Most probable dynamics of a genetic regulatory network under stable Lévy noise
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Publication:2008839
DOI10.1016/J.AMC.2018.12.005zbMath1428.92036arXiv1812.03353OpenAlexW2904607341MaRDI QIDQ2008839
Xiaofan Li, Xiaoli Chen, Fengyan Wu, Juergen Kurths, Jin-qiao Duan
Publication date: 26 November 2019
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1812.03353
most probable trajectoriesLévy noisenonlocal Fokker-Planck equationgene regulationnon-Gaussian stochastic dynamics
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Cites Work
- Unnamed Item
- Unnamed Item
- Fokker-Planck equations for stochastic dynamical systems with symmetric Lévy motions
- Stochastic methods. A handbook for the natural and social sciences
- Efficient implementation of essentially nonoscillatory shock-capturing schemes
- Linearized compact ADI schemes for nonlinear time-fractional Schrödinger equations
- Unconditionally optimal error estimates of a linearized Galerkin method for nonlinear time fractional reaction-subdiffusion equations
- Unconditionally optimal error analysis of Crank-Nicolson Galerkin FEMs for a strongly nonlinear parabolic system
- Efficient implementation of weighted ENO schemes
- Flights towards defection in economic transactions
- A two-level linearized compact ADI scheme for two-dimensional nonlinear reaction-diffusion equations
- Frequency domain chemical Langevin analysis of stochasticity in gene transcriptional regulation
- Most probable dynamics of some nonlinear systems under noisy fluctuations
- Stochastic processes in cell biology
- Mean Exit Time and Escape Probability for Dynamical Systems Driven by Lévy Noises
- Lévy noise-induced escape in an excitable system
- Lévy Processes and Stochastic Calculus
- Likelihood for transcriptions in a genetic regulatory system under asymmetric stable Lévy noise
- Stochastic basins of attraction for metastable states
- A Stochastic Pitchfork Bifurcation in Most Probable Phase Portraits
- A Newton linearized compact finite difference scheme for one class of Sobolev equations
- Lévy noise induced transition and enhanced stability in a gene regulatory network
- Accurate noise projection for reduced stochastic epidemic models
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