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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
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Chunlai Mu
Chongqing University
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Xin Qiao
Yili Normal University
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Abstract

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

Peer review status:UNDER REVIEW

28 Apr 2021Submitted to Mathematical Methods in the Applied Sciences
29 Apr 2021Assigned to Editor
29 Apr 2021Submission Checks Completed
04 May 2021Reviewer(s) Assigned