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Volume 38, Issue 1
Large Time Behaviour for a Prey-Taxis System

Haojie Guo & Haifeng Sang

DOI: 10.4208/jpde.v38.n1.1

J. Part. Diff. Eq., 38 (2025), pp. 1-20.

Published online: 2025-04

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  • Abstract

The large time behaviour for a more general prey-axis system is considered. The asymptotically uniform boundedness of solutions in a suitable space is derived to ensure the dissipativity of the system. Based on the dissipativity of the system, the existence of a global attractor is obtained. The main technique used in this paper is the $L^{p}-L^{q}$ estimation method.

  • Keywords

Asymptotic behavior, prey-taxis, dissipativity, global attractor, $L^p-L^q$ estimate.

  • AMS Subject Headings

35B40, 35B41, 35B45, 35K57, 35Q92, 92C17

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JPDE-38-1, author = {Guo , Haojie and Sang , Haifeng}, title = {Large Time Behaviour for a Prey-Taxis System}, journal = {Journal of Partial Differential Equations}, year = {2025}, volume = {38}, number = {1}, pages = {1--20}, abstract = {

The large time behaviour for a more general prey-axis system is considered. The asymptotically uniform boundedness of solutions in a suitable space is derived to ensure the dissipativity of the system. Based on the dissipativity of the system, the existence of a global attractor is obtained. The main technique used in this paper is the $L^{p}-L^{q}$ estimation method.

}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v38.n1.1}, url = {http://global-sci.org/intro/article_detail/jpde/23950.html} }
TY - JOUR T1 - Large Time Behaviour for a Prey-Taxis System AU - Guo , Haojie AU - Sang , Haifeng JO - Journal of Partial Differential Equations VL - 1 SP - 1 EP - 20 PY - 2025 DA - 2025/04 SN - 38 DO - http://doi.org/10.4208/jpde.v38.n1.1 UR - https://global-sci.org/intro/article_detail/jpde/23950.html KW - Asymptotic behavior, prey-taxis, dissipativity, global attractor, $L^p-L^q$ estimate. AB -

The large time behaviour for a more general prey-axis system is considered. The asymptotically uniform boundedness of solutions in a suitable space is derived to ensure the dissipativity of the system. Based on the dissipativity of the system, the existence of a global attractor is obtained. The main technique used in this paper is the $L^{p}-L^{q}$ estimation method.

Guo , Haojie and Sang , Haifeng. (2025). Large Time Behaviour for a Prey-Taxis System. Journal of Partial Differential Equations. 38 (1). 1-20. doi:10.4208/jpde.v38.n1.1
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