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Boundedness in a predator-prey system with prey-taxis and nonlinear gradient-dependent sensitivity
  • Mi Yingyuan,
  • Song Cui
Mi Yingyuan
Lanzhou University

Corresponding Author:myypde@126.com

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Song Cui
Lanzhou University
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Abstract

In this paper, we extend the gradient-dependent nonlinear sensitivity assumption of Keller-Segel-Navier-Stokes system [M. Winkler, Z. Angew. Math. Phys. 2021] to predator-prey and Keller-Segel systems in two dimensions. Under appropriate regularity assumption on the initial data, the global boundedness of classical solution is obtained.
01 Jul 2022Submitted to Mathematical Methods in the Applied Sciences
04 Jul 2022Submission Checks Completed
04 Jul 2022Assigned to Editor
08 Jul 2022Reviewer(s) Assigned
13 Oct 2022Review(s) Completed, Editorial Evaluation Pending
14 Oct 2022Editorial Decision: Revise Minor
31 Oct 20221st Revision Received
01 Nov 2022Submission Checks Completed
01 Nov 2022Assigned to Editor
01 Nov 2022Review(s) Completed, Editorial Evaluation Pending
01 Nov 2022Reviewer(s) Assigned
03 Nov 2022Editorial Decision: Accept