相关参考文献
注意:仅列出部分参考文献,下载原文获取全部文献信息。Analysis of a Stochastic HBV Infection Model with DNA-Containing Capsids and Virions
Qun Liu et al.
JOURNAL OF NONLINEAR SCIENCE (2023)
Threshold Dynamics and Probability Density Function of a Stochastic Avian Influenza Epidemic Model with Nonlinear Incidence Rate and Psychological Effect
Baoquan Zhou et al.
JOURNAL OF NONLINEAR SCIENCE (2023)
STOCHASTIC PERSISTENCE IN DEGENERATE STOCHASTIC LOTKA-VOLTERRA FOOD CHAINS
Michel Benaim et al.
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B (2022)
Stationary distribution and density function analysis of a stochastic epidemic HBV model
Junyan Ge et al.
MATHEMATICS AND COMPUTERS IN SIMULATION (2022)
A CLASSIFICATION OF THE DYNAMICS OF THREE-DIMENSIONAL STOCHASTIC ECOLOGICAL SYSTEMS
Alexandru Hening et al.
ANNALS OF APPLIED PROBABILITY (2022)
Dynamical Behaviors of a Stochastic Food Chain System with Ornstein-Uhlenbeck Process
Qing Yang et al.
JOURNAL OF NONLINEAR SCIENCE (2022)
Analysis of a Stochastic Phytoplankton-Zooplankton Model under Non-degenerate and Degenerate Diffusions
Xiaojie Mu et al.
JOURNAL OF NONLINEAR SCIENCE (2022)
Stationary Distribution, Extinction and Probability Density Function of a Stochastic Vegetation-Water Model in Arid Ecosystems
Baoquan Zhou et al.
JOURNAL OF NONLINEAR SCIENCE (2022)
Threshold dynamics and density function of a stochastic epidemic model with media coverage and mean-reverting Ornstein-Uhlenbeck process
Baoquan Zhou et al.
MATHEMATICS AND COMPUTERS IN SIMULATION (2022)
Density function and stationary distribution of a stochastic SIR model with distributed delay
Wenjie Zuo et al.
APPLIED MATHEMATICS LETTERS (2022)
A Stochastic Non-autonomous Chemostat Model with Mean-reverting Ornstein-Uhlenbeck Process on the Washout Rate
Xiaofeng Zhang
JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS (2022)
A stochastic SICA model for HIV/AIDS transmission
Yiping Tan et al.
CHAOS SOLITONS & FRACTALS (2022)
Stationary distribution, extinction and density function for a stochastic HIV model with a Hill-type infection rate and distributed delay
Wenjie Zuo et al.
ELECTRONIC RESEARCH ARCHIVE (2022)
DYNAMICS OF A STOCHASTIC HIV/AIDS MODEL WITH TREATMENT UNDER REGIME SWITCHING
Miaomiao Gao et al.
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B (2022)
Permanence, Extinction and Periodicity to a Stochastic Competitive Model with Infinite Distributed Delays
Chunyan Ji et al.
JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS (2021)
Dynamical bifurcation and explicit stationary density of a stochastic population model with Allee effects
Weiming Ji et al.
APPLIED MATHEMATICS LETTERS (2021)
Threshold behavior of a stochastic predator-prey system with prey refuge and fear effect
Haokun Qi et al.
APPLIED MATHEMATICS LETTERS (2021)
Threshold dynamics and pulse control of a stochastic ecosystem with switching parameters
Hongxia Zhang et al.
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS (2021)
The impact of hospital resources and environmental perturbations to the dynamics of SIRS model
Guijie Lan et al.
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS (2021)
Dynamic analysis of a stochastic toxin-mediated predator-prey model in aquatic environments
Li Zu et al.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS (2021)
Wong-Zakai approximations and periodic solutions in distribution of dissipative stochastic differential equations
Xiaomeng Jiang et al.
JOURNAL OF DIFFERENTIAL EQUATIONS (2021)
Stochastic functional Kolmogorov equations II: Extinction
Dang H. Nguyen et al.
JOURNAL OF DIFFERENTIAL EQUATIONS (2021)
Dynamical systems under random perturbations with fast switching and slow diffusion: Hyperbolic equilibria and stable limit cycles
Nguyen H. Du et al.
