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Most infectious diseases including more than half of known human pathogens are not restricted to just one host, yet much of the mathematical modeling of infections has been limited to a single species. We investigate consequences of a…

种群与进化 · 定量生物学 2017-08-30 Sergei Maslov , Kim Sneppen

Contagious processes, such as spread of infectious diseases, social behaviors, or computer viruses, affect biological, social, and technological systems. Epidemic models for large populations and finite populations on networks have been…

最优化与控制 · 数学 2020-04-14 Renato Pagliara , Naomi E. Leonard

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, and reconnecting those links with the rest of the…

物理与社会 · 物理学 2007-07-11 Damian H. Zanette

Motivated by the increasing number of COVID-19 cases that have been observed in many countries after the vaccination and relaxation of non-pharmaceutical interventions, we propose a mathematical model on time-varying networks for the spread…

动力系统 · 数学 2022-03-09 Kathinka Frieswijk , Lorenzo Zino , Ming Cao

We propose a dynamical model for describing the spread of epidemics. This model is an extension of the SIQR (susceptible-infected-quarantined-recovered) and SIRP (susceptible-infected-recovered-pathogen) models used earlier to describe…

物理与社会 · 物理学 2022-12-08 S. P. Lukyanets , I. S. Gandzha , O. V. Kliushnichenko

We study epidemic spreading processes in large networks, when the spread is assisted by a small number of external agents: infection sources with bounded spreading power, but whose movement is unrestricted vis-\`a-vis the underlying network…

社会与信息网络 · 计算机科学 2014-04-15 Siddhartha Banerjee , Aditya Gopalan , Abhik Kumar Das , Sanjay Shakkottai

We study a family of binary state, socially-inspired contagion models which incorporate imitation limited by an aversion to complete conformity. We uncover rich behavior in our models whether operating with either probabilistic or…

混沌动力学 · 物理学 2013-03-08 Peter Sheridan Dodds , Kameron Decker Harris , Christopher M. Danforth

The simultaneous emergence of several abrupt disease outbreaks or the extinction of some serotypes of multi-strain diseases are fingerprints of the interaction between pathogens spreading within the same population. Here, we propose a…

物理与社会 · 物理学 2019-12-25 David Soriano-Paños , Fakhteh Ghanbarnejad , Sandro Meloni , Jesús Gómez-Gardeñes

We develop a mathematical framework to study the economic impact of infectious diseases by integrating epidemiological dynamics with a kinetic model of wealth exchange. The multi-agent description leads to study the evolution over time of a…

物理与社会 · 物理学 2020-08-12 G. Dimarco , L. Pareschi , G. Toscani , M. Zanella

We study convergence properties of competing epidemic models of the Susceptible-Infected-Susceptible (SIS) type. The SIS epidemic model has seen widespread popularity in modelling the spreading dynamics of contagions such as viruses,…

系统与控制 · 电气工程与系统科学 2022-10-12 Vishwaraj Doshi , Shailaja Mallick , Do Young eun

Understanding the interplay between human behavioral phenomena and infectious disease dynamics has been one of the central challenges of mathematical epidemiology. However, socio-cognitive processes critical for the initiation of desired…

物理与社会 · 物理学 2024-01-01 Qingchu Wu , Tarik Hadzibeganovic , Xiao-Pu Han

We propose a model for epidemic spreading on a finite complex network with a restriction to at most one contamination per time step. Because of a highly discrete character of the process, the analysis cannot use the continous approximation,…

物理与社会 · 物理学 2013-07-23 Wojciech Ganczarek

In real social networks, person-to-person interactions are known to be heterogeneous, which can affect the way a disease spreads through a population, reaches a tipping point in the fraction of infected individuals, and becomes an epidemic.…

物理与社会 · 物理学 2020-05-12 Ignacio A. Perez , Paul A. Trunfio , Cristian E. La Rocca , Lidia A. Braunstein

We propose an epidemic model for the spread of vector-borne diseases. The model, which is built extending the classical susceptible-infected-susceptible model, accounts for two populations -- humans and vectors -- and for cross-contagion…

系统与控制 · 电气工程与系统科学 2025-10-21 Lorenzo Zino , Alessandro Casu , Alessandro Rizzo

The dynamic nature of system gives rise to dynamical features of epidemic spreading, such as oscillation and bistability. In this paper, by studying the epidemic spreading in growing networks, in which susceptible nodes may adaptively break…

物理与社会 · 物理学 2015-03-20 Jie Zhou , Gaoxi Xiao , Siew Ann Cheong , Xiuju Fu , Lim Soon Wong , Stefan Ma , Tee Hiang Cheng

In the context of epidemic spreading, many intricate dynamical patterns can emerge due to the cooperation of different types of pathogens or the interaction between the disease spread and other failure propagation mechanism. To unravel such…

物理与社会 · 物理学 2024-05-07 Bo Li , David Saad

Epidemic spreading often occurs in spatially heterogeneous environments, yet how quenched heterogeneity reshapes its onset and critical dynamics remains poorly understood. The diffusive epidemic process, a minimal reaction-diffusion model…

统计力学 · 物理学 2026-03-24 Valentin Anfray , Hong-Yan Shih

We propose an epidemiological model that includes the mobility patterns of the individuals, in the spirit to those considered in (Barmak, 2011, 2016) and (Medus, 2011). We assume that people move around in a city of 120x120 blocks with 300…

物理与社会 · 物理学 2021-12-08 Fernando E. Cornes , Guillermo A. Frank , Claudio O. Dorso

We consider a simple stochastic model for the spread of a disease caused by two virus strains in a closed homogeneously mixing population of size N. The spread of each strain in the absence of the other one is described by the stochastic…

概率论 · 数学 2018-02-13 Fabio Lopes , Malwina Luczak

his paper describes and analyzes the spatial spread of tuberculosis (TB) on complex metapopulation, that is, networks of populations connected by migratory flows whose configurations are described in terms of connectivity distribution of…

动力系统 · 数学 2015-03-13 Berge Tsanou , Samuel Bowong , Jean Jules Tewa