CD Skripsi

Stabilitas Model Predator-Prey Leslie-Gower Dengan Respon Fungsional Holling Tipe-I Dan Allee Effect

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This final project discusses the dynamic behavior of the Leslie-Gower predator- prey model which involves the interaction of the predator and prey populations with the growth rate of the predator population being proportional to the num- ber of prey which are available. The model described involves a type-I Holling functional response and a prey population influenced by Allee, where the type- I Holling functional response is characterized by a linear relationship between consumption level and prey density. Meanwhile, Allee effect on prey influences an increase in the reproduction number of the prey population which depends on the density of the prey population. In the observed model, there are predator free equilibrium points and positive equilibrium points with different types of stability. The types of stability analyzed in this final project are unstable no- de, saddle point, saddle node with unstable parabolic sector, saddle node with stable parabolic sector, sink, source, and center. Based on the analysis results obtained, the predator and prey populations can reach equilibrium when the stability of the equilibrium point is of the type saddle node with stable parabolic sector.

Keywords: Predator-prey model, Leslie-Gower, Allee effect, Holling functional response, stability

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Ketersediaan

Informasi Detail

Judul Seri

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No. Panggil

1903110752

Penerbit

Pekanbaru : Universitas Riau – FMIPA – Matematika., 2024

Deskripsi Fisik

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Bahasa

Indonesia

ISBN/ISSN

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Klasifikasi

1903110752

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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