Effect of prey-taxis on predator's invasion in a spatially heterogeneous environment
- Authors
- Choi, Wonhyung; Ahn, Inkyung
- Issue Date
- 12월-2019
- Publisher
- PERGAMON-ELSEVIER SCIENCE LTD
- Keywords
- Prey-taxis; Local stability; Invasion; Spatially heterogeneous environment
- Citation
- APPLIED MATHEMATICS LETTERS, v.98, pp.256 - 262
- Indexed
- SCIE
SCOPUS
- Journal Title
- APPLIED MATHEMATICS LETTERS
- Volume
- 98
- Start Page
- 256
- End Page
- 262
- URI
- https://scholar.korea.ac.kr/handle/2021.sw.korea/61471
- DOI
- 10.1016/j.aml.2019.06.021
- ISSN
- 0893-9659
- Abstract
- In this study, we consider a diffusive predator-prey system with prey-taxis and ratio-dependent functional responses in a spatially heterogeneous environment. Prey-taxis implies that the predator exhibits directed movement in the presence of prey. We claim that when the predator diffuses uniformly without prey-taxis, only the diffusion of the species plays a role in the predator's invasion in a spatially homogeneous environment. However, when the predator disperses through uniform diffusion together with prey-taxis, we observe that both the diffusion of species and prey-taxis affect the invasion of the predator, which is not the case in a spatially homogeneous environment. The results are obtained by investigating the local stability of a semi-trivial solution, using an eigenvalue analysis. (C) 2019 Elsevier Ltd. All rights reserved.
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Collections - College of Science and Technology > Data Computational Sciences in Division of Applied Mathematical Sciences > 1. Journal Articles
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