Model Mangsa Pemangsa, titik tetap, jenis kestabilan, metode Adam-Bashfort-Moulton.

Abstract

Suatu model matematika diterapkan pada suatu kasus pemangsa yang tergantung sebagian pada mangsa di wilayah yang dilindungi. Adapun setelah dibentuk model mangsa pemangsa pada kasus ini maka diperoleh empat titik tetap, masing-masing titik tetap tersebut memiliki jenis kestabilan yang berbeda, yakni tidak stabil, saddle, dan stabil asimtotik. Selanjutnya model mangsa pemangsa disimulasikan untuk mengetahui dinamika pertumbuhan populasi mangsa dan pemangsa. Simulasi tersebut menggunakan metode Adam-Bashfort-Moulton dengan prosedur pendahuluan pencarian nilai awal menggunakan metode Euler.

References

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Haberman, R. Mathematical Model: Mechanical Vibration, Population Dynamics, and Traffc Flow. An Inroduction to Applied Mathematics, SIAM, 1998.

Perko, L. Differential Equations And Dynamical System, TAM 7, Springer Verlag New York, 1991.

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Published

2015-04-28

Issue

Vol. 1 No. 1 (2015): KUBIK : Jurnal Publikasi Ilmiah Matematika

Section

Articles

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