Type reproduction number for epidemic models on heterogeneous networks

@article{Morita2020TypeRN,
  title={Type reproduction number for epidemic models on heterogeneous networks},
  author={Satoru Morita},
  journal={Physica A: Statistical Mechanics and its Applications},
  year={2020}
}
  • S. Morita
  • Published 5 June 2020
  • Biology
  • Physica A: Statistical Mechanics and its Applications

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References

SHOWING 1-10 OF 29 REFERENCES

Epidemic dynamics and endemic states in complex networks.

A dynamical model for the spreading of epidemics in complex networks that implies that scale-free networks are prone to the spreading and the persistence of infections whatever spreading rate the epidemic agents might possess.

Absence of epidemic threshold in scale-free networks with degree correlations.

This work provides for the susceptible-infected-susceptible model an exact result showing that a scale-free degree distribution with diverging second moment is a sufficient condition to have null epidemic threshold in unstructured networks with either assortative or disassortative mixing.

Epidemic spreading in scale-free networks.

A dynamical model for the spreading of infections on scale-free networks is defined, finding the absence of an epidemic threshold and its associated critical behavior and this new epidemiological framework rationalizes data of computer viruses and could help in the understanding of other spreading phenomena on communication and social networks.

Six Susceptible-Infected-Susceptible Models on Scale-free Networks

This paper considers six models with different contact and propagation mechanisms, which include models studied so far, but are apt to be confused, and analyzes them by degree-based mean-field theory.

Extending the type reproduction number to infectious disease control targeting contacts between types

A new quantity called the target reproduction number is defined to measure control strategies for infectious diseases with multiple host types such as waterborne, vector-borne and zoonotic diseases.

The construction of next-generation matrices for compartmental epidemic models

An elementary but complete proof that ℛ0 defined as the dominant eigenvalue of the NGM for compartmental systems and the Malthusian parameter r, the real-time exponential growth rate in the early phase of an outbreak, are connected by the properties.

How Viruses Spread Among Computers and People

In their Perspective, Lloyd and May discuss the similarities and differences between the dynamics of computer viruses and infections of human and other populations.

Epidemic spreading in complex networks with degree correlations

We review the behavior of epidemic spreading on complex networks in which there are explicit correlations among the degrees of connected vertices.

Epidemic processes in complex networks

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.