Related Experiment Video
Updated: May 29, 2025

A Real-Time Interactive System for Studying Confrontational Pursuit Behavior in Rodents
Published on: May 16, 2025
Exploring complex dynamics in a Ricker type predator-prey model with prey refuge.
Ibraheem M Alsulami1, Rizwan Ahmed2, Faraha Ashraf3
1Mathematics Department, Faculty of Science, Umm Al-Qura University, Makkah 21955, Saudi Arabia.
Prey refuge stabilizes predator-prey models, enhancing ecosystem resilience. This study analyzes fixed points and bifurcations in a discrete-time model, confirming refuge
Area of Science:
- Ecological dynamics
- Mathematical biology
- Nonlinear dynamics
Background:
- Predator-prey models are fundamental in ecology.
- Discrete-time models offer insights into population fluctuations.
- Prey refuge is a crucial factor influencing population stability.
Purpose of the Study:
- To investigate the impact of prey refuge on a discrete-time predator-prey model.
- To analyze the stability of the model's fixed points.
- To explore bifurcations (period-doubling and Neimark-Sacker) using bifurcation theory.
Main Methods:
- Analysis of fixed points and their stability.
- Application of center manifold theory.
- Utilizing bifurcation theory to study dynamic transitions.
- Numerical simulations for validation.
Main Results:
- The existence and stability of fixed points were thoroughly examined.
- Period-doubling and Neimark-Sacker bifurcations were identified and analyzed.
- Numerical simulations corroborated the theoretical findings.
- Prey refuge demonstrated a significant stabilizing effect on the model.
Conclusions:
- Integrating prey refuge enhances the stability and resilience of predator-prey systems.
- The discrete-time model with refuge provides a more realistic ecological framework.
- Bifurcation analysis reveals complex dynamics influenced by refuge.
More Related Videos
09:23Methodology for Developing Life Tables for Sessile Insects in the Field Using the Whitefly, Bemisia tabaci, in Cotton As a Model System
Published on: November 1, 2017
20:36Predicting the Effectiveness of Population Replacement Strategy Using Mathematical Modeling
Published on: July 4, 2007
Related Concept Videos
Predator-Prey Interactions
Trophic Efficiency
Life Histories
Conservation of Declining Populations
Conservation of Small Populations
Dynamic Equilibrium