Dynamics and spatio-temporal patterns in a prey-predator system with aposematic prey

Area of Science:

• Ecology
• Mathematical Biology
• Population Dynamics

Background:

• Predator-prey systems are fundamental to ecological dynamics.
• Prey defense strategies and foraging efficiency significantly influence population stability.
• Understanding these factors is crucial for predicting ecosystem behavior.

Purpose of the Study:

• To analyze how prey aposematic time and searching efficiency affect predator-prey system dynamics.
• To investigate the impact on temporal and spatio-temporal patterns.
• To explore bifurcation phenomena and pattern formation.

Main Methods:

• Development of a diffusive prey-predator model.
• Analysis of system dynamics based on prey's time allocation (defense vs. foraging).
• Mathematical investigation of Hopf and Turing-Hopf bifurcations.

Main Results:

• Aposematic time, beyond a threshold, reduces coexistence and can lead to extinction.
• Prey searching efficiency influences Hopf-bifurcation.
• Varying defense and foraging times create distinct spatial patterns (spots, stripes, holes).

Conclusions:

• Aposematic time is a critical factor that can destabilize prey-predator coexistence.
• Combined effects of defense and foraging lead to predator-dominated spot patterns.
• The study highlights complex pattern formation driven by prey behavioral strategies.