Cooperation delay induced chaos in an ecological system.

Area of Science:

• Ecology
• Mathematical Biology
• Population Dynamics

Background:

• Cooperative hunting is crucial for predator success.
• Predator aggregation is often delayed due to communication and coordination challenges.

Purpose of the Study:

• To investigate the ecological impact of time delays in cooperative hunting within a predator-prey model.
• To analyze how communication delays affect population dynamics and system stability.

Main Methods:

• Development of a mathematical predator-prey model incorporating time delays.
• Analysis of system dynamics across various parameter spaces, including bi-parameter planes.
• Investigation of system behavior with increasing delay strength and threshold analysis.

Main Results:

• Time delays can have both stabilizing and destabilizing effects on the predator-prey system.
• Increased delay strength can lead to multiple switches in system dynamics, potentially resulting in chaos.
• The system may exhibit multistability, coexistence of multiple attractors, and altered basins of attraction.

Conclusions:

• Predator population dynamics are sensitive to the strength and threshold of cooperation delays.
• Depending on initial conditions and delay parameters, outcomes can range from stable coexistence to predator extinction.