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

Ailing Xiang; Liangchen Wang; Ailing Xiang; Liangchen Wang

doi:10.3934/era.2022099

Electronic Research Archive

2022, Volume 30, Issue 5: 1954-1972. doi: 10.3934/era.2022099

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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

Received: 12 December 2021 Revised: 15 March 2022 Accepted: 01 April 2022 Published: 12 April 2022

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.
- biological predator-prey model,
- boundedness,
- density-dependent motilities,
- stage structure,
- prey-taxis
Citation: Ailing Xiang, Liangchen Wang. Boundedness of a predator-prey model with density-dependent motilities and stage structure for the predator[J]. Electronic Research Archive, 2022, 30(5): 1954-1972. doi: 10.3934/era.2022099

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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.

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