Analysis of nonconstant steady states in a cross-diffusive predator-prey system with Allee effect and generalized Holling IV response

Key Points

• New nonconstant steady states indicate complex dynamics within the predator-prey model, affecting ecosystem stability.
• The analysis emphasizes the role of the Allee effect in influencing these steady states, highlighting its ecological significance.
• Cross-diffusion is examined in the context of the generalized Holling IV response, offering deeper insights into species interactions.
• Findings suggest the need to consider Allee effects in ecological modeling for predicting population behavior.