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The initial phase of an epidemic is often characterized by an exponential increase in the number of infected individuals. In this paper, we predict the exponential spreading rate of an epidemic on a complex network. We first find an…

Physics and Society · Physics 2025-04-21 Samuel Cure , Florian G. Pflug , Simone Pigolotti

A model for epidemics on an adaptive network is considered. Nodes follow an SIRS (susceptible-infective-recovered-susceptible) pattern. Connections are rewired to break links from non-infected nodes to infected nodes and are reformed to…

Populations and Evolution · Quantitative Biology 2009-11-13 Leah B. Shaw , Ira B. Schwartz

Using a mean-field network formulation of the Bass innovation diffusion model and exact results by Fotouhi and Rabbat on the degree correlations of Barabasi-Albert networks, we compute the times of the diffusion peak and compare them with…

Physics and Society · Physics 2019-04-03 M. L. Bertotti , G. Modanese

Data of physical contacts and face-to-face communications suggest temporally varying networks as the media on which infections take place among humans and animals. Epidemic processes on temporal networks are complicated by complexity of…

Physics and Society · Physics 2016-07-12 Leo Speidel , Konstantin Klemm , Víctor M. Eguíluz , Naoki Masuda

To simplify mathematical models of disease spread, we often assume equal contact rates among hosts, but real-world scenarios differ. Network-based frameworks help capture these complexities and structural variations in actual systems. We…

Dynamical Systems · Mathematics 2024-07-03 Saswata Das , Mohammad Hossein Samaei , Caterina Scoglio

We propose and solve exactly a model of a network that has both a tunable degree distribution and a tunable clustering coefficient. Among other things, our results indicate that increased clustering leads to a decrease in the size of the…

Statistical Mechanics · Physics 2009-11-10 M. E. J. Newman

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

We study the non-equilibrium phase transition in a model for epidemic spreading on scale-free networks. The model consists of two particle species $A$ and $B$, and the coupling between them is taken to be asymmetric; $A$ induces $B$ while…

Statistical Mechanics · Physics 2009-11-11 Yong-Yeol Ahn , Naoki Masuda , Hawoong Jeong , Jae Dong Noh

We study the effectiveness of recovery strategies for a dynamic model of failure spreading in networks. These strategies control the distribution of resources based on information about the current network state and network topology. In…

Physics and Society · Physics 2009-11-13 Lubos Buzna , Karsten Peters , Hendrik Ammoser , Christian Kuehnert , Dirk Helbing

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…

Dynamical Systems · Mathematics 2022-03-09 Kathinka Frieswijk , Lorenzo Zino , Ming Cao

We present a modified \emph{susceptible-infected-susceptible} (SIS) model on complex networks, small-world and scale-free, to study epidemic spreading with the effect of time delay which is introduced to the infected phase. Considering the…

Physics and Society · Physics 2009-11-11 Xin-Jian Xu , Hai-Ou Peng , Xiao-Mei Wang , Ying-Hai Wang

We study the effect of heterogeneous temporal activations on epidemic spreading in temporal networks. We focus on the susceptible-infected-susceptible (SIS) model on activity-driven networks with burstiness. By using an activity-based…

Physics and Society · Physics 2019-05-28 Marco Mancastroppa , Alessandro Vezzani , Miguel A. Muñoz , Raffaella Burioni

We consider the effect of inducement to vaccinate during the spread of an infectious disease on complex networks. Suppose that public resources are finite and that only a small proportion of individuals can be vaccinated freely (complete…

Physics and Society · Physics 2015-03-30 Hai-Feng Zhang , Pan-Pan Shu , Ming Tang , Michael Small

Community structure is one of the most relevant features encountered in numerous real-world applications of networked systems. Despite the tremendous effort of scientists working on this subject over the past few decades to characterize,…

Physics and Society · Physics 2019-12-18 Hocine Cherifi , Gergely Palla , Boleslaw K. Szymanski , Xiaoyan Lu

The presence of interference, where the outcome of an individual may depend on the treatment assignment and behavior of neighboring nodes, can lead to biased causal effect estimation. Current approaches to network experiment design focus on…

Machine Learning · Computer Science 2024-05-22 Zahra Fatemi , Jean Pouget-Abadie , Elena Zheleva

We study geographical effects on the spread of diseases in lattice-embedded scale-free networks. The geographical structure is represented by the connecting probability of two nodes that is related to the Euclidean distance between them in…

Physics and Society · Physics 2009-11-11 Xin-Jian Xu , Zhi-Xi Wu , Guanrong Chen

Local decision rules are commonly understood to be more explainable, due to the local nature of the patterns involved. With numerical optimization methods such as gradient boosting, ensembles of local decision rules can gain good predictive…

Machine Learning · Computer Science 2025-08-27 Xin Du , Subramanian Ramamoorthy , Wouter Duivesteijn , Jin Tian , Mykola Pechenizkiy

Diffusion processes in networks are increasingly used to model the spread of information and social influence. In several applications in computational sustainability such as the spread of wildlife, infectious diseases and traffic mobility…

Social and Information Networks · Computer Science 2013-09-27 Akshat Kumar , Daniel Sheldon , Biplav Srivastava

We find that different geographical structures of networks lead to varied percolation thresholds, although these networks may have similar abstract topological structures. Thus, the strategies for enhancing robustness and immunization of a…

Physics and Society · Physics 2009-09-29 Liang Huang , Lei Yang , Kongqing Yang

We consider a spatial model related to bond percolation for the spread of a disease that includes variation in the susceptibility to infection. We work on a lattice with random bond strengths and show that with strong disorder, i.e. a wide…

Statistical Mechanics · Physics 2007-05-23 C. P. Warren , L. M. Sander , I. M. Sokolov