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Global Dynamics of a Two Species Competition Model in Open Stream Environments.
- Source :
-
Journal of Dynamics & Differential Equations . Jun2018, Vol. 30 Issue 2, p613-636. 24p. - Publication Year :
- 2018
-
Abstract
- This paper is concerned with a Lotka-Volterra competition system which describes the dynamics of two aquatic species in a river with unidirectional water flow. It is assumed that two species are identical except their movement strategies distinguished by diffusion and advection rates. Assume further that the downstream end of the river is open, then at this boundary there is always a net loss of individuals incurred by water flow. Our final results suggest that when the downstream loss is small, the strategy of a combination of faster diffusion but smaller advection is always beneficial for species to win the competition; while the movement of both faster diffusion and advection can be favorable or unfavorable depending on the gap between two advection rates. Some different dynamics are illustrated when the downstream loss becomes severe. [ABSTRACT FROM AUTHOR]
- Subjects :
- *HYDRAULICS
*FLUID dynamics
*ADVECTION
*DIFFUSION
*HEAT equation
*NUMERICAL analysis
Subjects
Details
- Language :
- English
- ISSN :
- 10407294
- Volume :
- 30
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Journal of Dynamics & Differential Equations
- Publication Type :
- Academic Journal
- Accession number :
- 130275267
- Full Text :
- https://doi.org/10.1007/s10884-016-9562-2