Unification of theoretical approaches for epidemic spreading on complex networks

@article{Wang2017UnificationOT,
  title={Unification of theoretical approaches for epidemic spreading on complex networks},
  author={Wei Wang and Ming Tang and H. Eugene Stanley and Lidia A. Braunstein},
  journal={Reports on Progress in Physics},
  year={2017},
  volume={80}
}
Models of epidemic spreading on complex networks have attracted great attention among researchers in physics, mathematics, and epidemiology due to their success in predicting and controlling scenarios of epidemic spreading in real-world scenarios. To understand the interplay between epidemic spreading and the topology of a contact network, several outstanding theoretical approaches have been developed. An accurate theoretical approach describing the spreading dynamics must take both the network… 

Figures and Tables from this paper

Coevolution spreading in complex networks
Epidemic spreading on multilayer homogeneous evolving networks.
TLDR
The interesting discovery is that increasing the epidemic threshold of a single network layer is conducive to mitigating the spreading of an epidemic, and it is found that the initial average degree of a network and the evolutionary parameters determine the changes in the epidemic thresholds and the spreading process.
Predicting epidemic threshold of correlated networks: A comparison of methods
Epidemic spreading and control strategies in spatial modular network
TLDR
The susceptible-infected-recovered model is applied and it is shown that while control strategies can successfully control the disease, early actions are essentials to prevent the disease global spread.
Optimizing spreading dynamics in interconnected networks
TLDR
This study investigates the problem of maximizing the stationary spreading prevalence in interconnected networks using the susceptible-infected-susceptible model and presents a theoretical analysis based on the discrete-time Markov chain approach to derive the approximate optimal strategy.
Contagion dynamics in multilayer networks with community structure
TLDR
This work presents a comprehensive epidemic spreading model in multilayer networks with community structure that is conductive to controlling outbreak of epidemics by reducing the internal average degree and interconnected links in influential communities.
...
...

References

SHOWING 1-10 OF 464 REFERENCES
Epidemic processes in complex networks
TLDR
A coherent and comprehensive review of the vast research activity concerning epidemic processes is presented, detailing the successful theoretical approaches as well as making their limits and assumptions clear.
Generalized Epidemic Mean-Field Model for Spreading Processes Over Multilayer Complex Networks
TLDR
A detailed description of the stochastic process at the agent level where the agents interact through different layers, each represented by a graph is provided, including spreading of virus and information in computer networks and spreading of multiple pathogens in a host population.
Epidemic spreading on complex networks with general degree and weight distributions
TLDR
A novel edge-weight-based compartmental approach is developed to estimate the epidemic threshold and epidemic size on networks with general degree and weight distributions, and a remarkable agreement with numerics is obtained.
Asymmetrically interacting spreading dynamics on complex layered networks
TLDR
A physical theory is developed to understand the intricate interplay between the two types of spreading dynamics, each occurring on its own layer, by focusing on the two fundamental quantities underlying any spreading process: epidemic threshold and the final infection ratio.
Epidemic variability in complex networks.
TLDR
A susceptible-infected model is used to simulate the disease spreading at short times in homogeneous and in scale-free networks and it is demonstrated that the existence of even long paths reduces the average infection time.
Time evolution of epidemic disease on finite and infinite networks.
TLDR
This work offers an analytical framework, that incorporates both the complexity of contact network structure and the time progression of disease spread, and demonstrates that this framework is equally effective on finite- and "infinite"-size networks.
On the dynamical interplay between awareness and epidemic spreading in multiplex networks
TLDR
The analysis of the interrelation between two processes accounting for the spreading of an epidemic, and the information awareness to prevent its infection, on top of multiplex networks reveals the phase diagram of the incidence of the epidemics and allows the evolution of the epidemic threshold depending on the topological structure of the multiplex and the inter correlation with the awareness process.
Competing epidemics on complex networks
  • B. Karrer, M. Newman
  • Economics
    Physical review. E, Statistical, nonlinear, and soft matter physics
  • 2011
TLDR
A model of two competing diseases spreading over the same network at the same time, where infection with either disease gives an individual subsequent immunity to both, is examined.
...
...