We analyze the contact process on random graphs generated according to the preferential attachment scheme as a model for the spread of viruses in the Internet. We show that any virus with a positive rate of spread from a node to its neighbors has a non-vanishing chance of becoming epidemic. Quantitatively, we discover an interesting dichotomy: for it virus with effective spread rate λ, if the infection starts at a typical vertex, then it develops into an epidemic with probability λ^Θ ((log (1/ λ)/log log (1/ λ))), but on average the epidemic probability is λ^(Θ (1))
In this thesis we analyze the relationship between epidemiology and network theory, starting from th...
Conventional epidemic models assume omni-directional contact-based infection. This strongly associat...
Understanding models which represent the invasion of network-based systems by infectious agents can ...
The Internet has a very complex connectivity recently modeled by the class of scale-free networks. T...
We study one specific version of the contact process on a graph. Here, we allow multiple infections ...
Local interactions on a graph will lead to global dynamic behaviour. In this thesis we focus on two ...
<div><p>Understanding models which represent the invasion of network-based systems by infectious age...
In this paper, we propose a modified susceptible-infected-recovered (SIR) model, in which each node ...
We study the contact process on a class of evolving scale-free networks, where each node updates its...
Understanding the dynamics of computer virus (malware, worm) in cyberspace is an important problem t...
In real-world networks of disease transmission, the incidence of infection among individuals conform...
One way to describe the spread of an infection on a network is by approximating the network by a ran...
We study by analytical methods and large scale simulations a dynamical model for the spreading of ep...
Abstract. We are interested in the spread of an epidemic between two communities that have higher co...
Spreading phenomena such as spreading of diseases, information and computer viruses are ubiquitous i...
In this thesis we analyze the relationship between epidemiology and network theory, starting from th...
Conventional epidemic models assume omni-directional contact-based infection. This strongly associat...
Understanding models which represent the invasion of network-based systems by infectious agents can ...
The Internet has a very complex connectivity recently modeled by the class of scale-free networks. T...
We study one specific version of the contact process on a graph. Here, we allow multiple infections ...
Local interactions on a graph will lead to global dynamic behaviour. In this thesis we focus on two ...
<div><p>Understanding models which represent the invasion of network-based systems by infectious age...
In this paper, we propose a modified susceptible-infected-recovered (SIR) model, in which each node ...
We study the contact process on a class of evolving scale-free networks, where each node updates its...
Understanding the dynamics of computer virus (malware, worm) in cyberspace is an important problem t...
In real-world networks of disease transmission, the incidence of infection among individuals conform...
One way to describe the spread of an infection on a network is by approximating the network by a ran...
We study by analytical methods and large scale simulations a dynamical model for the spreading of ep...
Abstract. We are interested in the spread of an epidemic between two communities that have higher co...
Spreading phenomena such as spreading of diseases, information and computer viruses are ubiquitous i...
In this thesis we analyze the relationship between epidemiology and network theory, starting from th...
Conventional epidemic models assume omni-directional contact-based infection. This strongly associat...
Understanding models which represent the invasion of network-based systems by infectious agents can ...