3 papers
math.DS2019
Permanence and universal classification of discrete-time competitive systems via the carrying simplex
Mats Gyllenberg, Jifa Jiang, Lei Niu +1
We study the permanence and impermanence for discrete-time Kolmogorov systems admitting a carrying simplex. Sufficient conditions to guarantee permanence and impermanence are provi…
math.DS2019
Linearization and invariant manifolds on the carrying simplex for competitive maps
Janusz Mierczyński, Lei Niu, Alfonso Ruiz-Herrera
A folklore result due to M.W. Hirsch states that most competitive maps admit a carrying simplex, i.e., an invariant hypersurface which attracts all nontrivial orbits. The common ap…
math.DS2016
The Decomposition Formula and Stationary Measures for Stochastic Lotka-Volterra Systems with Applications to Turbulent Convection
Lifeng Chen, Zhao Dong, Jifa Jiang +2
Motivated by the work of Busse et al. [6] on turbulent convection in a rotating layer, we exploit the long-run behavior for stochastic Lotka-Volterra (LV) systems both in pull-back…