Open AccessBoundedness of a predator-prey model with density-dependent motilities and stage structure for the predator
Author(s) -
Ailing Xiang,
Liangchen Wang
Publication year - 2022
Publication title -
electronic research archive
Language(s) - English
Resource type - Journals
ISSN - 2688-1594
DOI - 10.3934/era.2022099
Subject(s) - predator , predation , mathematics , taxis , ecology , biology , botany
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.