Year: 2025
Author: Haojie Guo, Haifeng Sang
Journal of Partial Differential Equations, Vol. 38 (2025), Iss. 1 : pp. 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jpde.v38.n1.1
Journal of Partial Differential Equations, Vol. 38 (2025), Iss. 1 : pp. 1–20
Published online: 2025-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 20
Keywords: Asymptotic behavior prey-taxis dissipativity global attractor $L^p-L^q$ estimate.