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On the global asymptotic stability of a hepatitis B epidemic model and its solutions by nonstandard numerical schemes
Very recently, a hepatitis B epidemic model with saturated incidence rate has been proposed and analyzed in Khan et al. (Chaos Solitons Fractals...
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Numerical Analysis of Stationary Solutions of Systems with Delayed Argument in Mathematical Immunology
This work is devoted to the technology developed by the authors that allows one for fixed values of parameters and tracing by parameters to calculate...
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Hopf Bifurcation and Stability Switches Induced by Humoral Immune Delay in Hepatitis C
The role of humoral immune delay on the dynamics of HCV infection incorporating both the modes of infection transmission, namely, viral and cellular...
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The new treatment mode research of hepatitis B based on ant colony algorithm
Hepatitis B (HB) is a deadly disease that has a severe impact on infected individuals. In China, not only are the incidence and infection rates of HB...
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Juxtaposition on Classifiers in Modeling Hepatitis Diagnosis Data
Machine Learning and Data Mining have been used extensively in the field of medical science. Approximately 2% of the world population, i.e., 3.9...
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Data-Driven Multiscale Modeling of Self-Assembly and Hierarchical Structural Formation in Biological Macro-Molecular Systems: Pyruvate Dehydrogenase Complex
Macro-molecular self-assembly and hierarchical structural formation are crucial for a variety of systems in nature and technology. Especially...
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Data-driven multiscale modeling of self-assembly and hierarchical structural formation in biological macro-molecular systems
Self-assembly and hierarchical structural formation are essential in many systems of both nature and technology. Examples are the dynamic...
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Dynamical analysis of a general delayed HBV infection model with capsids and adaptive immune response in presence of exposed infected hepatocytes
The aim of this paper is to develop and investigate a novel mathematical model of the dynamical behaviors of chronic hepatitis B virus infection. The...
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A class of diffusive delayed viral infection models with general incidence function and cellular proliferation
We propose and analyze a new class of three dimensional space models that describes infectious diseases caused by viruses such as hepatitis B virus...
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An application of a novel geometric criterion to global-stability problems of a nonlinear SEIVS epidemic model
This work applies a novel geometric criterion for nonlinear autonomous differential equations developed by Lu and Lu (NARWA 36:20–43, 2017) to a...
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Global stability and optimal control for a hepatitis B virus infection model with immune response and drug therapy
In this paper, a nonlinear mathematical model describing the relationship between hepatitis B virus (HBV), the immune response and the drug therapy...
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Optimal Control of a Delayed Hepatitis B Viral Infection Model with DNA-Containing Capsids and Cure Rate
We present in this paper a delay-differential equation model that describes the interactions between hepatitis B virus (HBV) with DNA-containing...
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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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Analysis of a Stochastic HBV Infection Model with DNA-Containing Capsids and Virions
In this paper, we propose a stochastic differential equation model which is used to explore how the environmental noise affects the spread of...
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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...
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A Parameter Estimation Method for Multiscale Models of Hepatitis C Virus Dynamics
Mathematical models that are based on differential equations require detailed knowledge about the parameters that are included in the equations. Some...
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Analysis of fractional-order models for hepatitis B
This paper presents two models for hepatitis B, both given by fractional differential equations. The first model is formulated without parameters...
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The global stability investigation of the mathematical design of a fractional-order HBV infection
This work presents approximate solutions of a fractional-order design for hepatitis B virus infection. The numerical solution of the system is given...
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Classification of Pathologies on Medical Images Using the Algorithm of Random Forest of Optimal-Complexity Trees
The authors propose an approach to the construction of classifiers in the class of Random Forest algorithms. A genetic algorithm is used to determine...
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Approximate solutions for HBV infection with stability analysis using LHAM during antiviral therapy
Hepatitis B virus (HBV) is a life-threatening virus that causes very serious liver-related diseases from the family of Hepadnaviridae having very...