JOURNAL OF DIFFERENTIAL EQUATIONS (2021)
Stochastic functional Kolmogorov equations, I: Persistence
Dang H. Nguyen et al.
STOCHASTIC PROCESSES AND THEIR APPLICATIONS (2021)
THRESHOLD OF A STOCHASTIC SIQS EPIDEMIC MODEL WITH ISOLATION
Nguyen Thanh Dieu et al.
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B (2021)
Survival and stationary distribution of a stochastic facultative mutualism model with distributed delays and strong kernels
Ke Qi et al.
MATHEMATICAL BIOSCIENCES AND ENGINEERING (2021)
Stationary Distribution and Extinction of a Stochastic HIV-1 Infection Model with Distributed Delay and Logistic Growth
Qun Liu et al.
JOURNAL OF NONLINEAR SCIENCE (2020)
General nonlinear stochastic systems motivated by chemostat models: Complete characterization of long-time behavior, optimal controls, and applications to wastewater treatment
Dang H. Nguyen et al.
STOCHASTIC PROCESSES AND THEIR APPLICATIONS (2020)
Dynamics and density function analysis of a stochastic SVI epidemic model with half saturated incidence rate
Baoquan Zhou et al.
CHAOS SOLITONS & FRACTALS (2020)
First escape probability and mean first exit time for a time-delayed ecosystem driven by non-Gaussian colored noise
Hongxia Zhang et al.
CHAOS SOLITONS & FRACTALS (2020)
The impact of virus carrier screening and actively seeking treatment on dynamical behavior of a stochastic HIV/AIDS infection model
Kai Qi et al.
APPLIED MATHEMATICAL MODELLING (2020)
Stochastic dynamic balance of a bi-stable vegetation model with pulse control
Hongxia Zhang et al.
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS (2020)
LONG-TERM ANALYSIS OF A STOCHASTIC SIRS MODEL WITH GENERAL INCIDENCE RATES
Dang Hai Nguyen et al.
SIAM JOURNAL ON APPLIED MATHEMATICS (2020)
Explicit numerical approximations for stochastic differential equations in finite and infinite horizons: truncation methods, convergence in pth moment and stability
Xiaoyue Li et al.
IMA JOURNAL OF NUMERICAL ANALYSIS (2019)
The threshold of a chemostat model with single-species growth on two nutrients under telegraph noise
Miaomiao Gao et al.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION (2019)
Long-time behaviour of a stochastic chemostat model with distributed delay
Qun Liu et al.
STOCHASTICS-AN INTERNATIONAL JOURNAL OF PROBABILITY AND STOCHASTIC PROCESSES (2019)
Quantitative concentration of stationary measures
Min Ji et al.
PHYSICA D-NONLINEAR PHENOMENA (2019)
Asymptotic properties of stochastic nutrient-plankton food chain models with nutrient recycling
Xingwang Yu et al.
NONLINEAR ANALYSIS-HYBRID SYSTEMS (2019)
Graph-Theoretical Method to the Existence of Stationary Distribution of Stochastic Coupled Systems
Yan Liu et al.
JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS (2018)
COEXISTENCE AND EXTINCTION FOR STOCHASTIC KOLMOGOROV SYSTEMS
Alexandru Hening et al.
ANNALS OF APPLIED PROBABILITY (2018)
Convergence rate and stability of the truncated Euler-Maruyama method for stochastic differential equations
Liangjian Hu et al.
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS (2018)
Efficient statistically accurate algorithms for the Fokker-Planck equation in large dimensions
Nan Chen et al.
JOURNAL OF COMPUTATIONAL PHYSICS (2018)
Explicit approximations for nonlinear switching diffusion systems in finite and infinite horizons
Hongfu Yang et al.
JOURNAL OF DIFFERENTIAL EQUATIONS (2018)
Dynamics of a Stochastic Predator-Prey Model with Stage Structure for Predator and Holling Type II Functional Response
Qun Liu et al.
JOURNAL OF NONLINEAR SCIENCE (2018)
Long-time behaviors of a stochastic cooperative Lotka-Volterra system with distributed delay
Wenjie Zuo et al.
