Finite dimensional asymptotic behavior of a predator-prey model with diffusion
Finite dimensional asymptotic behavior of a predator-prey model with diffusion
The predator-prey model is an essential tool in mathematical ecology and specifically for our understanding of interacting populations in the natural environment. We consider a predatorprey model with variable carrying capacity and cross-diffusion. First, we recall some recent results on the existence and regularity of inertial manifolds for nonautonomous evolution equations involving sectorial operators.