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Although modeling studies are focused on the control of SIR-based systems describing epidemic data sets (particularly the COVID-19), few of them present a formal dynamic characterization in terms of equilibrium sets and stability. Such…

最优化与控制 · 数学 2021-06-03 A. H. González , A. L. Anderson , A. Ferramosca , E. A. Hernandez-Vargas

Controlling the shape and position of moving and pinned droplets on a solid surface is an important feature often found in microfluidic applications. In this work, we consider a well investigated phase field model including contact line…

数值分析 · 数学 2020-02-10 Henning Bonart , Christian Kahle

This paper considers the classical Susceptible--Infected--Susceptible (SIS) network epidemic model, which describes a disease spreading through $n$ nodes, with the network links governing the possible transmission pathways of the disease…

系统与控制 · 电气工程与系统科学 2023-05-29 Liam Walsh , Mengbin Ye , Brian D. O. Anderson , Zhiyong Sun

We consider the spread of epidemics in technological and social networks. How do people react? Does awareness and cautious behavior help? We analyze these questions and present a dynamic model to describe the movement of individuals and/or…

社会与信息网络 · 计算机科学 2015-03-19 Robert Elsässer , Adrian Ogierman

A probabilistic approach to the epidemic evolution on realistic social-contact networks allows for characteristic differences among subjects, including the individual number and structure of social contacts, and the heterogeneity of the…

社会与信息网络 · 计算机科学 2022-02-11 Jan B. Broekaert , Davide La Torre , Faizal Hafiz

Estimating the influence that individual nodes have on one another in a Boolean network is essential to predict and control the system's dynamical behavior, for example, detecting key therapeutic targets to control pathways in models of…

物理与社会 · 物理学 2023-11-02 Thomas Parmer , Filippo Radicchi

We consider a dynamically decoupled network of agents each with a local output-feedback controller. We assume each agent is a node in a directed acyclic graph and the controllers share information along the edges in order to cooperatively…

系统与控制 · 电气工程与系统科学 2024-09-23 Mruganka Kashyap , Laurent Lessard

Various kinds of spread of influence occur in real world social and virtual networks. These phenomena are formulated by activation processes and irreversible dynamic monopolies in combinatorial graphs representing the topology of the…

离散数学 · 计算机科学 2024-03-05 Manouchehr Zaker

We consider the problem of controlling an SIR-model epidemic by temporarily reducing the rate of contact within a population. The control takes the form of a multiplicative reduction in the contact rate of infectious individuals. The…

最优化与控制 · 数学 2021-06-29 David I. Ketcheson

Spreading processes on graphs are a natural model for a wide variety of real-world phenomena, including information spread over social networks and biological diseases spreading over contact networks. Often, the networks over which these…

数据结构与算法 · 计算机科学 2021-02-12 Jessica Enright , Kitty Meeks , George B. Mertzios , Viktor Zamaraev

Starting from a unit mass on a vertex of a graph, we investigate the minimum number of "\emph{controlled diffusion}" steps needed to transport a constant mass $p$ outside of the ball of radius $n$. In a step of a controlled diffusion…

组合数学 · 数学 2017-03-30 Laura Florescu , Yuval Peres , Miklos Z. Racz

We study the following model of disease spread in a social network. At first, all individuals are either infected or healthy. Next, in discrete rounds, the disease spreads in the network from infected to healthy individuals such that a…

计算复杂性 · 计算机科学 2024-09-04 Michal Dvořák , Dušan Knop , Šimon Schierreich

Social dynamics is concerned primarily with interactions among individuals and the resulting group behaviors, modeling the temporal evolution of social systems via the interactions of individuals within these systems. In particular, the…

机器学习 · 统计学 2016-11-08 Zhen Xu , Wen Dong , Sargur Srihari

In this paper, we study the dynamics of epidemic processes taking place in temporal and adaptive networks. Building on the activity-driven network model, we propose an adaptive model of epidemic processes, where the network topology…

社会与信息网络 · 计算机科学 2018-02-27 Masaki Ogura , Victor M. Preciado , Naoki Masuda

Social networks represent nowadays in many contexts the main source of information transmission and the way opinions and actions are influenced. For instance, generic advertisements are way less powerful than suggestions from our contacts.…

神经与进化计算 · 计算机科学 2021-05-03 Kateryna Konotopska , Giovanni Iacca

We approach the development of models and control strategies of susceptible-infected-susceptible (SIS) epidemic processes from the perspective of marked temporal point processes and stochastic optimal control of stochastic differential…

最优化与控制 · 数学 2018-12-04 Lars Lorch , Abir De , Samir Bhatt , William Trouleau , Utkarsh Upadhyay , Manuel Gomez-Rodriguez

We present a set-oriented graph-based computational framework for continuous-time optimal transport over nonlinear dynamical systems. We recover provably optimal control laws for steering a given initial distribution in phase space to a…

动力系统 · 数学 2018-12-21 Karthik Elamvazhuthi , Piyush Grover

We consider the problem of steering a multi-agent system to multi-consensus, namely a regime where groups of agents agree on a given value which may be different from group to group. We first address the problem by using distributed…

系统与控制 · 电气工程与系统科学 2021-02-19 Lucia Valentina Gambuzza , Mattia Frasca

Models for control of epidemics on local, global and small-world networks are considered, with only partial information accessible about the status of individuals and their connections. The main goal of an effective control measure is to…

物理与社会 · 物理学 2007-05-23 A. Kleczkowski , B. Dybiec , C. A. Gilligan

In this paper we make the first steps to bridge the gap between classic control theory and modern, network-based epidemic models. In particular, we apply nonlinear model predictive control (NMPC) to a pairwise ODE model which we use to…

经典分析与常微分方程 · 数学 2014-02-11 Fanni Sélley , Ádám Besenyei , Istvan Z. Kiss , Péter L. Simon