| Abstract: |
| In this talk, we consider a three-component reaction-diffusion system, originating from the classical May-Nowak model for viral infections with superlinear dampening −μuα. Existence of classical solutions is verified and large time behavior of the solutions are investigated under the condition α>n+22, while generalized solutions are constructed for arbitrary α>1. In addition, based on an analysis of a certain eventual Lyapunov-type functional, we prove that whenever α>max, the corresponding generalized solution asymptotically enjoys relaxation by approaching the nontrivial homogeneous steady states. |
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