3 citations · 6 across the 7 of their papers we have counts for
7 papers
On Limit Measures and Their Supports for Stochastic Ordinary Differential Equations
Tianyuan Xu, Lifeng Chen, Jifa Jiang
This paper studies limit measures of stationary measures of stochastic ordinary differential equations on the Euclidean space and tries to determine which invariant measures of an…
Extinction and quasi-stationarity for discrete-time, endemic SIS and SIR models
Sebastian J. Schreiber, Shuo Huang, Jifa Jiang +1
Stochastic discrete-time SIS and SIR models of endemic diseases are introduced and analyzed. For the deterministic, mean-field model, the basic reproductive number determines…
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…
Small-gain theorems for nonlinear stochastic systems with inputs and outputs II: Multiplicative white noise case
Jifa Jiang, Xiang Lv
This paper is a continuation of the paper \cite{JL}, which focuses on exploring the global stability of nonlinear stochastic feedback systems on the nonnegative orthant driven by m…
On Limiting Behavior of Stationary Measures for Stochastic Evolution Systems with Small Noise Intensity
Lifeng Chen, Zhao Dong, Jifa Jiang +1
The limiting behavior of stochastic evolution processes with small noise intensity is investigated in distribution-based approach. Let be stationary measure for stochasti…
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…