Large Time Behaviour for a Prey-Taxis System
DOI:
https://doi.org/10.4208/jpde.v38.n1.1Keywords:
Asymptotic behavior, prey-taxis, dissipativity, global attractor, $L^p-L^q$ estimate.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.