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Summary 1. Infectious disease outbreaks in plants threaten ecosystems, agricultural crops and food trade. Currently, several fungal diseases are affecting forests worldwide, posing a major risk to tree species, habitats and consequently…

Populations and Evolution · Quantitative Biology 2018-12-18 S. Orozco-Fuentes , G. Griffiths , M. J. Holmes , R. Ettelaie , J. Smith , A. W. Baggaley , N. G. Parker

Testing individuals for pathogens can affect the spread of epidemics. Understanding how individual-level processes of sampling and reporting test results can affect community- or population-level spread is a dynamical modeling question. The…

Populations and Evolution · Quantitative Biology 2021-07-20 Ali Gharouni , F. M. Abdelmalek , David J. D. Earn , Jonathan Dushoff , Benjamin M. Bolker

We consider a threshold epidemic model on a clustered random graph with overlapping communities. In other words, our epidemic model is such that an individual becomes infected as soon as the proportion of her infected neighbors exceeds the…

Probability · Mathematics 2014-02-03 Emilie Coupechoux , Marc Lelarge

We investigate the effects of risk perception in a simple model of epidemic spreading. We assume that the perception of the risk of being infected depends on the fraction of neighbors that are ill. The effect of this factor is to decrease…

Populations and Evolution · Quantitative Biology 2007-12-06 Franco Bagnoli , Pietro Lio , Luca Sguanci

Compartmental models are valuable tools for investigating infectious diseases. Researchers building such models typically begin with a simple structure where compartments correspond to individuals with different epidemiological statuses,…

Populations and Evolution · Quantitative Biology 2023-07-21 Darren Flynn-Primrose , Steven C. Walker , Michael Li , Benjamin M. Bolker , David J. D. Earn , Jonathan Dushoff

Epidemic outbreaks of new pathogens, or known pathogens in new populations, cause a great deal of fear because they are hard to predict. For theoretical models of disease spreading, on the other hand, quantities characterizing the outbreak…

Populations and Evolution · Quantitative Biology 2015-05-20 Petter Holme , Taro Takaguchi

We show that a certain model for the spread of an infection has a phase transition in the recuperation rate. The model is as follows: There are particles or individuals of type A and type B, interpreted as healthy and infected,…

Probability · Mathematics 2007-05-23 Harry Kesten , Vladas Sidoravicius

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

We consider a possibility of socioeconomic collapse caused by the spread of epidemic. To this end, we exploit a simple SIS-like (susceptible-infected-susceptible) model with negative feedback between the infected population size and a…

Physics and Society · Physics 2020-12-23 I. S. Gandzha , O. V. Kliushnichenko , S. P. Lukyanets

Capturing the structured mixing within a population is key to the reliable projection of infectious disease dynamics and hence informed control. Both heterogeneity in the number of contacts and age-structured mixing have been repeatedly…

Social and Information Networks · Computer Science 2026-03-17 Luke Murray Kearney , Emma L Davis , Matt J Keeling

In the present work the spread of epidemic is studied over complex networks which are characterized by power law degree distribution of links and heterogeneous rate of disease transmission. The random allocation of epidemic transmission…

Physics and Society · Physics 2016-07-19 Vikram Sagar , Yi Zhao

We present a stochastic epidemic model to study the effect of various preventive measures, such as uniform reduction of contacts and transmission, vaccination, isolation, screening and contact tracing, on a disease outbreak in a…

Populations and Evolution · Quantitative Biology 2022-07-08 Martina Favero , Gianpaolo Scalia Tomba , Tom Britton

The ability to directly record human face-to-face interactions increasingly enables the development of detailed data-driven models for the spread of directly transmitted infectious diseases at the scale of individuals. Complete coverage of…

The abrupt outbreak and transmission of biological diseases has always been a long-time concern of humankind. For long, mathematical modeling has served as a simple and yet efficient tool to investigate, predict, and control spread of…

Populations and Evolution · Quantitative Biology 2020-04-10 Aresh Dadlani , Richard O. Afolabi , Hyoyoung Jung , Khosrow Sohraby , Kiseon Kim

We investigate the spread of an infection or other malfunction of cascading nature when a system component can recover only if it remains reachable from a functioning central component. We consider the susceptible-infected-susceptible…

Physics and Society · Physics 2016-04-27 L. Böttcher , O. Woolley-Meza , E. Goles , D. Helbing , H. J. Herrmann

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

Accurate epidemic forecasting is crucial for outbreak preparedness, but existing data-driven models are often brittle. Typically trained on a single pathogen, they struggle with data scarcity during new outbreaks and fail under distribution…

Machine Learning · Computer Science 2026-02-25 Zewen Liu , Juntong Ni , Bohan Wang , Max S. Y. Lau , Wei Jin

The interaction among spreading processes on a complex network is a nontrivial phenomenon of great importance. It has recently been realized that cooperative effects among infective diseases can give rise to qualitative changes in the…

Physics and Society · Physics 2020-02-25 Byungjoon Min , Claudio Castellano

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

Infectious diseases are practically represented by models with multiple states and complex transition rules corresponding to, for example, birth, death, infection, recovery, disease progression, and quarantine. In addition, networks…

Disordered Systems and Neural Networks · Physics 2007-05-23 Naoki Masuda , Norio Konno