5 citations · 5 across the 5 of their papers we have counts for
5 papers
Convergence and stability of the semi-tamed Milstein method for commutative stochastic differential equations with non-globally Lipschitz continuous coefficients
Yulong Liu, Yuanling Niu, Xiujun Cheng
A new explicit stochastic scheme of order 1 is proposed for solving commutative stochastic differential equations (SDEs) with non-globally Lipschitz continuous coefficients. The pr…
Most Probable Evolution Trajectories in a Genetic Regulatory System Excited by Stable Lévy Noise
Xiujun Cheng, Hui Wang, Xiao Wang +2
We study the most probable trajectories of the concentration evolution for the transcription factor activator in a genetic regulation system, with non-Gaussian stable Lévy noise in…
Target Search of a Protein on DNA in the Presence of Position-dependent Bias
Xi Chen, Xiujun Cheng, Yanmei Kang +1
We study the target searching on the DNA for proteins in the presence of non-constant drift and non-Gaussian -stable Lévy fluctuations. The target searching is realized by the f…
A parameter estimator based on Smoluchowski-Kramers approximation
Ziying He, Jinqiao Duan, Xiujun Cheng
We devise a simplified parameter estimator for a second order stochastic differential equation by a first order system based on the Smoluchowski-Kramers approximation. We establish…
Likelihood for transcriptions in a genetic regulatory system under asymmetric stable Lévy noise
Hui Wang, Xiujun Cheng, Jinqiao Duan +2
This work is devoted to investigating the evolution of concentration in a genetic regulation system, when the synthesis reaction rate is under additive and multiplicative asymmetri…