Strong competition model with non-uniform dispersal in a heterogeneous environment
- Authors
- Choi, Wonhyung; Ahn, Inkyung
- Issue Date
- 2월-2019
- Publisher
- PERGAMON-ELSEVIER SCIENCE LTD
- Keywords
- Strong competition model; Starvation driven diffusion; Local stability; Mobility ratio
- Citation
- APPLIED MATHEMATICS LETTERS, v.88, pp.96 - 102
- Indexed
- SCIE
SCOPUS
- Journal Title
- APPLIED MATHEMATICS LETTERS
- Volume
- 88
- Start Page
- 96
- End Page
- 102
- URI
- https://scholar.korea.ac.kr/handle/2021.sw.korea/67742
- DOI
- 10.1016/j.aml.2018.08.014
- ISSN
- 0893-9659
- Abstract
- In this study, a strong competition model was considered between two species in a heterogeneous environment. For a system with two different constant diffusion rates for each competitor, the fast diffuser can be selected evolutionally under suitable assumptions if the competing interaction between the species is strong. We also claim that a strongly interacting competition leads to a more evolutionary selection than that with the same population dynamics if a species moves with a certain non-uniform dispersal. Furthermore, species with a certain non-uniform dispersal have a competitive advantage over linear random diffusers. In addition, a species with highly sensitive dispersal response to the environment may survive. These strongly competitive advantages were demonstrated by investigating the stability of semi-trivial solutions of the system with non-uniform dispersal and comparing it to the conditions of the model with constant diffusion. (C) 2018 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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