Analyzing a Predator-Prey Model with Double Allee Effect
Author Information
Author(s): K. Ramesh, Kumar G. Ranjith, Khan Aziz, Abdeljawad Thabet
Primary Institution: Department of Mathematics, Anurag University, Hyderabad, India
Hypothesis
How does the double Allee effect influence the dynamics of predator-prey interactions?
Conclusion
The study shows that the double Allee effect can significantly impact the stability and dynamics of predator-prey populations.
Supporting Evidence
- The study provides analytical results for the stability of equilibrium points under strong and weak Allee effects.
- Numerical simulations validate the theoretical findings and demonstrate the dynamics of the model.
- The research highlights the importance of considering memory effects in predator-prey models.
Takeaway
This study looks at how two factors can make it harder for prey populations to grow, which can affect both prey and predators in nature.
Methodology
The study uses a mathematical model incorporating fractional derivatives to analyze predator-prey dynamics under the influence of the double Allee effect.
Limitations
The model may not capture all real-world complexities of predator-prey interactions.
Digital Object Identifier (DOI)
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