Loading...
Global existence of solutions and uniform persistence of a diffusive predator-prey model with prey-taxis
Wu, Sainan Wu, Boying Shi, Junping
Wu, Sainan
Wu, Boying
Shi, Junping
Abstract
This paper proves the global existence and boundedness of solutions to a general reaction diffusion predator prey system with prey-taxis defined on a smooth bounded domain with no-flux boundary condition. The result holds for domains in arbitrary spatial dimension and small prey-taxis sensitivity coefficient. This paper also proves the existence of a global attractor and the uniform persistence of the system under some additional conditions. Applications to models from ecology and chemotaxis are discussed. (C) 2016 Elsevier Inc. All rights reserved.
Description
Date
2016-01-01
Journal Title
Journal ISSN
Volume Title
Publisher
Collections
Download Dataset
Files
Loading...
global.pdf
Adobe PDF, 437.81 KB
Rights Holder
Usage License
Embargo
Research Projects
Organizational Units
Journal Issue
Keywords
Citation
Advisor
Department
Mathematics
DOI
10.1016/j.jde.2015.12.024