# 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…

## 213 Citations

### Epidemic spreading on multilayer homogeneous evolving networks.

- Computer ScienceChaos
- 2019

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

- Computer SciencePhysica A: Statistical Mechanics and its Applications
- 2018

### Fundamentals of spreading processes in single and multilayer complex networks

- Computer SciencePhysics Reports
- 2018

### Epidemic spreading and control strategies in spatial modular network

- MathematicsAppl. Netw. Sci.
- 2020

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.

### Critical properties of the SIS model on the clustered homophilic network

- MathematicsPhysica A: Statistical Mechanics and its Applications
- 2020

### Pair quenched mean-field approach to epidemic spreading in multiplex networks

- Computer ScienceApplied Mathematical Modelling
- 2018

### Optimizing spreading dynamics in interconnected networks

- Computer ScienceChaos
- 2019

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.

## References

SHOWING 1-10 OF 225 REFERENCES

### Epidemic processes in complex networks

- BiologyArXiv
- 2014

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.

### Predicting epidemic thresholds on complex networks: limitations of mean-field approaches.

- Computer ScienceJournal of theoretical biology
- 2011

### Generalized Epidemic Mean-Field Model for Spreading Processes Over Multilayer Complex Networks

- Computer Science, MathematicsIEEE/ACM Transactions on Networking
- 2013

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

- Computer SciencePhysical review. E, Statistical, nonlinear, and soft matter physics
- 2014

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.

### Dynamical patterns of epidemic outbreaks in complex heterogeneous networks.

- Computer ScienceJournal of theoretical biology
- 2005

### Asymmetrically interacting spreading dynamics on complex layered networks

- Computer ScienceScientific reports
- 2014

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.

- MathematicsPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2006

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.

- BiologyPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2009

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.

### Spread of epidemic disease on networks.

- MathematicsPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2002

This paper shows that a large class of standard epidemiological models, the so-called susceptible/infective/removed (SIR) models can be solved exactly on a wide variety of networks.

### On the dynamical interplay between awareness and epidemic spreading in multiplex networks

- MathematicsPhysical review letters
- 2013

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.