Global solutions for a general strongly coupled prey–predator model

This work investigates global solutions for a general strongly coupled prey–predator model that involves (self-)diffusion and cross-diffusion, where the cross-diffusion is of the form v/(1+uℓ)v/(1+uℓ) with ℓ≥1ℓ≥1. Very few mathematical results are known for such models, especially in higher spatial dimensions.