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Global stabilization and boundary control of coupled Fisher–Stream equation and application to SIS–Stream model

  • Fang Wang,
  • Yuting Liu,
  • Yuxue Chen

摘要

In this paper, the global stabilization of solutions to the initial-boundary value problem for the coupled model of the Fisher equation and Stream temperature equation (i.e., Fisher–Stream model) is studied. It is shown that under the non-homogeneous Dirichlet condition, the large time behavior of model analytical solutions is controlled by boundary conditions. Promoting to application, we establish similar conclusions in the coupled equation of the SIS model and Stream temperature equation.