Dynamics of reaction–diffusion equations for modeling CD4+ T cells decline with general infection mechanism and distinct dispersal rates

Abstract In this paper, we are concerned with a diffusive viral infection dynamical model with general infection mechanism and distinct dispersal rates. In a general setting in which the model parameters are spatially heterogeneous, it is shown that if ℛ 0 ≤ 1 , the infection-free steady state is globally asymptotically stable; while if ℛ 0 > 1 , the model is uniformly persistent. The asymptotic profiles of the infection steady state are discussed as the dispersal rate of uninfected CD4 + T cells approaches zero by means of the persistence theory of semidynamical systems and the eigenvalue theory of elliptic equations.

• Publication year

  2020

• Venue

  Nonlinear Analysis-real World Applications

• Publication date

  2020-02-01

• Fields of study

  Mathematics, Medicine

• Identifiers
  DOI 10.1016/J.NONRWA.2019.102976
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

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