CD Skripsi

Analisis Dinamika Model Predator-Prey Dengan Pemanenan Prey Nonlinear Dan Respon Fungsional Akar Kuadrat

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This final project discusses the interaction of two populations consisting of predator population and prey population in an ecosystem. The predator-prey model used is the Lotka-Volterra model with nonlinear prey harvesting and square root functional response. The nonlinear prey harvesting considers pre- dator harvesting rates that are not proportional to prey population size. The predator-prey model with a square root functional response considers the pre- dator consumption rate of prey to be proportional to the square root of prey density. This modeling is completed by analyzing stability used linearization techniques at the equilibrium points. The results of the observed model ob- tained predator free equilibrium points of the hyperbolic saddle, stable, and unstable types, as well as positive equilibrium points of the source, sink, and center types. Based on the analysis results it is found that predator-prey model is stable and both populations can coexist, as long as harvesting rates does not exceed the maximum harvesting value.

Keywords: Predator-prey model, Lotka-Volterra, nonlinear harvesting, square root functional response, stability analysis

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Ketersediaan

Informasi Detail

Judul Seri

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No. Panggil

1903110804

Penerbit

Pekanbaru : Universitas Riau – FMIPA – Matematika., 2024

Deskripsi Fisik

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Bahasa

Indonesia

ISBN/ISSN

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Klasifikasi

1903110804

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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