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Volume 15, Number 1, 2025, Pages -                                                                DOI:10.11948/JAAC-2023-0391
On a partially degenerate reaction-advection-diffusion system with free boundary conditions
Dandan Zhu,Ying Xu,Xueping Li
Keywords:partially degenerate diffusion, free boundary problem, spreading and vanishing
Abstract:
      A partially degenerate reaction-diffusion system with advection term and free boundary conditions is investigated in this paper. Firstly, we present a spreadingvanishing dichotomy for the asymptotic behavior of solutions of the system. Then, we obtain criteria for spreading and vanishing. Moreover, numerical simulation is given to illustrate the theoretical results.
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