118 citations · 247 across the 28 of their papers we have counts for
4 papers · 1 filter
Stochastic persistence in degenerate stochastic Lotka-Volterra food chains
Michel Benaïm, Antoine Bourquin, Dang H. Nguyen
We consider a Lotka-Volterra food chain model with possibly intra-specific competition in a stochastic environment represented by stochastic differential equations. In the non-dege…
A general theory of coexistence and extinction for stochastic ecological communities
Alexandru Hening, Dang H. Nguyen, Peter Chesson
We analyze a general theory for coexistence and extinction of ecological communities that are influenced by stochastic temporal environmental fluctuations. The results apply to dis…
A classification of the dynamics of three-dimensional stochastic ecological systems
Alexandru Hening, Dang H. Nguyen, Sebastian J. Schreiber
The classification of the long-term behavior of dynamical systems is a fundamental problem in mathematics. For both deterministic and stochastic dynamics specific classes of models…
A method to deal with the critical case in stochastic population dynamics
Dang H. Nguyen, Edouard Strickler
In numerous papers, the behaviour of stochastic population models is investigated through the sign of a real quantity which is the growth rate of the population near the extinction…