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The aims of this work is to analyse of the global stability of the extended model of hepatitis C virus(HCV) infection with cellular proliferation, spontaneous cure and hepatocyte homeostasis. We first give general information about…

Dynamical Systems · Mathematics 2019-05-08 Alexis Nangue , Cyprien Fokoue , Raoue Poumeni

In this article, the feasibility of using optimal control theory will be studied to develop control theoretic methods for personalized treatment of HCV patients. The mathematical model for HCV progression includes compartments for healthy…

Optimization and Control · Mathematics 2023-09-07 Anh-Tuan Nguyen , Hien Tran

We propose a Markov model for the spread of Hepatitis C virus (HCV) among drug users who use injections. We then proceed to an asymptotic analysis (large initial population) and show that the Markov process is close to the solution of a non…

Probability · Mathematics 2010-02-19 Laure Coutin , Laurent Decreusefond , Jean-Stephane Dhersin

In this paper, a mathematical analysis of the global dynamics of a partial differential equation viral infection cellular model is carried out. We study the dynamics of a hepatitis C virus (HCV) model, under therapy, that considers both…

Analysis of PDEs · Mathematics 2021-11-08 Alexis Nangue , Bruno Nde Tchiffo

A mathematical modeling of Hepatitis C Virus (HCV) dynamics has been presented in this paper. The proposed model, which involves four coupled ordinary differential equations, describes the interaction of target cells (hepatocytes), infected…

Cell Behavior · Quantitative Biology 2011-05-19 Sandip Banerjee , Ram Keval , S. Gakkhar

Viral hepatitis is the regularly found health problem throughout the world among other easily transmitted diseases, such as tuberculosis, human immune virus, malaria and so on. Among all hepatitis viruses, the uppermost numbers of deaths…

Computers and Society · Computer Science 2019-11-12 Henok Yared Agizew

Hepatitis type B is one of the most common infectious disease worldwide that can pose severe threats to human health up to the point that may contribute to severe liver damage or cancer. Over the past two decades a large number of dynamic…

Quantitative Methods · Quantitative Biology 2020-04-22 SeyedMehdi Abtahi , Mojtaba Sharifi

Decision-makers frequently must choose a single action from a finite set of alternatives -- for example, physicians selecting a treatment, investors choosing a portfolio risk level, or judges determining sentences. To improve outcomes,…

Applications · Statistics 2026-05-19 Raphaël Langevin

We propose and study a new mathematical model of the human immunodeficiency virus (HIV). The main novelty is to consider that the antibody growth depends not only on the virus and on the antibodies concentration but also on the uninfected…

Optimization and Control · Mathematics 2022-01-26 Karam Allali , Sanaa Harroudi , Delfim F. M. Torres

Equipment sharing among people who inject drugs (PWID) is a key risk factor in infection by hepatitis C virus (HCV). Both the effectiveness and cost-effectiveness of interventions aimed at reducing HCV transmission in this population (such…

This study presents an improved mathematical model for Hepatitis B Virus (HBV) transmission dynamics by investigating autonomous and nonautonomous cases. The novel model incorporates the effects of medical treatment, allowing for a more…

Dynamical Systems · Mathematics 2025-05-15 Abdallah Alsammani

Hepatitis B is a potentially life-threatening liver infection caused by the hepatitis B virus (HBV). In this paper, the transmission dynamics of hepatitis B is formulated with a mathematical model with considerations of different classes of…

Populations and Evolution · Quantitative Biology 2023-06-01 Blessing O. Emerenini , Simeon C. Inyama

Viral sequence classification is an important task in pathogen detection, epidemiological surveys and evolutionary studies. Statistical learning methods are widely used to classify and identify viral sequences in samples from environments.…

Machine Learning · Computer Science 2024-05-30 Amine M. Remita , Abdoulaye Baniré Diallo

Hepatitis C virus (HCV) is a widely spread disease all over the world. HCV has very high mutation rate that makes it resistant to antibodies. Modeling HCV to identify the virus mutation process is essential to its detection and predicting…

Artificial Intelligence · Computer Science 2013-03-22 Nabila Shikoun , Mohamed El Nahas , Samar Kassim

Background: Highly effective direct-acting antiviral (DAA) regimens (90% efficacy) are becoming available for hepatitis C virus (HCV) treatment. This therapeutic revolution leads us to consider possibility of eradicating the virus. However,…

Populations and Evolution · Quantitative Biology 2015-06-10 Anthony Cousien , Viet Chi Tran , Sylvie Deuffic-Burban , Marie Jauffret-Roustide , Jean-Stéphane Dhersin , Yazdan Yazdanpanah

Hepatitis C virus (HCV) infection is endemic in people who inject drugs (PWID), with prevalence estimates above 60 percent for PWID in the United States. Previous modeling studies suggest that direct acting antiviral (DAA) treatment can…

Populations and Evolution · Quantitative Biology 2019-03-06 Bilal Khan , Ian Duncan , Mohamad Saad , Daniel Schaefer , Ashly Jordan , Daniel Smith , Alan Neaigus , Don Des Jarlais , Holly Hagan , Kirk Dombrowski

We consider a mathematical model comprising of four coupled ordinary differential equations (ODEs) for studying the hepatitis C (HCV) viral dynamics. The model embodies the efficacies of a combination therapy of interferon and ribavirin. A…

Quantitative Methods · Quantitative Biology 2015-05-28 Gaurav Pachpute , Siddhartha P. Chakrabarty

In this paper, we present the global analysis of a HCV model under therapy. We prove that the solutions with positive initial values are global, positive, bounded and not display periodic orbits. In addition, we show that the model is…

Populations and Evolution · Quantitative Biology 2019-05-09 Alexis Nangue

This study demonstrates the implementation of the stochastic ruler discrete simulation optimization method for calibrating an agent-based model (ABM) developed to simulate hepatitis C virus (HCV) transmission. The ABM simulates HCV…

Systems and Control · Electrical Eng. & Systems 2022-03-04 Soham Das , Navonil Mustafee , Varun Ramamohan

Hepatitis B virus (HBV) is considered as etiological agent of the lethal liver disease hepatitis B. Globally, hepatitis B is recognized as one of the prevailing infectious diseases with a significant impact on human health. In spite of…

Quantitative Methods · Quantitative Biology 2024-11-19 Rupchand Sutradhar , Gopinath Sadhu , D C Dalal
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