Boundedness in a predator-prey system with prey-taxis and nonlinear gradient-dependent sensitivity

Mi Yingyuan; Song Cui

doi:10.22541/au.165691446.67901717/v1

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Boundedness in a predator-prey system with prey-taxis and nonlinear gradient-dependent sensitivity

Mi Yingyuan,
Song Cui

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

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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

Abstract

Peer review status:ACCEPTED