Abstract
This paper discusses a randomized n-species Lotka-Volterra competition system. We show that this system is stable in time average under certain conditions. Furthermore, there is a stationary distribution of this system, if extra conditions are satisfied. Also we give the extinction condition of this system. Finally, numerical simulations are carried out to support our results.
| Original language | English |
|---|---|
| Pages (from-to) | 582-595 |
| Number of pages | 14 |
| Journal | Journal of Mathematical Analysis and Applications |
| Volume | 390 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - 15 Jun 2012 |
UN SDGs
This output contributes to the following UN Sustainable Development Goals (SDGs)
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SDG 15 Life on Land
Keywords
- Brownian motion
- Ergodicity
- Extinction
- Itô formula
- Randomized Lotka-Volterra competition system
- Stable in time average
- Stationary distribution
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