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Functional response and population dynamics for fighting predator, based on activity distribution.
József Garay1, Zoltán Varga2, Manuel Gámez3
1Research Group of Theoretical Biology and Ecology of Hungarian Academy of Sciences and Department of Plant Systematics, Ecology and Theoretical Biology, L. Eötvös University, Pázmány P. sétány 1/C, H-1117 Budapest, Hungary.
This study generalizes predator-prey models by incorporating predator interference and encounter dynamics. Surprisingly, higher predator abundance and earlier coexistence were observed in three-individual encounters under specific conditions.
Area of Science:
- Ecology
- Mathematical Biology
- Population Dynamics
Background:
- The Holling type II functional response models predator-prey interactions.
- Beddington-de Angelis modified this to include predator interference.
- Previous models did not fully account for the time duration of all predator activities.
Purpose of the Study:
- To generalize the Beddington-de Angelis functional response.
- To introduce a functional response for fighting predators in predator-predator-prey encounters.
- To analyze population dynamics including predator interference and encounter probabilities.
Main Methods:
- Developed a generalized functional response incorporating time-dependent predator activities.
- Analyzed dynamics of two-individual (predator-prey) and three-individual (predator-predator-prey) encounters.
- Used numerical simulations to explore model behavior.
Main Results:
- Derived conditions for stable coexistence based on activity distribution.
- Found that three-individual encounters can lead to higher equilibrium predator abundance.
- Observed that coexistence may appear earlier in the three-individual encounter model.
Conclusions:
- The generalized model offers a more comprehensive understanding of predator-prey dynamics.
- Predator interference and encounter complexity significantly impact population stability and abundance.
- Three-individual encounters present unique dynamics that can promote predator persistence.
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