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

Ipah Junaedi; Diny Zulkarnaen; Siti Julaeha

doi:10.15575/kubik.v1i1.318

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Ipah Junaedi
UIN Sunan Gunung Djati Bandung
Indonesia

Diny Zulkarnaen
UIN Sunan Gunung Djati Bandung
Indonesia

Siti Julaeha
UIN Sunan Gunung Djati Bandung
Indonesia

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

Ipah Junaedi^(1*), Diny Zulkarnaen⁽²⁾, Siti Julaeha⁽³⁾

(1) UIN Sunan Gunung Djati Bandung, Indonesia
(2) UIN Sunan Gunung Djati Bandung, Indonesia
(3) UIN Sunan Gunung Djati Bandung, Indonesia
(*) Corresponding Author

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.

Keywords

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

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References

Dubey, B. A prey-predator model with a reserved area,Nonlinear analysis: modeling and control, 12(4):479-494, 2007.

Boyce, W.E dan Diprima, R.C. Elementary differential equation and boundary value problems, Seventh edition, Jhon Wiley & Sons, 2001.

Odum, Eugene P., dan Barrett, Gary W., Fundamentals of Ecology, Fifth Edition, Thomson.

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.

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

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

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