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 - <p style="text-align: justify;">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.</p>