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We study the impact of parameter estimation and state measurement errors on a control framework for optimally mitigating the spread of epidemics. We capture the epidemic spreading process using a susceptible-infected-removed (SIR) epidemic…

Systems and Control · Electrical Eng. & Systems 2024-08-08 Baike She , Lei Xin , Shreyas Sundaram , Philip E. Paré

We consider a predator-prey population model with prey gathering together for defense purposes. A transmissible unrecoverable disease affects the prey. We characterize the system behavior, establishing that ultimately either only the…

Dynamical Systems · Mathematics 2014-05-19 Elena Cagliero , Ezio Venturino

This paper analyzes a discretization of a stochastic parabolic optimal control problem, where the diffusion term contains the control variable. With rough data, the convergence of the discretization is derived. In addition, a Monte-Carlo…

Numerical Analysis · Mathematics 2022-08-31 Binjie Li , Qin Zhou , Xiaoping Xie

We consider recurrent contagious processes on a time-varying network. As a control procedure to mitigate the epidemic, we propose an adaptive rewiring mechanism for temporary isolation of infected nodes upon their detection. As a case…

Physics and Society · Physics 2016-03-08 Vitaly Belik , Alexander Fengler , Florian Fiebig , Hartmut H. K. Lentz , Philipp Hövel

Crohn's disease and intestinal tuberculosis share many overlapping features such as clinical, radiological, endoscopic, and histological features - particularly granulomas, making it challenging to clinically differentiate them. Our…

Image and Video Processing · Electrical Eng. & Systems 2025-03-04 Shashwat Gupta , Sarthak Gupta , Akshan Agrawal , Mahim Naaz , Rajanikanth Yadav , Priyanka Bagade

Self-stabilization is an versatile approach to fault-tolerance since it permits a distributed system to recover from any transient fault that arbitrarily corrupts the contents of all memories in the system. Byzantine tolerance is an…

Distributed, Parallel, and Cluster Computing · Computer Science 2010-05-20 Swan Dubois , Toshimitsu Masuzawa , Sébastien Tixeuil

We propose a novel framework to study viral spreading processes in metapopulation models. Large subpopulations (i.e., cities) are connected via metalinks (i.e., roads) according to a metagraph structure (i.e., the traffic infrastructure).…

Physics and Society · Physics 2013-08-20 Victor M. Preciado , Michael Zargham

Motivated by the swift global transmission of infectious diseases, we present a comprehensive framework for network-based epidemic control. Our aim is to curb epidemics using two different approaches. In the first approach, we introduce an…

Systems and Control · Electrical Eng. & Systems 2026-04-16 Mahtab Talaei , Apostolos I. Rikos , Alex Olshevsky , Laura F. White , Ioannis Ch. Paschalidis

Co-infecting parasites and pathogens remain a leading challenge for global public health due to their consequences for individual-level infection risk and disease progression. However, a clear understanding of the population-level…

Populations and Evolution · Quantitative Biology 2017-12-05 Erin E. Gorsich , Rampal S. Etienne , Jan Medlock , Brianna R. Beechler , Johannie M. Spaan , Robert S. Spaan , Vanessa O. Ezenwa , Anna E. Jolles

We propose a learning method well-suited to infer the presence of Tuberculosis (TB) manifestations on Computer Tomography (CT) scans mimicking the radiologist reports. Latent features are extracted from the CT volumes employing the V-Net…

Image and Video Processing · Electrical Eng. & Systems 2019-07-30 Pedro M. Gordaliza , Juan José Vaquero , Sally Sharpe , Fergus Gleeson , Arrate Muñoz-Barrutia

This paper presents a mathematical framework for optimizing drug delivery in cancer treatment using a nonlocal model of solid tumor growth. We present a coupled system of partial differential equations that incorporate long-range cellular…

Optimization and Control · Mathematics 2025-03-13 Bouhamidi Abderrahman , El Harraki Imad , Melouani Yassine

We propose a tractable epidemic model that includes containment measures. In the absence of containment measures, the epidemics spread exponentially fast whenever the infectivity rate is positive, $\lambda>0$. The containment measures are…

Populations and Evolution · Quantitative Biology 2020-10-29 Ginestra Bianconi , Pavel L. Krapivsky

In the absence of drugs and vaccines, policymakers use non-pharmaceutical interventions such as social distancing to decrease rates of disease-causing contact, with the aim of reducing or delaying the epidemic peak. These measures carry…

Populations and Evolution · Quantitative Biology 2021-04-22 Dylan H. Morris , Fernando W. Rossine , Joshua B. Plotkin , Simon A. Levin

The paper addresses an optimal control problem for a perturbed sweeping process of the rate-independent hysteresis type described by a controlled "play and stop" operator with separately controlled perturbations. This problem can be reduced…

Optimization and Control · Mathematics 2015-12-01 Tan H. Cao , Boris S. Mordukhovich

Contact inhibition refers to a reduction in the rate of cell migration and/or cell proliferation in regions of high cell density. Under normal conditions contact inhibition is associated with the proper functioning tissues, whereas abnormal…

Cell Behavior · Quantitative Biology 2018-03-01 David J. Warne , Ruth E. Baker , Matthew J. Simpson

Contamination of water resources with pathogenic microorganisms excreted in human feces is a worldwide public health concern. Surveillance of fecal contamination is commonly performed by routine monitoring for a single type or a few types…

Applications · Statistics 2021-10-13 HongYuan Cao , Tsuyoshi Kato

A distributed optimal control problem for a diffuse interface model, which physical context is that of tumour growth dynamics, is addressed. The system we deal with comprises a Cahn--Hilliard equation for the tumour fraction coupled with a…

Analysis of PDEs · Mathematics 2021-01-20 Andrea Signori

Recent outbreaks of Ebola, H1N1 and other infectious diseases have shown that the assumptions underlying the established theory of epidemics management are too idealistic. For an improvement of procedures and organizations involved in…

Physics and Society · Physics 2017-06-20 Joachim Draeger

Tuberculosis (TB) is caused by the bacterium Mycobacterium tuberculosis, primarily affecting the lungs. Early detection is crucial for improving treatment effectiveness and reducing transmission risk. Artificial intelligence (AI),…

Image and Video Processing · Electrical Eng. & Systems 2024-09-19 A. A. G. Yogi Pramana , Faiz Ihza Permana , Muhammad Fazil Maulana , Dzikri Rahadian Fudholi

Controlling an epidemiological model is often performed using optimal control theory techniques for which the solution depends on the equations of the control system, objective functional and possible state and/or control constraints. In…

Optimization and Control · Mathematics 2021-11-25 Loïc Michel , Cristiana J. Silva , Delfim F. M. Torres