Lotka–Volterra with randomly fluctuating environments or “how switching between beneficial environments can make survival harder”

By M. Benaim, Claude Lobry. 2014

60 citations recorded by the source corpus.

We consider two dimensional Lotka-Volterra systems in fluctuating environment. Relying on recent results on stochastic persistence and piecewise deterministic Markov processes, we show that random switching between two environments both favorable to the same species can lead to the extinction of this species or coexistence of the species.

Subfields: Genetics, Public Health, Environmental and Occupational Health, Sociology and Political Science

View Paper: https://www.semanticscholar.org/paper/dc48ce46e34e5acb749f09b6d19ace70ff08c0cd

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Genetics

1. Dang Hai Nguyen
2. George Yin
3. Nhu Ngoc Nguyen
4. Jianhai Bao
5. Chenggui Yuan
6. Meng Liu

In Public Health, Environmental and Occupational Health

1. Dang Hai Nguyen
2. George Yin
3. Nhu Ngoc Nguyen
4. Meng Liu
5. Jianhai Bao
6. Chenggui Yuan

In Sociology and Political Science

1. George Yin
2. Dang Hai Nguyen
3. Nhu Ngoc Nguyen

Citations in the corpus

• General nonlinear stochastic systems motivated by chemostat models: Complete characterization of long-time behavior, optimal controls, and applications to wastewater treatment (2017, methodology): “Inspired by the use of the log-Laplace transform in [4, 5], we can follow the proof of [15, Proposition 4.”