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Optimal Control of Hepatitis B in a sub-Saharan African rural area
In this paper, we ameliorate the model proposed in [13], by incorporating the influence of hepatitis B e antigen (HBeAg) status of mothers on...
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Mathematical Models of Early Hepatitis B Virus Dynamics in Humanized Mice
Analyzing the impact of the adaptive immune response during acute hepatitis B virus (HBV) infection is essential for understanding disease...
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Dynamical behavior of a hepatitis B epidemic model and its NSFD scheme
Hepatitis is inflammation of the liver, and one of its types, hepatitis B, is a contagious infection. Using mathematical models, the nature of the...
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Existence, stability, and numerical simulations of a fractal-fractional hepatitis B virus model
This paper uses a new fractal-fractional operator with a power law-type kernel in the Riemann-Liouville sense to formulate the new fractal-fractional...
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A novel stochastic Hepatitis B virus epidemic model with second-order multiplicative α-stable noise and real data
This work presents an advanced and detailed analysis of the mechanisms of hepatitis B virus (HBV) propagation in an environment characterized by...
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Mathematical analysis of hepatitis B epidemic model with optimal control
Infection of hepatitis B virus (HBV) is a global health problem. We provide the study about hepatitis B virus dynamics that can be controlled by...
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Mathematical Analysis of Hepatitis B Virus Combination Treatment
In the current paper, we research the influence of IL-2 therapy and we introduce the regulation by distributed feedback control. The results of the... -
A minimum principle for stochastic control of hepatitis C epidemic model
In this paper, we discussed a stochastic optimal control of hepatitis C that minimizes the side effect and reduces the viral load. The control...
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The Complex Dynamics of Hepatitis B Infected Individuals with Optimal Control
This paper proposes various stages of the hepatitis B virus (HBV) besides its transmissibility and nonlinear incidence rate to develop an epidemic...
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Phenomenology of an In-host Model of Hepatitis C
This paper carries out an analysis of the global properties of solutions of an in-host model of hepatitis C for general values of its parameters. A...
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Probing a Stochastic Epidemic Hepatitis C Virus Model with a Chronically Infected Treated Population
The hepatitis C virus is hitherto a tremendous threat to human beings, but many researchers have analyzed mathematical models for hepatitis C virus...
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Spatiotemporal Dynamics of Fractional Hepatitis B Virus Infection Model with Humoral and Cellular Immunity
In this chapter, we propose a mathematical model governed by fractional partial differential equations (FPDEs) that describes the dynamics of... -
Mathematical modeling of hepatitis B virus infection for antiviral therapy using LHAM
Anti-viral therapy is comparatively very effective for patients who get affected by the hepatitis B virus. It is of prime importance to understand...
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Global dynamics of an age-dependent multiscale hepatitis C virus model
In this paper, we focus on the global dynamics of a multiscale hepatitis C virus model. The model takes into account the evolution of the virus in...
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Solutions of Viral Dynamics in Hepatitis B Virus Infection Using HPM
In this work, we discussed the solutions of viral dynamics in hepatitis B virus infection. Antiviral treatment for patients infected with hepatitis B... -
On an Age-Structured Hepatitis B Virus Infection Model with HBV DNA-Containing Capsids
In this paper, we study an age-structured hepatitis B virus model with DNA-containing capsids. We obtain the well-posedness of the model by...
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Game-Theoretical Model of Retroactive Hepatitis B Vaccination in China
Hepatitis B (HepB) is one of the most common infectious diseases affecting over two billion people worldwide. About one third of all HepB cases are...
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Global Stability and Numerical Analysis of a Compartmental Model of the Transmission of the Hepatitis A Virus (HAV): A Case Study in Tunisia
This paper deals with the transmission and spread of the hepatitis A virus in central west Tunisia (the city of Thala). The target of this framework...
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A hepatitis stochastic epidemic model with acute and chronic stages
The article is based on the study of hepatitis transmission dynamics using a stochastic epidemic model. We discuss the stochastic perturbations of...
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Fractional-Order Delay Differential Equations of Hepatitis C Virus
In this chapter, we investigate a fractional-order delay differential model reflecting the dynamics of Hepatitis C virus (HCV) replication in the...