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Boundedness and Asymptotic Behavior to a Chemotaxis System with Indirect Signal Generation and Singular Sensitivity

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  • Jie Wu
  • Li Zhao
  • Heping Pan

Abstract

In this paper, we consider the following indirect signal generation and singular sensitivity in a bounded domain with smooth boundary . Under the nonflux boundary conditions for , , and , we first eliminate the singularity of by using the Neumann heat semigroup and then establish the global boundedness and rates of convergence for solution.

Suggested Citation

  • Jie Wu & Li Zhao & Heping Pan, 2021. "Boundedness and Asymptotic Behavior to a Chemotaxis System with Indirect Signal Generation and Singular Sensitivity," Advances in Mathematical Physics, Hindawi, vol. 2021, pages 1-11, July.
    • Handle: RePEc:hin:jnlamp:5130409
    DOI: 10.1155/2021/5130409
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