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS (2018)
Nontrivial periodic solution for a stochastic brucellosis model with application to Xinjiang, China
Lei Wang et al.
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS (2018)
Concentration and limit behaviors of stationary measures
Wen Huang et al.
PHYSICA D-NONLINEAR PHENOMENA (2018)
THE NUMERICAL INVARIANT MEASURE OF STOCHASTIC DIFFERENTIAL EQUATIONS WITH MARKOVIAN SWITCHING
Xiaoyue Li et al.
SIAM JOURNAL ON NUMERICAL ANALYSIS (2018)
Ergodic property of the chemostat: A stochastic model under regime switching and with general response function
Liang Wang et al.
NONLINEAR ANALYSIS-HYBRID SYSTEMS (2018)
STOCHASTIC APPROXIMATION OF QUASI-STATIONARY DISTRIBUTIONS ON COMPACT SPACES AND APPLICATIONS
Michel Benaim et al.
ANNALS OF APPLIED PROBABILITY (2018)
Coexistence and exclusion of stochastic competitive Lotka-Volterra models
Dang H. Nguyen et al.
JOURNAL OF DIFFERENTIAL EQUATIONS (2017)
Global dynamics of a stochastic avian-human influenza epidemic model with logistic growth for avian population
Xinhong Zhang
NONLINEAR DYNAMICS (2017)
Beating the curse of dimension with accurate statistics for the Fokker-Planck equation in complex turbulent systems
Nan Chen et al.
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA (2017)
POPULATION DYNAMICAL BEHAVIOR OF A TWO-PREDATOR ONE-PREY STOCHASTIC MODEL WITH TIME DELAY
Meng Liu et al.
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS (2017)
Permanence and extinction of certain stochastic SIR models perturbed by a complex type of noises
Nguyen Huu Du et al.
APPLIED MATHEMATICS LETTERS (2017)
The periodic solutions of a stochastic chemostat model with periodic washout rate
Liang Wang et al.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION (2016)
Systematic Measures of Biological Networks I: Invariant Measures and Entropy
Yao Li et al.
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS (2016)
Systematic Measures of Biological Networks II: Degeneracy, Complexity, and Robustness
Yao Li et al.
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS (2016)
CONDITIONS FOR PERMANENCE AND ERGODICITY OF CERTAIN STOCHASTIC PREDATOR-PREY MODELS
Nguyen Huu Du et al.
JOURNAL OF APPLIED PROBABILITY (2016)
Stochastic stability of measures in gradient systems
Wen Huang et al.
PHYSICA D-NONLINEAR PHENOMENA (2016)
Classification of Asymptotic Behavior in a Stochastic SIR Model
N. T. Dieu et al.
SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS (2016)
INTEGRAL IDENTITY AND MEASURE ESTIMATES FOR STATIONARY FOKKER-PLANCK EQUATIONS
Wen Huang et al.
ANNALS OF PROBABILITY (2015)
Survival and Stationary Distribution Analysis of a Stochastic Competitive Model of Three Species in a Polluted Environment
Yu Zhao et al.
BULLETIN OF MATHEMATICAL BIOLOGY (2015)
A stochastic SIRS epidemic model with infectious force under intervention strategies
Yongli Cai et al.
JOURNAL OF DIFFERENTIAL EQUATIONS (2015)
Steady States of Fokker-Planck Equations: I. Existence
Wen Huang et al.
JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS (2015)
Quantification of degeneracy in biological systems for characterization of functional interactions between modules
Yao Li et al.
JOURNAL OF THEORETICAL BIOLOGY (2012)
Gibbs Measures Asymptotics
K. B. Athreya et al.
SANKHYA-SERIES A-MATHEMATICAL STATISTICS AND PROBABILITY (2010)
The Dynamics of an HIV/AIDS Model with Screened Disease Carriers
S. D. Hove-Musekwa et al.
Computational and Mathematical Methods in Medicine (2009)
Exclusion and persistence in deterministic and stochastic chemostat models
L Imhof et al.
JOURNAL OF DIFFERENTIAL EQUATIONS (2005)