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This paper presents a scenario-based model predictive control (MPC) scheme designed to control an evolving pandemic via non-pharmaceutical intervention (NPIs). The proposed approach combines predictions of possible pandemic evolution to…

Systems and Control · Electrical Eng. & Systems 2025-06-24 Domagoj Herceg , Marco DellOro , Riccardo Bertollo , Fuminari Miura , Paul de Klaver , Valentina Breschi , Dinesh Krishnamoorthy , Mauro Salazar

A model based on a thermodynamic approach is proposed for predicting the dynamics of communicable epidemics in a city, when the epidemic is governed by controlling efforts of multiple scales so that an entropy is associated with the system.…

Medical Physics · Physics 2013-10-01 W. B. Wang , Z. N. Wu , Z. M. Cao , R. F. Hu

Control-based continuation (CBC) is a general and systematic method to explore the dynamic response of a physical system and perform bifurcation analysis directly during experimental tests. Although CBC has been successfully demonstrated on…

Dynamical Systems · Mathematics 2024-11-05 Hamed Rezaee , Ludovic Renson

In this paper, we explore the solvability and the optimal control problem for a compartmental model based on reaction-diffusion partial differential equations describing a transmissible disease. The nonlinear model takes into account the…

Optimization and Control · Mathematics 2023-08-25 Pierluigi Colli , Gianni Gilardi , Gabriela Marinoschi

Background: Liver diseases present a significant global health challenge and often require costly, invasive diagnostics. Electrocardiography (ECG), a widely available and non-invasive tool, can enable the detection of liver disease by…

Machine Learning · Computer Science 2025-05-21 Juan Miguel Lopez Alcaraz , Wilhelm Haverkamp , Nils Strodthoff

Medication adherence is essential to ensure treatment effectiveness, but too often in routine care non-adherence compromises the desired outcome. We explore longitudinal causal modelling using observational data to estimate the time-varying…

Methodology · Statistics 2026-03-10 Xiaoran Liang , Deniz Türkmen , Jane A H Masoli , Luke C Pilling , Jack Bowden

This paper proposes an approach to mitigate epidemic spread in a population of strategic agents by encouraging safer behaviors through carefully designed rewards. These rewards, which adapt to the evolving state of the epidemic, are…

Systems and Control · Electrical Eng. & Systems 2024-12-31 Shinkyu Park , Jair Certorio , Nuno C. Martins , Richard J. La

Hepatitis C virus helicase is a molecular motor that splits nucleic acid duplex structures during viral replication, therefore representing a promising target for antiviral treatment. Hence, a detailed understanding of the mechanism by…

Biomolecules · Quantitative Biology 2013-11-27 Holger Flechsig

In this paper, a mathematical analysis of the global dynamics of a viral infection model in vivo is carried out. We study the dynamics of a hepatitis C virus (HCV) model, under therapy, that considers both extracellular and intracellular…

Populations and Evolution · Quantitative Biology 2020-11-13 Alexis Nangue , Alan D. Rendall , Brice Kammegne Tcheugam , Patrick Steve Kamdem Simo

We define and examine a model of epidemic propagation for a virus such as Hepatitis C (with HIV co-infection) on a network of networks, namely the network of French urban areas. One network level is that of the individual interactions…

Physics and Society · Physics 2017-05-24 Arnaud Nucit , Julien Randon-Furling

In this paper, we consider an adaptive optimal control problem for an SIR/V epidemic model with human behavioral effects.We develop a model where effective management of infectious diseases are monitored by the means of non pharmaceutical…

Physics and Society · Physics 2025-12-09 Nuruzzaman Rahat , Abid Hossain , Muntasir Alam

A central challenge in Human Immunodeficiency Virus (HIV) public health policy lies in determining whether to universally expand treatment access, despite the risk of sub-optimal adherence and consequent drug resistance, or to adopt a more…

Quantitative Methods · Quantitative Biology 2025-07-16 Ashish Poonia , Siddhartha P. Chakrabarty

The rates of escape and reversion in response to selection pressure arising from the host immune system, notably the cytotoxic T-lymphocyte (CTL) response, are key factors determining the evolution of HIV. Existing methods for estimating…

Populations and Evolution · Quantitative Biology 2013-02-12 Duncan Palmer , John Frater , Rodney Philips , Angela McLean , Gil McVean

We propose and study a compartmental model for epidemiology with human behavioral effects. Specifically, our model incorporates governmental prevention measures aimed at lowering the disease infection rate, but we split the population into…

Systems and Control · Electrical Eng. & Systems 2026-02-16 Chloe Ngo , Christian Parkinson , Weinan Wang

Optimal control theory in epidemiology has been used to establish the most effective intervention strategies for managing and mitigating the spread of infectious diseases while considering constraints and costs. Using Pontryagin's Maximum…

Physics and Society · Physics 2025-08-08 Sandra Montes-Olivas , Adam J. Kucharski , Michael B. Gravenor , Simon D. W. Frost

Hepatitis B virus is a global health threat, and its elimination by 2030 has been prioritised by the World Health Organisation. Here we present an age-structured model for the immune response to an HBV infection, which takes into account…

Quantitative Methods · Quantitative Biology 2021-08-05 Farzad Fatehi , Richard J. Bingham , Eric C. Dykeman , Peter G. Stockley , Reidun Twarock

Infectious zoonotic disease emergence, through spillover events, is of global concern and has the potential to cause significant harm to society, as recently demonstrated by COVID-19. More than 70% of the 400 infectious diseases that…

Populations and Evolution · Quantitative Biology 2024-09-26 Maryam Golchin , Moreno Di Marco , Paul Horwood , Dean Paini , Andrew Hoskins , R. I. Hickson

The host immune response can often efficiently suppress a virus infection, which may lead to selection for immune-resistant viral variants within the host. For example, during HIV infection, an array of CTL immune response populations…

Populations and Evolution · Quantitative Biology 2018-02-23 Cameron J. Browne , Hal L. Smith

In this paper we present a delay induced model for hepatitis C virus incorporating the healthy and infected hepatocytes as well as infectious and noninfectious virions. The model is mathematically analyzed and characterized, both for the…

Dynamical Systems · Mathematics 2014-03-11 Sandip Banerjee , Ram Keval , Sunita Gakkhar

The control of opportunistic infections among HIV infected individuals should be one of the major public health concerns in reducing mortality rate of individuals living with HIV/AIDS. In this study a deterministic co-infection mathematical…

Dynamical Systems · Mathematics 2024-08-02 Michael Byamukama , Damian Kajunguri , Martin Karuhanga