Unnes Journal of Mathematics
Vol 12 No 2 (2023): Unnes Journal of Mathematics

The influence of Allee effect, refugia, and alternative food on a three-species predator-prey model

Haya Rohmatunnisa (Student)
Tri Sri Noor Asih (Department of Mathematics, Universitas Negeri Semarang)
Stevanus Budi Waluya (Mathematics Department, Universitas Negeri Semarang)
Muhammad Fajar Safaatullah (Mathematics Department, Universitas Negeri Semarang)



Article Info

Publish Date
03 Jun 2024

Abstract

This research presents a mathematical model for a three-species predator-prey system, incorporating the Allee effect, refugia, and alternative food. The interactions between prey and intermediate predator, as well as intermediate predator and top predator, are modeled using Holling type II response functions. The resulting system of nonlinear equations yields four equilibrium points, one unstable and three stable locally. Analytical calculations indicate that refugia and alternative food minimally affect the top predator's population growth, while the Allee effect influences the growth of prey and intermediate predator populations. Numerical simulations further support these findings, highlighting the nuanced impacts of these factors on the dynamics of the three-species system.

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Journal Info

Abbrev

ujm

Publisher

Subject

Mathematics

Description

Unnes Journal of Mathematics (UJM) publishes research issues on mathematics and its apllication. The UJM processes manuscripts resulted from a research in mathematics and its application scope, which includes. The scopes include research in: 1. Algebra 2. Analysis 3. Discrete Mathematics and Graph ...