Mathematical modeling of hepatitis B virus infection incorporating immune responses

Khatun, Zahura; Islam, Md. Shahidul; Ghosh, Uttam

doi:10.1016/j.sintl.2020.100017

Cited by 13 publications

(8 citation statements)

References 14 publications

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“…Analyzing the impact of K in the model we realize that, in both endemic and disease free state a significant increase in the value of K does not change the state of stability for instance, keeping all parameters constant in the case of endemic with µ 1 = 0.01, when K = 10, R 0 = 6 > 1,and when K = 1000, R 0 = 600 > 1. we also analyzed β which affect the rate at which Healthy hepatocytes becomes infected, thus an increase in β always causes the infected hepatocytes to increase indicating a positive relationship between β and I. An increase in β in an endemic condition indicates that the virus will eventually affect all the healthy hepatocytes, and once there are no healthy hepatocytes left to rely on, the virus will eventually go extinct see (10). Taking α = 1, when µ 1 = 0.01 and…”

Section: Numerical Results and Simulationmentioning

confidence: 99%

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Stability Analysis of Caputo Fractional Order Viral Dynamics of Hepatitis B Cellular Infection

Opoku

Wiah

Sackitey

et al. 2022

Preprint

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Section: Numerical Results and Simulationmentioning

confidence: 99%

“…Studying the Mathematical biology of hepatitis B virus the authors in [10] incorporated the immune response . In their paper, the authors extended their research beyond the Hepatitis B virus by looking at the dynamics of other viruses.…”

Section: Introductionmentioning

confidence: 99%

Stability Analysis of Caputo Fractional Order Viral Dynamics of Hepatitis B Cellular Infection

Opoku

Wiah

Sackitey

et al. 2022

Preprint

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show abstract

“…In the following theorem, we frst discuss the local stability of DFE point by using Routh− Hurwitz criterion [24,25]:…”

Section: Local and Global Stability Of Dfe Pointmentioning

confidence: 99%

The Continuous and Discrete Stability Characterization of Hepatitis B Deterministic Model

Hussain

Khan

et al. 2022

Mathematical Problems in Engineering

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The hepatitis B infection is a global epidemic disease which is a huge risk to the public health. In this paper, the transmission dynamics of hepatitis B deterministic model are presented and studied. The basic reproduction number is attained and by applying it, the local as well as global stability of disease-free and endemic equilibria of continuous hepatitis B deterministic model are discussed. To better understand the dynamics of the disease, the discrete nonstandard finite difference (NSFD) scheme is produced for the continuous model. Different criteria are employed to check the local and global stability of disease-free and endemic equilibria for the NSFD scheme. Our findings demonstrate that the NSFD scheme is convergent for all step sizes and consequently reasonable in all respect for the continuous deterministic epidemic model. All the aforementioned properties and their effects are also proved numerically at each stage to show their mathematical as well as biological feasibility. The theoretical and numerical findings used in this paper can be employed as a helpful tool for predicting the transmission of other infectious diseases.

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“…Literatures of some scholars mentioned in references [ 1 , 3 , 14 – 16 , 28 – 32 ] investigated that COVID-19 disease highly affected individuals already infected with either of HIV or TB or HBV or cholera. Literatures studied by some scholars mentioned in references [ 2 , 4 , 6 , 8 , 13 , 14 , 16 – 18 , 20 – 22 , 24 – 27 , 29 , 32 – 50 ] constructed and examined spreading and control of communicable disease ordinary differential method; similarly, scholars mentioned in [ 3 , 28 , 51 – 53 ] constructed and examined fractional derivative model of infectious diseases, and scholar mentioned in [ 1 ] constructed and examined a stochastic model of an infectious disease.…”

Section: Introductionmentioning

confidence: 99%

Analysis of HBV and COVID-19 Coinfection Model with Intervention Strategies

Teklu

2023

Computational and Mathematical Methods in Medicine

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Coinfection of hepatitis B virus (HBV) and COVID-19 is a common public health problem throughout some nations in the world. In this study, a mathematical model for hepatitis B virus (HBV) and COVID-19 coinfection is constructed to investigate the effect of protection and treatment mechanisms on its spread in the community. Necessary conditions of the proposed model nonnegativity and boundedness of solutions are analyzed. We calculated the model reproduction numbers and carried out the local stabilities of disease-free equilibrium points whenever the associated reproduction number is less than unity. Using the well-known Castillo-Chavez criteria, the disease-free equilibrium points are shown to be globally asymptotically stable whenever the associated reproduction number is less than unity. Sensitivity analysis proved that the most influential parameters are transmission rates. Moreover, we carried out numerical simulation and shown results: some parameters have high spreading effect on the disease transmission, single infections have great impact on the coinfection transmission, and using protections and treatments simultaneously is the most effective strategy to minimize and also to eradicate the HBV and COVID-19 coinfection spreading in the community. It is concluded that to control the transmission of both diseases in a population, efforts must be geared towards preventing incident infection with either or both diseases.

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Mathematical modeling of hepatitis B virus infection incorporating immune responses

Cited by 13 publications

References 14 publications

Stability Analysis of Caputo Fractional Order Viral Dynamics of Hepatitis B Cellular Infection

Stability Analysis of Caputo Fractional Order Viral Dynamics of Hepatitis B Cellular Infection

The Continuous and Discrete Stability Characterization of Hepatitis B Deterministic Model

Analysis of HBV and COVID-19 Coinfection Model with Intervention Strategies

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