Rendiconti dell’Istituto di matematica dell’Università di Trieste: an International Journal of Mathematics
Abstract
We study an interesting model, with reaction terms of Lotka-Volterra type, where diffusion and reaction have polynomial growth of any order. We establish existence of global attractors as well as exponential attractors. In the sequel we study the long time dynamics of an appropriate semigroup and show that it possesses a global attractor (and exponential attractors) in a certain Banach space.
