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One of the major issues in the theoretical modeling of epidemic spreading is the development of methods to control the transmission of an infectious agent. Human behavior plays a fundamental role in the spreading dynamics and can be used to…

Persistence of motion is the tendency of an object to maintain motion in a direction for short time scales without necessarily being biased in any direction in the long term. One of the most appropriate mathematical tools to study this…

Soft Condensed Matter · Physics 2018-04-04 Enrico Gavagnin , Christian A. Yates

Infectious disease outbreaks have precipitated a profusion of mathematical models. Epidemic curves predicted by these models are typically qualitatively similar, despite distinct model assumptions, but there is no theoretical explanation…

Populations and Evolution · Quantitative Biology 2026-02-23 David J. D. Earn , Todd L. Parsons

Random walk is one of the basic mechanisms found in many network applications. We study the epidemic spreading dynamics driven by biased random walks on complex networks. In our epidemic model, each time infected nodes constantly spread…

Physics and Society · Physics 2015-06-22 Cunlai Pu , Siyuan Li , Jian Yang

Our recent experience with the COVID-19 pandemic amply shows that spatial effects like the mobility of agents and average interpersonal distance, together with the adaptation of agents, are very important in deciding the outcome of epidemic…

Physics and Society · Physics 2025-01-13 Akhil Panicker , V Sasidevan

Abridged abstract: Inert interactions between randomly moving entities and spatial disorder play a crucial role in quantifying the diffusive properties of a system. These interactions affect only the movement of the entities, and examples…

Statistical Mechanics · Physics 2022-09-20 Seeralan Sarvaharman , Luca Giuggioli

We study the spreading of an infection within an SIS epidemiological model on a network. Susceptible agents are given the opportunity of breaking their links with infected agents. Broken links are either permanently removed or reconnected…

Populations and Evolution · Quantitative Biology 2007-11-07 Damian H. Zanette , Sebastian Risau Gusman

A simple, but ``classical``, stochastic model for epidemic spread in a finite, but large, population is studied. The progress of the epidemic can be divided into three different phases that requires different tools to analyse. Initially the…

Populations and Evolution · Quantitative Biology 2018-05-29 Åke Svensson

Active Brownian disks moving in two dimensions that exchange information about their internal state stochastically are chosen to model epidemic spread in a self-propelled population of agents under the…

Soft Condensed Matter · Physics 2024-11-21 R. Kailasham , Aditya S. Khair

We study the dynamics of epidemic spreading processes aimed at spontaneous dissemination of information updates in populations with complex connectivity patterns. The influence of the topological structure of the network in these processes…

Statistical Mechanics · Physics 2009-11-10 Yamir Moreno , Maziar Nekovee , Alessandro Vespignani

Epidemics seldom occur as isolated phenomena. Typically, two or more viral agents spread within the same host population and may interact dynamically with each other. We present a general model where two viral agents interact via an…

Models of biological processes are often subject to different sources of noise. Developing an understanding of the combined effects of different types of uncertainty is an open challenge. In this paper, we study a variant of the…

Populations and Evolution · Quantitative Biology 2018-03-28 Francisco Herrerías-Azcué , Tobias Galla

One of the popular dynamics on complex networks is the epidemic spreading. An epidemic model describes how infections spread throughout a network. Among the compartmental models used to describe epidemics, the…

Physics and Society · Physics 2011-07-14 Faryad Darabi Sahneh , Caterina Scoglio

In this paper, we propose and analyze a reaction-diffusion susceptible-infected-susceptible (SIS) epidemic patch model. The individuals are assumed to reside in different patches, where they are able to move inside and among the patches.…

Populations and Evolution · Quantitative Biology 2023-01-18 Shanshan Chen , Yixiang Wu

Human cognitive responses, behavioral responses, and disease dynamics co-evolve over the course of any disease outbreak, and can result in complex feedbacks. We present a dynamic agent-based model that explicitly couples the spread of…

Evolution of disease in a large population is a function of the top-down policy measures from a centralized planner, as well as the self-interested decisions (to be socially active) of individual agents in a large heterogeneous population.…

Optimization and Control · Mathematics 2022-06-07 S. Yagiz Olmez , Shubham Aggarwal , Jin Won Kim , Erik Miehling , Tamer Başar , Matthew West , Prashant G. Mehta

Emerging marine infectious diseases pose a substantial threat to marine ecosystems and the conservation of their biodiversity. Compartmental models of epidemic transmission in marine sessile organisms, available only recently, are based on…

Populations and Evolution · Quantitative Biology 2022-11-03 Àlex Giménez-Romero , Federico Vazquez , Cristóbal López , Manuel A. Matías

Epidemics are emergent phenomena depending on the epidemiological characteristics of pathogens and the interaction and movement of people. Public transit systems have provided much important information about the movement of people, but…

Social and Information Networks · Computer Science 2018-09-24 Zhanwei Du , Chao Gao , Yuan Bai , Yongjian Yang , Petter Holme

Most previous studies of epidemic dynamics on complex networks suppose that the disease will eventually stabilize at either a disease-free state or an endemic one. In reality, however, some epidemics always exhibit sporadic and recurrent…

Physics and Society · Physics 2013-11-19 Xiao-Long Peng , Michael Small , Xin-Jian Xu , Xinchu Fu

We study a coupled epidemic-mobility model in which, at each time, individuals move in a network of spatially-distributed regions (sub-populations) according to a Continuous Time Markov Chain (CTMC) and subsequently interact with the local…

Systems and Control · Electrical Eng. & Systems 2019-09-30 Vishal Abhishek , Vaibhav Srivastava