CD Skripsi

Analisis Model Predator-Prey Dengan Fear Effect Dan Migrasi Antar Dua Patch

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This final project discusses the dynamics of a predator-prey model involving interactions between predator and prey populations. This interaction is influ- enced by the fear effect on prey which causes prey to migrate to safer patches. Predator density decreases when the level of fear effect increases. Migration be- tween patches also has a large impact on predator density. The model is solved by analyzing the stability using linearization techniques at each equilibration point. In the observed model, it is shown that the model has three equilibri- um points namely population-free equilibrium point, predator-free equilibrium point, and positive equilibrium point. It is also shown that the model has se- veral types of stability namely stable node, asymptotically stable, saddle node, and hyperbolic saddle. Based on the analysis results obtained, the predator and prey populations reach equilibrium under certain conditions. Simulation of the model is carried out with certain parameters to illustrate the behavior and stability of the equilibrium point.

Keywords: Predator-prey model, fear effect, patch, stability

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Ketersediaan

Informasi Detail

Judul Seri

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No. Panggil

1803124088

Penerbit

Pekanbaru : Universitas Riau FMIPA Matematika., 2024

Deskripsi Fisik

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Bahasa

Indonesia

ISBN/ISSN

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Klasifikasi

1803124088

Tipe Isi

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Tipe Media

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Tipe Pembawa

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Edisi

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Subjek

MATEMATIKA

Info Detail Spesifik

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Pernyataan Tanggungjawab

Mutia

Versi lain/terkait

Lampiran Berkas

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