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Global existence and asymptotic behaviour of solutions for a hyperbolic-parabolic model of chemotaxis on network
  • Yafeng Li,
  • Chunlai Mu,
  • Xin Qiao
Yafeng Li
Chongqing University

Corresponding Author:lyf911105@163.com

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Chunlai Mu
Chongqing University
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Xin Qiao
Yili Normal University
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In this paper, we discuss a hyperbolic-parabolic system modeling biological phenomena evolving on a network. The global existence of the is obtained by using energy estimates with suitable the transmission conditions at interior. Moreover, for the case of acyclic network, the existence and uniqueness of stationary solution to the system is proposed and it is proved that these ones are asymptotic profiles for a class of global solutions
28 Apr 2021Submitted to Mathematical Methods in the Applied Sciences
29 Apr 2021Submission Checks Completed
29 Apr 2021Assigned to Editor
04 May 2021Reviewer(s) Assigned
11 Jan 2022Review(s) Completed, Editorial Evaluation Pending
14 Jan 2022Editorial Decision: Revise Minor
24 Jan 20221st Revision Received
28 Jan 2022Submission Checks Completed
28 Jan 2022Assigned to Editor
28 Jan 2022Reviewer(s) Assigned
28 Jan 2022Review(s) Completed, Editorial Evaluation Pending
28 Jan 2022Editorial Decision: Accept