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Related papers: Discrete-Time Two-Strain Epidemic Dynamics on Comp…

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We study a symmetric two-disease SIR co-infection model on networks in which co-infected individuals recover at a rate distinct from that of single infections. The model explicitly represents all co-infection states and features absorbing…

Statistical Mechanics · Physics 2025-12-22 Gerardo Palafox-Castillo , Ericka Fabiola Vázquez-Alcalá , Arturo Berrones-Santos

We study how the interplay between the memory immune response and pathogen mutation affects epidemic dynamics in two related models. The first explicitly models pathogen mutation and individual memory immune responses, with contacted…

Chaotic Dynamics · Physics 2009-11-07 Michelle Girvan , Duncan S. Callaway , M. E. J. Newman , Steven H. Strogatz

Social interactions are stratified in multiple contexts and are subject to complex temporal dynamics. The systematic study of these two features of social systems has started only very recently mainly thanks to the development of multiplex…

Physics and Society · Physics 2018-12-12 Quan-Hui Liu , Xinyue Xiong , Qian Zhang , Nicola Perra

We study the dynamics of secondary infections on networks, in which only the individuals currently carrying a certain primary infection are susceptible to the secondary infection. In the limit of large sparse networks, the model is mapped…

Probability · Mathematics 2018-05-23 Sam Moore , Peter Mörters , Tim Rogers

The propagation of infectious diseases and its impact on individuals play a major role in disease dynamics, and it is important to incorporate population heterogeneity into efforts to study diseases. As a simplistic but illustrative…

Populations and Evolution · Quantitative Biology 2019-07-24 Juan G. Calvo , Alberto Hernández , Mason A. Porter , Fabio Sanchez

The evolution of network structure and the spreading of epidemic are common coexistent dynamical processes. In most cases, network structure is treated either static or time-varying, supposing the whole network is observed in a same time…

Physics and Society · Physics 2016-03-23 Yanjun Lei , Xin Jiang , Quantong Guo , Yifang Ma , Meng Li , Zhiming Zheng

Modeling long-range epidemic spreading in a random environment, we consider a quenched disordered, $d$-dimensional contact process with infection rates decaying with the distance as $1/r^{d+\sigma}$. We study the dynamical behavior of the…

Disordered Systems and Neural Networks · Physics 2015-04-02 R. Juhász , I. A. Kovács , F. Iglói

Although suppressing the spread of a disease is usually achieved by investing in public resources, in the real world only a small percentage of the population have access to government assistance when there is an outbreak, and most must…

Physics and Society · Physics 2018-02-14 Xiaolong Chen , Ruijie Wang , Ming Tang , Shimin Cai , H. Eugene Stanley , Lidia A. Braunstein

In the present work, a non-linear stochastic model is presented to study the effect of time variation of transmission rates on the co-evolution of epidemics and its corresponding awareness over a two layered multiplex network. In this…

Physics and Society · Physics 2021-12-08 Vikram Sagar , Yi Zhao , Abhijit Sen

The spread of an infectious disease can, in some cases, promote the propagation of other pathogens favouring violent outbreaks, which cause a discontinuous transition to an endemic state. The topology of the contact network plays a crucial…

Physics and Society · Physics 2018-03-21 Peng-Bi Cui , Francesca Colaiori , Claudio Castellano

In this brief, we study epidemic spreading dynamics taking place in complex networks. We specifically investigate the effect of synergy, where multiple interactions between nodes result in a combined effect larger than the simple sum of…

Social and Information Networks · Computer Science 2019-04-23 Masaki Ogura , Wenjie Mei , Kenji Sugimoto

We consider the dynamics of a virus spreading through a population that produces a mutant strain with the ability to infect individuals that were infected with the established strain. Temporary cross-immunity is included using a time delay,…

Populations and Evolution · Quantitative Biology 2023-02-16 Bruce Pell , Samantha Brozak , Tin Phan , Fuqing Wu , Yang Kuang

We study a general epidemic model with arbitrary recovery rate distributions. This simple deviation from the standard setup is sufficient to prove that heterogeneity in the dynamical parameters can be as important as the more studied…

Physics and Society · Physics 2020-01-22 Guilherme Ferraz de Arruda , Giovanni Petri , Francisco A. Rodrigues , Yamir Moreno

We study by analytical methods and large scale simulations a dynamical model for the spreading of epidemics in complex networks. In networks with exponentially bounded connectivity we recover the usual epidemic behavior with a threshold…

Statistical Mechanics · Physics 2009-11-07 Romualdo Pastor-Satorras , Alessandro Vespignani

Human diseases spread over networks of contacts between individuals and a substantial body of recent research has focused on the dynamics of the spreading process. Here we examine a model of two competing diseases spreading over the same…

Physics and Society · Physics 2015-03-19 Brian Karrer , M. E. J. Newman

Motile organisms can form stable agglomerates such as cities or colonies. In the outbreak of a highly contagious disease, the control of large-scale epidemic spread depends on factors like the number and size of agglomerates, travel rate…

Populations and Evolution · Quantitative Biology 2023-04-03 Pablo de Castro , Felipe Urbina , Ariel Norambuena , Francisca Guzmán-Lastra

We investigate the effects of heterogeneous and clustered contact patterns on the timescale and final size of infectious disease epidemics. The abundance of transitive relationships (the number of 3 cliques) in a network and the variance of…

Quantitative Methods · Quantitative Biology 2010-06-07 Erik M Volz

The dynamics of herd immunity depend crucially on the interaction between collective social behavior and disease transmission, but the role of heterogeneity in this context frequently remains unclear. Here, we dissect this co-evolutionary…

Physics and Society · Physics 2026-02-05 Mehran Noori , Nahid Azimi-Tafreshi , Mohammad Salahshour

Changing environmental conditions can significantly affect the dynamics of disease spread. These changes may arise naturally or result from human interventions; in the latter case, lockdown measures that lead to abrupt but temporary…

Statistical Mechanics · Physics 2026-05-29 Elad Korngut , Michael Assaf

Infectious disease transmission in human populations has a complex two-way interaction with changes in host behaviour. It is increasingly recognised that incorporating adaptive behavioural change into epidemic models is important for…

Populations and Evolution · Quantitative Biology 2026-04-14 Michael J. Plank , Matt Ryan , Lloyd Chapman , Roslyn I. Hickson , Thomas House , Emma McBryde , James M. McCaw