Global well-posedness and stability analysis of prey-predator model with indirect prey-taxis
- Authors
- Ahn, Inkyung; Yoon, Changwook
- Issue Date
- 5-4월-2020
- Publisher
- ACADEMIC PRESS INC ELSEVIER SCIENCE
- Keywords
- Prey-predator model; Prey-taxis; Pattern formation
- Citation
- JOURNAL OF DIFFERENTIAL EQUATIONS, v.268, no.8, pp.4222 - 4255
- Indexed
- SCIE
SCOPUS
- Journal Title
- JOURNAL OF DIFFERENTIAL EQUATIONS
- Volume
- 268
- Number
- 8
- Start Page
- 4222
- End Page
- 4255
- URI
- https://scholar.korea.ac.kr/handle/2021.sw.korea/56651
- DOI
- 10.1016/j.jde.2019.10.019
- ISSN
- 0022-0396
- Abstract
- This paper deals with a prey-predator model with indirect prey-taxis, which means chemical of prey causes the directional movement of the predator. We prove the global existence and uniform boundedness of solutions to the model for general functional responses in any spatial dimensions. Moreover, through linear stability analysis, it turns out that prey-taxis is an essential factor in generating pattern formations. This result differs in that the destabilizing effect of taxis does not occur in the direct prey-taxis case. In addition, we show the global stability of the semi-trivial steady state and coexistence steady state for some specific functional responses. We give numerical examples to support the analytic results. (C) 2019 Elsevier Inc. All rights reserved.
- Files in This Item
- There are no files associated with this item.
- Appears in
Collections - College of Science and Technology > Data Computational Sciences in Division of Applied Mathematical Sciences > 1. Journal Articles
Items in ScholarWorks are protected by copyright, with all rights reserved, unless otherwise indicated.