Dynamics of Lotka-Volterra Competition Systems with Fokker-Planck Diffusion
Joint Authors
Source
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-09-02
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
We consider competition systems of two species which have different dispersal strategies and interspecific competitive strengths.
One of the dispersal strategies is random dispersal and the other is a Fokker-Planck diffusion whose motility is piecewise constant and jumps up when the resource is not enough.
In this paper, first we show the Fokker-Planck diffusion allows ideal free distribution.
Next we show the linear stability of semitrivial steady states is determined exactly by a threshold on the interspecific competitive strengths.
Some conditions for coexistence and global asymptotic stability are also provided.
American Psychological Association (APA)
Chung, Jaywan& Kwon, Ohsang. 2018. Dynamics of Lotka-Volterra Competition Systems with Fokker-Planck Diffusion. Journal of Function Spaces،Vol. 2018, no. 2018, pp.1-12.
https://search.emarefa.net/detail/BIM-1186573
Modern Language Association (MLA)
Chung, Jaywan& Kwon, Ohsang. Dynamics of Lotka-Volterra Competition Systems with Fokker-Planck Diffusion. Journal of Function Spaces No. 2018 (2018), pp.1-12.
https://search.emarefa.net/detail/BIM-1186573
American Medical Association (AMA)
Chung, Jaywan& Kwon, Ohsang. Dynamics of Lotka-Volterra Competition Systems with Fokker-Planck Diffusion. Journal of Function Spaces. 2018. Vol. 2018, no. 2018, pp.1-12.
https://search.emarefa.net/detail/BIM-1186573
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1186573
