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Articles
DOI: 10.29303/emj.v6i2.191
Submitted: 2023-12-02
Published: 2024-01-13

Stability Analysis of a Predator-prey Model with Anti-Predator Behavior and Allee Effect on Prey

Program Studi D3 Teknik Pertambangan
Universitas Muhammadiyah Kudus
Universitas Nahdlatul Ulama Blitar
Predator-Prey Allee Effect Anti Predator Runge-Kutta

Abstract

We explore a predator-prey model that incorporates both anti-predator behavior by the prey and the Allee effect, where population growth declines at low densities. Four equilibrium points emerge: extinction for both species (E0), two predator extinction points (E1 and E2), and one coexistence point for both populations (E3). While the stability of E0, E2, and E3 depends on the given parameters, E1 is always unstable. We then verified this analysis through numerical simulations using Runge-Kutta method in Python.

References

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How to Cite

Rasikhun, H., Putra, M. A. J. D., & Robbi, R. R. (2024). Stability Analysis of a Predator-prey Model with Anti-Predator Behavior and Allee Effect on Prey. EIGEN MATHEMATICS JOURNAL, 6(2), 92–96. https://doi.org/10.29303/emj.v6i2.191