4.6 Article

Stationary distribution and density function analysis of a stochastic epidemic HBV model

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。
Article Mathematics, Applied

Stationary distribution and probability density function analysis of a stochastic HIV model with cell-to-cell infection

Minmin Lu et al.

Summary: This paper presents a stochastic HIV model with CD4(+) T-cell proliferation, cell-free infection, and cell-to-cell transmission. The existence of unique and ergodic stationary distribution of the model is established by constructing suitable Lyapunov function. Additionally, the probability density function around the quasi-steady state of the system is derived through asymptotic analysis and employing the Fokker-Planck equation. The effects of stochastic perturbation and cell-to-cell infection on model dynamic behavior are investigated through numerical simulations, providing the probability density function of the system under realistic parameter values.

APPLIED MATHEMATICS AND COMPUTATION (2021)

Article Engineering, Multidisciplinary

Viral dynamics and control of hepatitis B virus (HBV) using an epidemic model

Anwarud Din et al.

ALEXANDRIA ENGINEERING JOURNAL (2020)

Article Automation & Control Systems

Stationary distribution and ergodicity of a stochastic cholera model with multiple pathways of transmission

Mingyu Song et al.

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS (2020)

Article Mathematical & Computational Biology

Mathematical analysis and simulation of a Hepatitis B model with time delay: A case study for Xinjiang, China

Tailei Zhang et al.

MATHEMATICAL BIOSCIENCES AND ENGINEERING (2020)

Review Biochemical Research Methods

The review of differential equation models of HBV infection dynamics

Miaolei Li et al.

JOURNAL OF VIROLOGICAL METHODS (2019)

Article Automation & Control Systems

Dynamics of a stochastic SIR epidemic model with distributed delay and degenerate diffusion

Qun Liu et al.

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS (2019)

Article Gastroenterology & Hepatology

Viral hepatitis in children and adolescents 1 Hepatitis B virus infection in children and adolescents

Giuseppe Indolfi et al.

LANCET GASTROENTEROLOGY & HEPATOLOGY (2019)

Article Biology

Modelling hepatotoxicity and antiretroviral therapeutic effect in HIV/HBV coinfection

Hasifa Nampala et al.

MATHEMATICAL BIOSCIENCES (2018)

Article Mathematical & Computational Biology

Classification and sensitivity analysis of the transmission dynamic of hepatitis B

Tahir Khan et al.

THEORETICAL BIOLOGY AND MEDICAL MODELLING (2017)

Article Mathematics, Applied

Stationary distribution and periodic solution for stochastic predator-prey systems with nonlinear predator harvesting

Wenjie Zuo et al.

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION (2016)

Review Biology

Mathematical models to characterize early epidemic growth: A review

Gerardo Chowell et al.

PHYSICS OF LIFE REVIEWS (2016)

Article Engineering, Multidisciplinary

The analysis and application of an HBV model

Suxia Zhang et al.

APPLIED MATHEMATICAL MODELLING (2012)

Article Mathematics, Applied

The ergodicity and extinction of stochastically perturbed SIR and SEIR epidemic models with saturated incidence

Qingshan Yang et al.

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS (2012)

Review Biochemistry & Molecular Biology

Chronic HBV-related liver disease

Mario Rizzetto et al.

MOLECULAR ASPECTS OF MEDICINE (2008)

Article Biology

A mathematical model of cell-to-cell spread of HIV-1 that includes a time delay

RV Culshaw et al.

JOURNAL OF MATHEMATICAL BIOLOGY (2003)