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Research Article | Open Access

Boundedness of a predator-prey model with density-dependent motilities and stage structure for the predator

Ailing Xiang, Liangchen Wang( )
School of Science, Chongqing University of Posts and Telecommunications, Chongqing 400065, China
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Abstract

In this paper, we consider a predator-prey model with density-dependent prey-taxis and stage structure for the predator. We establish the existence of classical solutions with uniform-in-time bound in a one-dimensional case. In addition, we prove that the solution stabilizes to the prey-only steady state under some conditions.

Keywords

biological predator-prey modelboundednessdensity-dependent motilitiesstage structureprey-taxis

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Electronic Research Archive
Volume 30 Issue 5,
May 2022
Pages 1954-1972
DOI: 10.3934/era.2022099

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Cite this article:
Xiang A, Wang L. Boundedness of a predator-prey model with density-dependent motilities and stage structure for the predator. Electronic Research Archive, 2022, 30(5): 1954-1972. https://doi.org/10.3934/era.2022099

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Received: 12 December 2021
Revised: 15 March 2022
Accepted: 01 April 2022
Published: 15 May 2022
©2022 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)