Dynamical analysis of a generalized hepatitis B epidemic model and its dynamically consistent discrete model
From MaRDI portal
Publication:2104345
DOI10.1016/j.matcom.2022.10.006OpenAlexW4306169221MaRDI QIDQ2104345
Publication date: 7 December 2022
Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2112.06284
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Cites Work
- Unnamed Item
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- Non standard finite difference scheme preserving dynamical properties
- Switching from exact scheme to nonstandard finite difference scheme for linear delay differential equation
- Global stability of one and two discrete delay models for chronic hepatitis B infection with HBV DNA-containing capsids
- Stability by Liapunov's direct method. With applications
- A class of nonstandard numerical methods for autonomous dynamical systems
- Global stability of a diffusive virus dynamics model with general incidence function and time delay
- Comparison theorems for differential equations
- A generalization of the Kermack-McKendrick deterministic epidemic model
- Positivity of Runge-Kutta and diagonally split Runge-Kutta methods
- An introduction to mathematical modeling of infectious diseases
- The extinction and persistence of the stochastic hepatitis B epidemic model
- Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
- Dynamics of a fractional-order hepatitis B epidemic model and its solutions by nonstandard numerical schemes
- Analysis of fractional-order models for hepatitis B
- Analysis of a fractional SIR model with general incidence function
- Approximate rational solutions to the Thomas-Fermi equation based on dynamic consistency
- Reliable approximations for a hepatitis B virus model by nonstandard numerical schemes
- Mathematical analysis of a fractional differential model of HBV infection with antibody immune response
- Stability analysis of a fractional-order novel hepatitis B virus model with immune delay based on Caputo-Fabrizio derivative
- On the nonstandard numerical discretization of SIR epidemic model with a saturated incidence rate and vaccination
- Delayed hepatitis B epidemic model with stochastic analysis
- A fractional order model for hepatitis B virus with treatment via Atangana-Baleanu derivative
- On the global asymptotic stability of a hepatitis B epidemic model and its solutions by nonstandard numerical schemes
- Modeling and control of the hepatitis B virus spreading using an epidemic model
- Uniform asymptotic stability of a logistic model with feedback control of fractional order and nonstandard finite difference schemes
- A second-order modified nonstandard theta method for one-dimensional autonomous differential equations
- Construction of nonstandard finite difference schemes for the SI and SIR epidemic models of fractional order
- Universal approaches to approximate biological systems with nonstandard finite difference methods
- Complete global stability of a metapopulation model and its dynamically consistent discrete models
- Positivity and global stability preserving NSFD schemes for a mixing propagation model of computer viruses
- Nonstandard finite difference scheme for a Tacoma Narrows Bridge model
- The Kermack--McKendrick epidemic model revisited
- Global dynamics of a virus dynamical model with general incidence rate and cure rate
- The Mathematics of Infectious Diseases
- Nonstandard finite difference methods: recent trends and further developments
- Dynamically consistent discrete metapopulation model
- The basic reproduction number in some discrete-time epidemic models
- A boundedness and monotonicity preserving method for a generalized population model
- An improvement of two nonstandard finite difference schemes for two population mathematical models
- Positive and elementary stable explicit nonstandard Runge-Kutta methods for a class of autonomous dynamical systems
- Existence, uniqueness, and stability of fractional hepatitis B epidemic model
- An Introduction to Mathematical Epidemiology
- Lyapunov direct method for investigating stability of nonstandard finite difference schemes for metapopulation models
- On the use of nonstandard finite difference methods†
- Advances in the Applications of Nonstandard Finite Difference Schemes
- Mathematical modelling of hepatitis C treatment for injecting drug users
