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Uniform persistence for sigmoidal diet selection with keystone prey species
1The Ramkrishna Research Institute for Science, Calcutta, India.
Journal of Mathematical Biology
|August 25, 2000
Summary
This study explores uniform persistence (UP) in predator-prey models with novel diet selection. Adaptive foraging can promote UP, especially when the most profitable prey is a keystone species.
Area of Science:
- Ecology
- Mathematical Biology
- Population Dynamics
Background:
- Traditional predator-prey models often use step functions for diet choice.
- Understanding species persistence is crucial for ecosystem stability.
Purpose of the Study:
- To investigate uniform persistence (UP) criteria in two-prey, one-predator systems.
- To analyze the impact of sigmoidal diet selection and interspecific competition on UP.
Main Methods:
- Developed a mathematical model for predator-prey dynamics.
- Incorporated a sigmoidal function for predator diet selection based on prey profitability.
- Derived conditions for uniform persistence (UP).
Main Results:
- Sigmoidal diet selection can promote UP, influenced by keystone species, carrying capacity, and prey profitability ratios.
- Foraging rules are less critical for UP when the alternative prey is the keystone species.
- Prey dominance or competitive coexistence did not universally affect UP outcomes.
Conclusions:
- The study provides new criteria for uniform persistence in complex predator-prey interactions.
- Highlights the importance of adaptive foraging and prey characteristics in maintaining ecosystem stability.
- Suggests that prey dominance can be advantageous for ensuring system persistence.