Epidemics in large complete networks is well established. In contrast, we consider epidemics in non-complete networks. We establish the fluid limit macroscopic dynamics of a multi-virus spread over a multipartite network as the number of nodes at each partite or island grows large. The virus spread follows a peer-to-peer random rule of infection in line with the Harris contact process (refer to [1]). The model conforms to an SIS (susceptible-infected-susceptible) type, where a node is either infected or it is healthy and prone to be infected. The local (at node level) random infection model induces the emergence of structured dynamics at the macroscale. Namely, we prove that, as the multipartite network grows large, the normalized Markov ju...
Acknowledgments: This work was financed by the Labex B\'ezout (ANR-10-LABX-58) and the COCOON grant ...
Epidemic models are increasingly applied in real-world networks to understand various kinds of diffu...
Infectious diseases typically spread over a contact network with millions of individuals, whose shee...
<p>Epidemics in large complete networks is well established. In contrast, we consider epidemics in n...
<p>Single virus epidemics over complete networks are widely explored in the literature as the fracti...
This Thesis studies bi-virus epidemics over large-scale networks. We set the rules of infection at t...
Since a real epidemic process is not necessarily Markovian, the epidemic threshold obtained under th...
We consider a Markovian SIR-type (Susceptible → Infected → Recovered) stochastic epidemic process wi...
<div><p>Understanding models which represent the invasion of network-based systems by infectious age...
We study by analytical methods and large scale simulations a dynamical model for the spreading of ep...
Local interactions on a graph will lead to global dynamic behaviour. In this thesis we focus on two ...
Epidemics and cascading failure are extensively investigated. Traditionally, they are independently ...
In this paper we extend previous work deriving dynamic equations governing infectious disease spread...
In this paper we study the global dynamics of epidemic spread over complex networks for both discret...
Understanding models which represent the invasion of network-based systems by infectious agents can ...
Acknowledgments: This work was financed by the Labex B\'ezout (ANR-10-LABX-58) and the COCOON grant ...
Epidemic models are increasingly applied in real-world networks to understand various kinds of diffu...
Infectious diseases typically spread over a contact network with millions of individuals, whose shee...
<p>Epidemics in large complete networks is well established. In contrast, we consider epidemics in n...
<p>Single virus epidemics over complete networks are widely explored in the literature as the fracti...
This Thesis studies bi-virus epidemics over large-scale networks. We set the rules of infection at t...
Since a real epidemic process is not necessarily Markovian, the epidemic threshold obtained under th...
We consider a Markovian SIR-type (Susceptible → Infected → Recovered) stochastic epidemic process wi...
<div><p>Understanding models which represent the invasion of network-based systems by infectious age...
We study by analytical methods and large scale simulations a dynamical model for the spreading of ep...
Local interactions on a graph will lead to global dynamic behaviour. In this thesis we focus on two ...
Epidemics and cascading failure are extensively investigated. Traditionally, they are independently ...
In this paper we extend previous work deriving dynamic equations governing infectious disease spread...
In this paper we study the global dynamics of epidemic spread over complex networks for both discret...
Understanding models which represent the invasion of network-based systems by infectious agents can ...
Acknowledgments: This work was financed by the Labex B\'ezout (ANR-10-LABX-58) and the COCOON grant ...
Epidemic models are increasingly applied in real-world networks to understand various kinds of diffu...
Infectious diseases typically spread over a contact network with millions of individuals, whose shee...