| Abstract: |
| The lottery model describes competition for recourses among ecological species under temporally varying stochastic environments. This talk includes two models derived from diffusion approximation: a two-species model in non-stationary stochastic environments described by non-autonomous stochastic differential equations, and an $n$-species model in stationary stochastic environments described by autonomous stochastic differential equations. Long-term dynamics will be discussed and conditions for co-existence or distinction will be developed. |
|