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The evolutionary dynamics of human Influenza A virus presents a challenging theoretical problem. An extremely high mutation rate allows the virus to escape, at each epidemic season, the host immune protection elicited by previous…

Populations and Evolution · Quantitative Biology 2016-11-30 Lorenzo Taggi , Francesca Colaiori , Vittorio Loreto , Francesca Tria

Single virus epidemics over complete networks are widely explored in the literature as the fraction of infected nodes is, under appropriate microscopic modeling of the virus infection, a Markov process. With non-complete networks, this…

Social and Information Networks · Computer Science 2013-07-01 Augusto Santos , José M. F. Moura , João Xavier

We propose a new mechanism leading to scale-free networks which is based on the presence of an intrinsic character of a vertex called fitness. In our model, a vertex $i$ is assigned a fitness $x_i$, drawn from a given probability…

Physics and Society · Physics 2015-05-18 Xin-Jian Xu , Liu-Ming Zhang , Li-Jie Zhang

This paper investigates the dynamics of infectious diseases with a non-exponentially distributed infectious period. This is achieved by considering a multi-stage infection model on networks. Using pairwise approximation with a standard…

Physics and Society · Physics 2015-11-23 N. Sherborne , K. B. Blyuss , I. Z. Kiss

The Watts-Strogatz algorithm of transferring the square lattice to a small world network is modified by introducing preferential rewiring constrained by connectivity demand. The evolution of the network is two-step: sequential preferential…

Statistical Mechanics · Physics 2009-11-11 Danuta Makowiec

In the paper, we present an incremental approach in the construction of scale free networks with hidden variables. The work arises from the necessity to generate that type of networks with a given number of links instead of obtaining a…

Disordered Systems and Neural Networks · Physics 2021-06-10 Fabio Vanni

Using the minority game as a model for competition dynamics, we investigate the effects of inter-agent communications on the global evolution of the dynamics of a society characterized by competition for limited resources. The agents…

Statistical Mechanics · Physics 2009-11-10 M. Anghel , Zoltan Toroczkai , Kevin E. Bassler , G. Korniss

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 evolution of many microbes and pathogens, including circulating viruses such as seasonal influenza, is driven by immune pressure from the host population. In turn, the immune systems of infected populations get updated, chasing viruses…

Populations and Evolution · Quantitative Biology 2022-06-01 Jacopo Marchi , Michael Lässig , Aleksandra M. Walczak , Thierry Mora

When evolutionary games are contested in structured populations, the degree of each player in the network plays an important role. If they exist, hubs often determine the fate of the population in remarkable ways. Recent research based on…

Physics and Society · Physics 2016-04-15 Attila Szolnoki , Matjaz Perc

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

Complex networks describe a wide range of systems in nature and society. Frequently cited examples include Internet, WWW, a network of chemicals linked by chemical reactions, social relationship networks, citation networks, etc. The…

Physics and Society · Physics 2013-02-26 James Kim

A biologically motivated individual-based framework for evolution in network-structured populations is developed that can accommodate eco-evolutionary dynamics. This framework is used to construct a network birth and death model. The…

Populations and Evolution · Quantitative Biology 2021-03-19 Karan Pattni , Christopher E. Overton , Kieran J. Sharkey

Since its emergence in 1968, influenza A (H3N2) has evolved extensively in genotype and antigenic phenotype. Antigenic evolution occurs in the context of a two-dimensional 'antigenic map', while genetic evolution shows a characteristic…

Populations and Evolution · Quantitative Biology 2011-11-22 Trevor Bedford , Andrew Rambaut , Mercedes Pascual

We investigate the evolution of populations of random Boolean networks under selection for robustness of the dynamics with respect to the perturbation of the state of a node. The fitness landscape contains a huge plateau of maximum fitness…

Populations and Evolution · Quantitative Biology 2009-11-13 Tamara Mihaljev , Barbara Drossel

We introduce and discuss a minimal individual-based model for influenza dynamics. The model takes into account the effects of specific immunization against viral strains, but also infectivity randomness and the presence of a short-lived…

Populations and Evolution · Quantitative Biology 2009-11-11 Francesca Tria , Michael Laessig , Luca Peliti , Silvio Franz

We present a general model for the growth of weighted networks in which the structural growth is coupled with the edges' weight dynamical evolution. The model is based on a simple weight-driven dynamics and a weights' reinforcement…

Statistical Mechanics · Physics 2009-11-10 Alain Barrat , Marc Barthelemy , Alessandro Vespignani

Modeling human behavior is essential to accurately predict epidemic spread, with behaviors like vaccine hesitancy complicating control efforts. While epidemic spread is often treated as a simple contagion, vaccine uptake may follow complex…

Physics and Society · Physics 2024-12-17 Alfonso de Miguel-Arribas , Alberto Aleta , Yamir Moreno

Motivated by massive outbreaks of COVID-19 that occurred even in populations with high vaccine uptake, we propose a novel multi-population temporal network model for the spread of recurrent epidemic diseases. We study the effect of human…

Dynamical Systems · Mathematics 2022-09-19 Kathinka Frieswijk , Lorenzo Zino , Ming Cao

Computer infections such as viruses and worms spread over networks of contacts between computers, with different types of networks being exploited by different types of infections. Here we analyze the structures of several of these…

Networking and Internet Architecture · Computer Science 2007-05-23 Justin Balthrop , Stephanie Forrest , M. E. J. Newman , Matthew M. Williamson