# Large epidemic thresholds emerge in heterogeneous networks of heterogeneous nodes

@article{Yang2015LargeET, title={Large epidemic thresholds emerge in heterogeneous networks of heterogeneous nodes}, author={Hui Yang and Ming Tang and Thilo Gross}, journal={Scientific Reports}, year={2015}, volume={5} }

One of the famous results of network science states that networks with heterogeneous connectivity are more susceptible to epidemic spreading than their more homogeneous counterparts. In particular, in networks of identical nodes it has been shown that network heterogeneity, i.e. a broad degree distribution, can lower the epidemic threshold at which epidemics can invade the system. Network heterogeneity can thus allow diseases with lower transmission probabilities to persist and spread. However… Expand

#### 44 Citations

Dynamics of epidemic diseases on a growing adaptive network

- Computer Science, Medicine
- Scientific reports
- 2017

This work analyzes an adaptive network where the degree distribution is not independent of epidemics but is shaped through disease-induced dynamics and mortality in a complex interplay, suggesting that in this system in the thermodynamic limit no epidemic thresholds exist, while the interplay between network growth and epidemic spreading leads to exponential networks. Expand

How heterogeneous susceptibility and recovery rates affect the spread of epidemics on networks

- Geography, Medicine
- Infectious Disease Modelling
- 2017

It is found that the basic reproductive number depends on the mean of distributions of susceptibility and disease course when both of them are independent, and increasing the variance of susceptibility may block the spread of epidemics, while the corresponding increase in the variation of disease course has little effect on the final epidemic size. Expand

Epidemic threshold of node-weighted susceptible-infected-susceptible models on networks

- Mathematics
- 2016

In this paper, we investigate the epidemic spreading on random and regular networks through a pairwise-type model with a general transmission rate to evaluate the influence of the node-weight… Expand

The Impact of Heterogeneity and Awareness in Modeling Epidemic Spreading on Multiplex Networks

- Geography, Medicine
- Scientific reports
- 2016

This work proposes a novel model of the coevolution of epidemic and awareness spreading processes on a multiplex network, also introducing a preventive isolation strategy, to evaluate and quantify the joint impact of heterogeneity and awareness, under different socioeconomic conditions. Expand

Suppression of epidemic spreading in time-varying multiplex networks

- Computer Science
- Applied Mathematical Modelling
- 2019

A remarkable phenomenon is that an enhanced positive correlation between the activities in the two layers can greatly suppress the spreading dynamics, suggesting a practical and effective approach to controlling epidemics in the real world. Expand

Epidemic threshold for the SIRS model on the networks

- Mathematics
- 2019

Abstract We study the phase transition from the persistence phase to the extinction phase for the SIRS (susceptible/ infected/ refractory/ susceptible) model of diseases spreading on the networks. We… Expand

Information Spread and Topic Diffusion in Heterogeneous Information Networks

- Computer Science, Medicine
- Scientific Reports
- 2018

This manuscript model information diffusion in heterogeneous information networks, and uses interactions of different meta-paths to predict the diffusion process, and considers linear threshold and independent cascade models. Expand

Impact of network overlapping on dynamical interplay between information and epidemics

- Computer Science
- 2016 12th International Conference on Natural Computation, Fuzzy Systems and Knowledge Discovery (ICNC-FSKD)
- 2016

A new model to study the interaction between epidemics and information spreading in multiplex network, in which these two diffusive processes affect each other, is introduced and it is found that overlapping doesn't just amplify the effect of information. Expand

Explosive spreading on complex networks: the role of synergy

- Physics, Computer Science
- Physical review. E
- 2017

A model to incorporate local synergistic effect into the classical susceptible-infected-susceptible process, in which the probability for a susceptible node to become infected through an infected neighbor is enhanced when the neighborhood of the latter contains a number of infected nodes, is articulate. Expand

Network inoculation: Heteroclinics and phase transitions in an epidemic model

- Computer Science, Mathematics
- Chaos
- 2016

A detailed analysis of a previously proposed model that combines heterogeneity in the individuals with adaptive rewiring of the network structure in response to a disease is presented, showing that in this model, qualitative changes in the dynamics occur in two phase transitions. Expand

#### References

SHOWING 1-10 OF 89 REFERENCES

Epidemic outbreaks in complex heterogeneous networks

- Computer Science, Physics
- 2002

The large connectivity fluctuations usually found in these networks strengthen considerably the incidence of epidemic outbreaks and defines a new epidemiological framework characterized by a highly heterogeneous response of the system to the introduction of infected individuals with different connectivity. Expand

Beyond network structure: How heterogeneous susceptibility modulates the spread of epidemics

- Computer Science, Medicine
- Scientific reports
- 2014

These results show that the failure to include differential susceptibility to epidemic models can lead to a systematic over/under estimation of fundamental epidemic parameters when the structure of the networks is not independent from the susceptibility of the nodes or when there are correlations between the susceptible individuals. Expand

Absence of epidemic thresholds in a growing adaptive network

- Mathematics, Physics
- ArXiv
- 2012

It is shown that increased infectiousness increases the prevalence of the disease and simultaneously causes a transition from scale-free to exponential topology, which results in a network that exhibits no epidemic threshold in the thermodynamic limit. Expand

Epidemic spreading on complex networks with general degree and weight distributions

- Mathematics, Medicine
- Physical 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. Expand

Thresholds for epidemic spreading in networks

- Mathematics, Physics
- Physical review letters
- 2010

It is conjecture that on quenched scale-rich networks the threshold of generic epidemic models is vanishing or finite depending on the presence or absence of a steady state. Expand

Suppression of epidemic spreading in complex networks by local information based behavioral responses

- Computer Science, Medicine
- Chaos
- 2014

This work derives a theoretical formula for the epidemic threshold and provides numerical verification, and finds that the hub nodes play the role of “double-edged sword” in that they can either suppress or promote outbreak, depending on their responses to the epidemic, providing additional support for the idea that these nodes are key to controlling epidemic spreading in complex networks. Expand

Epidemic thresholds in dynamic contact networks

- Biology, Medicine
- Journal of The Royal Society Interface
- 2008

It is shown that social mixing fundamentally changes the epidemiological landscape and, consequently, that static network approximations of dynamic networks can be inadequate. Expand

Epidemic spreading in real networks: an eigenvalue viewpoint

- Computer Science
- 22nd International Symposium on Reliable Distributed Systems, 2003. Proceedings.
- 2003

A general epidemic threshold condition that applies to arbitrary graphs is proposed and it is proved that, under reasonable approximations, the epidemic threshold for a network is closely related to the largest eigenvalue of its adjacency matrix. Expand

Heterogeneity in susceptible–infected–removed (SIR) epidemics on lattices

- Mathematics, Medicine
- Journal of The Royal Society Interface
- 2010

It is shown that the percolation paradigm can be extended to the heterogeneous case, and the resilience of the system to invasion can be suitably described by two control parameters, the mean and variance of the transmissibility. Expand

Bounding the Size and Probability of Epidemics on Networks

- Biology, Mathematics
- Journal of Applied Probability
- 2008

For an infectious disease spreading along the edges of a network which may have significant clustering, the out-transmissibility of a node is defined to be the marginal probability that it would infect a randomly chosen neighbor given its infectiousness and the distribution of susceptibility. Expand