Abstract
This research explores a three-species model of prey and predator interactions, which includes primary and secondary prey and a predator. The main concern is the potential disturbance caused by uncontrolled predator attacks, which can harm the coexistence of species and disrupt the entire food chain system. Thus, this research aims to analyse the impact of predator attacks on primary and secondary prey, focusing on coexistence dynamics or potential extinction within the system. The approach involves formulating a simplified ordinary differential equation for a two-prey and one-predator system, calculating equilibrium points, and performing theoretical stability analysis. Numerical simulations are executed using Maple and MATLAB software to validate the theoretical findings, providing a strong foundation for the research outcomes. The main findings indicate that high-intensity predator attacks can result in the extinction of prey populations, while moderate-intensity attacks facilitate the coexistence of all species. In summary, this research emphasises the significant role of comprehending the interactions between predators and prey within ecological environments. Through clarifying the consequences of predator attacks on prey populations and their survival or disappearance trends, this research provides essential perspectives for initiatives aimed at ecological preservation.
Metadata
Item Type: | Article |
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Creators: | Creators Email / ID Num. Abdul Manaf, Zati Iwani zati431@uitm.edu.my Othman, Suziana Aida suziana554@uitm.edu.my Wan Nordin, Wan Nurul Husna husna78@uitm.edu.my |
Subjects: | Q Science > QA Mathematics Q Science > QA Mathematics > Instruments and machines > Electronic Computers. Computer Science |
Divisions: | Universiti Teknologi MARA, Perak > Tapah Campus > Faculty of Computer and Mathematical Sciences |
Journal or Publication Title: | Mathematical Sciences and Informatics Journal (MIJ) |
UiTM Journal Collections: | UiTM Journal > Mathematical Science and Information Journal (MIJ) |
ISSN: | 2735-0703 |
Volume: | 5 |
Number: | 1 |
Page Range: | pp. 58-71 |
Keywords: | Prey-predator system; Three-species model; Stability analysis; Numerical simulation; Attack rate |
Date: | May 2024 |
URI: | https://ir.uitm.edu.my/id/eprint/98692 |