Modeling the transmission dynamics and control of hepatitis B virus in China
From MaRDI portal
Publication:1629027
DOI10.1016/j.jtbi.2009.09.035zbMath1403.92316OpenAlexW2010541536WikidataQ51785710 ScholiaQ51785710MaRDI QIDQ1629027
Shigui Ruan, Lan Zou, Wei Nian Zhang
Publication date: 11 December 2018
Published in: Journal of Theoretical Biology (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jtbi.2009.09.035
mathematical modelingbasic reproduction numbertransmission dynamicshepatitis B virusdisease endemic equilibrium
Related Items (69)
Mathematical modeling of hepatitis B virus infection for antiviral therapy using LHAM ⋮ Stochastic permanence of an epidemic model with a saturated incidence rate ⋮ Dynamical behavior of SEIR-SVS epidemic models with nonlinear incidence and vaccination ⋮ Stochastic mathematical model for the spread and control of corona virus ⋮ Numerical investigation for the nonlinear model of hepatitis-B virus with the existence of optimal solution ⋮ False mathematical reasoning in biology ⋮ Optimal control for an age-structured model for the transmission of hepatitis B ⋮ Analysis of an SVIC model with age-dependent infection and asymptomatic carriers ⋮ An application of a novel geometric criterion to global-stability problems of a nonlinear SEIVS epidemic model ⋮ A mathematical model for hepatitis B with infection-age structure ⋮ Global dynamics of a vaccination model for infectious diseases with asymptomatic carriers ⋮ Development of Optimal Strategy for Controlling Transmission Dynamics of HBV Epidemic Model ⋮ A fractional order model for hepatitis B virus with treatment via Atangana-Baleanu derivative ⋮ A hepatitis stochastic epidemic model with acute and chronic stages ⋮ Fractional optimal control of COVID-19 pandemic model with generalized Mittag-Leffler function ⋮ Mathematical analysis of hepatitis B epidemic model with optimal control ⋮ Roadmap to control HBV and HDV epidemics in China ⋮ A mathematical model of Hepatitis B transmission in Turkey ⋮ A fractional order HBV model with hospitalization ⋮ Optimal voluntary vaccination of adults and adolescents can help eradicate hepatitis B in China ⋮ Dynamical analysis for the impact of asymptomatic infective and infection delay on disease transmission ⋮ The impact of nonlinear stochastic perturbation on dynamical behavior of an HIV infection system ⋮ Assessing the effect of migration and immigration rates on the transmission dynamics of infectious diseases ⋮ Analysis of fractional COVID‐19 epidemic model under Caputo operator ⋮ Unnamed Item ⋮ Global Hopf bifurcation of a two-delay epidemic model with media coverage and asymptomatic infection ⋮ SIMULATIONS AND ANALYSIS OF COVID-19 AS A FRACTIONAL MODEL WITH DIFFERENT KERNELS ⋮ MATHEMATICAL ANALYSIS OF HEPATITIS B TRANSMISSION MODEL ⋮ A stochastic hepatitis B model with infinite Lévy jumps ⋮ A delayed diffusive HBV model with nonlinear incidence and CTL immune response ⋮ Optimal control of hepatitis B in a sub-Saharan African rural area ⋮ The analysis and application of an HBV model ⋮ TRANSMISSION DYNAMICS AND THE CONTROL OF HEPATITIS B IN CHINA: A POPULATION DYNAMICS VIEW ⋮ Game-theoretical model of retroactive hepatitis B vaccination in China ⋮ Analysis of SIR epidemic models with nonlinear incidence rate and treatment ⋮ Asymptotic properties of a hepatitis B virus infection model with time delay ⋮ On the sexual transmission dynamics of hepatitis B virus in China ⋮ OPTIMAL CONTROL ANALYSIS OF THE EFFECT OF TREATMENT, ISOLATION AND VACCINATION ON HEPATITIS B VIRUS ⋮ Assessing the spread of foot and mouth disease in mainland China by dynamical switching model ⋮ Stability analysis of hepatitis B virus model with incomplete immunization of HepB vaccine ⋮ Application and optimal control for an HBV model with vaccination and treatment ⋮ CONTROL STRATEGIES of HEPATITIS B WITH THREE CONTROL VARIABLES ⋮ Existence, uniqueness, and stability of fractional hepatitis B epidemic model ⋮ An age-structured model for the transmission dynamics of hepatitis B: asymptotic analysis ⋮ The transmission dynamic of different hepatitis B-infected individuals with the effect of hospitalization ⋮ A stochastic model for the transmission dynamics of hepatitis B virus ⋮ The complex dynamics of hepatitis B infected individuals with optimal control ⋮ Global stability analysis for a SEI model with nonlinear incidence rate and asymptomatic infectious state ⋮ The extinction and persistence of the stochastic hepatitis B epidemic model ⋮ Global stability of a diffusive and delayed HBV infection model with HBV DNA-containing capsids and general incidence rate ⋮ Modelling the epidemiology of hepatitis B in New Zealand ⋮ Recognizing the impact of endemic hepatitis D virus on hepatitis B virus eradication ⋮ Unnamed Item ⋮ Modeling the Control of COVID-19: Impact of Policy Interventions and Meteorological Factors ⋮ Modeling and analysis of the transmission of echinococcosis with application to Xinjiang Uygur autonomous region of China ⋮ The independent impact of newborn hepatitis B vaccination on reducing HBV prevalence in China, 1992--2006: A mathematical model analysis ⋮ Mathematical analysis and simulation of a hepatitis B model with time delay: a case study for Xinjiang, China ⋮ Dynamic analysis of a hepatitis B model with three-age-classes ⋮ Ergodic stationary distribution of a stochastic hepatitis B epidemic model with interval-valued parameters and compensated Poisson process ⋮ Modeling and qualitative analysis of a hepatitis B epidemic model ⋮ A non-absorbing SIR stochastic lattice gas model on hybrid lattices ⋮ Global dynamics of a model of hepatitis B virus infection in a sub-Saharan African rural area ⋮ Stochastic epidemic dynamics based on the association between susceptible and recovered individuals ⋮ Dynamical behavior of stochastic Markov switching hepatitis B epidemic model with saturated incidence rate ⋮ A model of HBV infection with intervention strategies: dynamics analysis and numerical simulations ⋮ The stationary distribution of hepatitis B virus with stochastic perturbation ⋮ Modelling homosexual and heterosexual transmissions of hepatitis B virus in China ⋮ The global stability investigation of the mathematical design of a fractional-order HBV infection ⋮ Ergodic stationary distribution of stochastic epidemic model for HBV with double saturated incidence rates and vaccination
Cites Work
- On the definition and the computation of the basic reproduction ratio \(R_ 0\) in models for infectious diseases in heterogeneous populations
- Hepatitis B in a high prevalence New Zealand population: a mathematical model applied to infection control policy
- Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
This page was built for publication: Modeling the transmission dynamics and control of hepatitis B virus in China