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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

In this paper, the authors develop a method of detecting correlations between epidemic patterns in different regions that are due to human movement and introduce a null model in which the travel-induced correlations are cancelled. They…

Populations and Evolution · Quantitative Biology 2008-06-24 Pascal Crépey , Marc Barthélemy

In this article, we proposed a susceptible-infected model with identical infectivity, in which, at every time step, each node can only contact a constant number of neighbors. We implemented this model on scale-free networks, and found that…

Biological Physics · Physics 2007-05-23 Tao Zhou , Jian-Guo Liu , Wen-Jie Bai , Guanrong Chen , Bing-Hong Wang

We study the problem of a policymaker who aims at taming the spread of an epidemic while minimizing its associated social costs. The main feature of our model lies in the fact that the disease's transmission rate is a diffusive stochastic…

Optimization and Control · Mathematics 2020-11-04 Salvatore Federico , Giorgio Ferrari

In this paper we consider a simple two-patch model in which a population affected by a disease can freely move. We assume that the capacity of the interconnected paths is limited, and thereby influencing the migration rates. Possible…

Dynamical Systems · Mathematics 2014-03-19 Silvia Motto , Ezio Venturino

Despite the advanced stage of epidemic modeling, there is a major demand for methods to incorporate behavioral responses to the spread of a disease such as social distancing and adoption of prevention methods. Mobility plays an important…

Physics and Society · Physics 2022-03-14 Paulo Cesar Ventura , Alberto Aleta , Francisco A. Rodrigues , Yamir Moreno

We determine the asymptotic spreading speed of an invasive species, which invades the territory of a native competitor, governed by a diffusive competition model with a free boundary in a spherically symmetric setting. This free boundary…

Analysis of PDEs · Mathematics 2015-06-19 Yihong Du , Mingxin Wang , Maolin Zhou

In this work, we aim to understand the influence of the heterogeneity of infection rates on the Susceptible-Infected-Susceptible (SIS) epidemic spreading. Employing the classic SIS model as the benchmark, we study the influence of the…

Physics and Society · Physics 2016-04-06 Bo Qu , Huijuan Wang

Airborne diseases can be transmitted by infectious aerosols in the near field, i.e., in close proximity, or in the far field, i.e., by infectious aerosols that are well mixed within the indoor air. Is it possible to say which mode of…

Populations and Evolution · Quantitative Biology 2023-04-25 Bardia Hejazi , Oliver Schlenczek , Birte Thiede , Gholamhossein Bagheri , Eberhard Bodenschatz

To study the influence of the moving front of the infected interval and the spatial movement of individuals on the spreading or vanishing of infectious disease, we consider a nonlocal SIS (susceptible-infected-susceptible)…

Analysis of PDEs · Mathematics 2023-01-31 Yachun Tong , Inkyung Ahn , Zhigui Lin

We introduce the effect of site contamination in a model for spatial epidemic spread and show that the presence of site contamination may have a strict effect on the model in the sense that it can make an otherwise subcritical process…

Probability · Mathematics 2017-05-23 Tom Britton , Maria Deijfen , Fabio Lopes

Epidemic spreading can be suppressed by the introduction of containment measures such as social distancing and lock downs. Yet, when such measures are relaxed, new epidemic waves and infection cycles may occur. Here we explore this issue in…

Physics and Society · Physics 2020-12-07 Fabio Caccioli , Daniele De Martino

We investigate the Susceptible-Infectious-Recovered contagion dynamics in a system of self-propelled particles with polar alignment. Using agent-based simulations, we analyze the outbreak process for different combinations of the spatial…

Adaptation and Self-Organizing Systems · Physics 2021-06-16 Yinong Zhao , Cristián Huepe , Pawel Romanczuk

In this paper we study the diffusion of an SIS-type epidemics on a network under the presence of a random environment, that enters in the definition of the infection rates of the nodes. Accordingly, we model the infection rates in the form…

Probability · Mathematics 2016-07-25 Stefano Bonaccorsi , Stefania Ottaviano

Global strategies to contain a pandemic, such as social distancing and protective measures, are designed to reduce the overall transmission rate between individuals. Despite such measures, essential institutions, including hospitals,…

Populations and Evolution · Quantitative Biology 2022-09-07 Roberto Morán-Tovar , Henning Gruell , Florian Klein , Michael Lässig

Many infectious diseases are comprised of multiple strains with examples including Influenza, tuberculosis, and Dengue virus. The time evolution of such systems is linked to a complex landscape shaped by interactions between competing…

Populations and Evolution · Quantitative Biology 2023-11-21 Nir Gavish , Musa Rabiu

Airborne pandemics have caused millions of deaths worldwide, large-scale economic losses, and catastrophic sociological shifts in human history. Researchers have developed multiple mathematical models and computational frameworks to…

Information Retrieval · Computer Science 2024-06-18 Teddy Lazebnik , Ariel Alexi

The role of dispersal on the stability and synchrony of a metacommunity is a topic of considerable interest in theoretical ecology. Dispersal is known to promote both synchrony, which enhances the likelihood of extinction, and spatial…

Populations and Evolution · Quantitative Biology 2022-04-06 Snehasish Roy Chowdhury , Ramesh Arumugam , Wei Zou , V. K. Chandrasekar , D. V. Senthilkumar

The study of epidemic spreading on populations of networked individuals has seen recently a great deal of significant progresses. A common point of all past studies is, however, that there is only one peak of infected density in each single…

Physics and Society · Physics 2018-05-09 Muhua Zheng , Wei Wang , Ming Tang , Jie Zhou , S. Boccaletti , Zonghua Liu

The risks of disease transmission due to these droplets are significantly high in confined public spaces like elevators. A numerical analysis using OpenFOAM has been performed in this work to investigate the droplet dispersion routes in an…

Fluid Dynamics · Physics 2024-06-19 Anish Pal , Riddhideep Biswas , Sourav Sarkar , Achintya Mukhopadhyay
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