On the pullback attractor for the non-autonomous SIR equations with diffusion

In this paper, we study the dynamics of a non-autonomous SIR model with diffusion. We first prove that the (L2,L2) pullback attractor attracts any bounded subset of L2 in the topology of L2+δ for any δ⩾0. Then we show that the (L2,L2) pullback attractor is indeed a (L2,L2+δ) pullback attractor.