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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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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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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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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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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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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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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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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... -
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... -
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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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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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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PDE Models of Virus Replication Coupling 2D Manifold and 3D Volume Effects Evaluated at Realistic Reconstructed Cell Geometries
Virus pandemics and endemics cause enormous pain and costs. Major processes of the intracellular Hepatitis C virus (HCV) viral RNA (vRNA) replication... -
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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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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Complex Dynamics for an Immunosuppressive Infection Model with Virus Stimulation Delay and Nonlinear Immune Expansion
This work brings nonlinear Beddington–DeAngelis immune expansion and virus stimulation delay into a classical immunosuppressive infection model...
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Evolutionary Invasion Analysis of Modern Epidemics Highlights the Context-Dependence of Virulence Evolution
Models are often employed to integrate knowledge about epidemics across scales and simulate disease dynamics. While these approaches have played a...
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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...