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Propagation dynamics of two-species competition models in a periodic discrete habitat.
- Source :
-
Journal of Differential Equations . Dec2023, Vol. 377, p544-577. 34p. - Publication Year :
- 2023
-
Abstract
- This paper is devoted to the study of the propagation dynamics of a Lotka-Volterra two-species competition system in a periodic discrete habitat. Under appropriate assumptions, we show that a semi-trivial equilibrium is globally stable for the spatially periodic initial value problem. Then we establish the existence of the rightward spreading speed and its coincidence with the minimal wave speed for the spatially periodic rightward traveling waves. We further obtain sufficient conditions for the linear determinacy of the rightward spreading speed. Finally, we apply these results to a specific model of two-species competition and conduct numerical simulations for the spreading speed and traveling waves. [ABSTRACT FROM AUTHOR]
- Subjects :
- *COMPETITION (Biology)
*INITIAL value problems
*HABITATS
Subjects
Details
- Language :
- English
- ISSN :
- 00220396
- Volume :
- 377
- Database :
- Academic Search Index
- Journal :
- Journal of Differential Equations
- Publication Type :
- Academic Journal
- Accession number :
- 173232766
- Full Text :
- https://doi.org/10.1016/j.jde.2023.09.004