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Generalized solutions and attractiveness of constant states in a chemotaxis-May-Nowak Model for virus infection with arbitrary superlinear dampening
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DOI:10.1142/S0218202525500095.png)
Abstract
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In this paper, a three-component reaction-diffusion system originating from the classical May-Nowak model for viral infection is considered in a smoothly bounded domain Omega subset of & Ropf;(n),n >= 1. It is shown that for any suitably regular non-negative initial data and arbitrary superlinear dampening, the associated no-flux type initial-boundary value problem possesses at least one globally defined solution in an appropriate generalized sense. In addition, based on an analysis of a certain eventual Lyapunov-type functional, we prove that the corresponding generalized solution asymptotically enjoys relaxation by approaching the nontrivial homogeneous steady states in the large time limit.
Keywords:
Chemotaxis
May-Nowak model
logistic source
generalized solution
stabilization
Journal
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3
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2.2K
Citations:
4.6K
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