# Coexistence and extinction for stochastic Kolmogorov systems

@article{Hening2018CoexistenceAE, title={Coexistence and extinction for stochastic Kolmogorov systems}, author={Alexandru Hening and Dang Hai Nguyen}, journal={The Annals of Applied Probability}, year={2018} }

In recent years there has been a growing interest in the study of the dynamics of stochastic populations. A key question in population biology is to understand the conditions under which populations coexist or go extinct. Theoretical and empirical studies have shown that coexistence can be facilitated or negated by both biotic interactions and environmental fluctuations. We study the dynamics of $n$ populations that live in a stochastic environment and which can interact nonlinearly (through…

## 79 Citations

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