A study of prey-predator relations for mammals

Area of Science:

• Ecology
• Mathematical Biology
• Population Dynamics

Background:

• Mammalian predator-prey dynamics are complex, influenced by prey size, density, and habitat protection.
• Small prey are vulnerable at high densities, while large prey may exhibit group defense.
• Understanding these interactions is crucial for ecological modeling and conservation.

Purpose of the Study:

• To develop a nonlinear prey-predator model for mammals with large- and small-size prey species.
• To incorporate group defense mechanisms for large prey and density-dependent vulnerability for small prey.
• To introduce a new physical constant to model group defense capabilities in a partially protected habitat.

Main Methods:

• Development of a nonlinear mathematical model for prey-predator interactions.
• Introduction of a novel physical constant within boundary conditions to represent group defense.
• Numerical simulations conducted for a circular habitat to analyze population densities.
• Suggestion of methods for determining model constants from field observations.

Main Results:

• The model demonstrates that predators are attracted to areas with lower prey density.
• Numerical results indicate higher densities of large-size prey species in regions away from protected areas.
• The introduced physical constant effectively models the group defense capabilities of large prey.

Conclusions:

• The developed model provides insights into the spatial distribution of prey species based on size and defense strategies.
• The findings align with observational data regarding the distribution of large- and small-size prey in relation to predator presence.
• The study highlights the importance of incorporating group defense into ecological models for accurate population dynamics predictions.