Model Matematika Pemanenan Ikan dengan Kebijakan Panen Selektif

Lisa Risfana Sari

Abstract


Pengelolaan sumber daya perikanan termasuk sebagai aspek penting yang dipertimbangkan oleh negara maritim. Kelimpahan sumber daya ikan dapat dipertahankan dengan strategi penangkapan ikan yang tepat, salah satunya adalah kebijakan panen selektif. Dalam studi ini, dinamika kepadatan populasi ikan dipelajari menggunakan model predator-prey yang dimodifikasi. Proses panen selektif yang memperhitungkan usia atau ukuran ikan siap panen dinyatakan sebagai penundaan waktu dalam proses panen. Analisis model dilakukan dengan menentukan titik kesetimbangan model dan stabilitas titik keseimbangan model. Ada empat titik keseimbangan model, yang mewakili kondisi trivial, kepunahan prey, kepunahan predator, dan eksistensi predator-prey. Perilaku dinamis model diilustrasikan melalui simulasi numerik dengan beberapa skenario. Hasil simulasi numerik menunjukkan bahwa waktu tunda mempengaruhi stabilitas beberapa titik setimbang, sehingga menghasilkan dinamika populasi yang lebih beragam.


Keywords


Pemanenan ikan, Predator-prey, Simulasi numerik, Waktu tunda

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DOI: https://dx.doi.org/10.12962/limits.v17i1.6753

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Limits: Journal Mathematics and its Aplications by Pusat Publikasi Ilmiah LPPM Institut Teknologi Sepuluh Nopember is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.
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