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- Piet Van Mieghem, Jasmina Omic, Robert E. Kooij
- IEEE/ACM Transactions on Networking
- 2009

The influence of the network characteristics on the virus spread is analyzed in a new--the <i>N</i>-intertwined Markov chain--model, whose only approximation lies in the application of mean field theory. The mean field approximation is quantified in detail. The <i>N</i>-intertwined model has been compared with the exact 2<sup><i>N</i></sup>-state Markov… (More)

- Piet Van Mieghem, Jasmina Omic
- ArXiv
- 2013

Our N -intertwined model [10] for virus spread in any network with N nodes is extended to a full heterogeneous setting. The metastable steady-state nodal infection probabilities are specified in terms of a generalized Laplacian, that possesses analogous properties as the classical Laplacian in graph theory. The critical threshold that separates global… (More)

- Jasmina Omic, Ariel Orda, Piet Van Mieghem
- INFOCOM
- 2009

Security breaches and attacks are critical problems in today’s networking. A key-point is that the security of each host depends not only on the protection strategies it chooses to adopt but also on those chosen by other hosts in the network. The spread of Internet worms and viruses is only one example. This class of problems has two aspects. First, it… (More)

- Jasmina Omic
- 2009

Abstract. The Susceptible Infected Susceptible (SIS) model is one of the basic models and it is applied for different networks and services in telecommunications. For more detailed prediction of the epidemic, it is necessary to examine the higher order moments, namely the variance of the number of infected nodes. Also, the predictability of mean-field… (More)

- Éric Gourdin, Jasmina Omic, Piet Van Mieghem
- 2011 8th International Workshop on the Design of…
- 2011

The effect of virus spreading in a telecommunication network, where a certain curing strategy is deployed, can be captured by epidemic models. In the N-intertwined model proposed and studied in [1], [2], the probability of each node to be infected depends on the curing and infection rate of its neighbors. In this paper, we consider the case where all… (More)

- Jasmina Omic, Robert E. Kooij, Piet Van Mieghem
- 2007 2nd Bio-Inspired Models of Network…
- 2007

In this paper we study the spread of viruses on the complete bi-partite graph K<sub>M,N</sub>. Using mean field theory we first show that the epidemic threshold for this type of graph satifies tau<sub>c</sub> = 1/radic(MN), hence, confirming previous results from literature. Next, we find an expression for the average number of infected nodes in the steady… (More)

- Jasmina Omic, Javier Martín Hernández, Piet Van Mieghem
- International Teletraffic Congress
- 2010

Communication networks are prone to virus and worms spreading and cascading failures. Recently, a number of social networking worms have spread over public Web sites. Another example is error propagation in routing tables, such as in BGP tables. The immunization and error curing applied to these scenarios are not fast enough. There have been studies on the… (More)

- Jasmina Omic
- 2010

- Jasmina Omic, Robert E. Kooij, Piet Van Mieghem
- Networking
- 2009

We examine the influence of heterogeneous curing rates for a SIS model, used for malware spreading on the Internet, information dissemination in unreliable networks, and propagation of failures in networks. The topology structures considered are the regular graph which represents the homogenous network structures and the complete bi-partite graph which… (More)

The recent widespread of the new Mexican flu and SARS show the high dependency on contemporary traveling patterns. The air transport network is recognized as an important channel of epidemic propagation for different diseases. In order to predict epidemic spreading and the influence of protection measures, a mathematical model of the Susceptible Infected… (More)