## 4 Citations

### Basic reproduction number of epidemic models on sparse networks.

- Computer SciencePhysical review. E
- 2022

A four-compartment model that includes commonly used epidemic models to a Markov process on networks is extended and a canonical formula for R_{0} involving two probability values is derived, which is proposed as a standard formula for controlling infections that can only be transmitted through intimate contact.

### Serious role of non-quarantined COVID-19 patients for random walk simulations

- EconomicsScientific reports
- 2022

This work focuses on the infected individuals who are not checked by inspections, and shows that the total population size of Q-agents decrease in spite of increasing the number of tests, a paradox appears, when the ratio of Q exceeds a critical value.

### Serious role of non-quarantined COVID-19 patients for random walk simulations

- EconomicsScientific Reports
- 2022

The infectious disease (COVID-19) causes serious damages and outbreaks. A large number of infected people have been reported in the world. However, such a number only represents those who have been…

### The effect of men who have sex with men (MSM) on the spread of sexually transmitted infections

- MedicineTheoretical biology & medical modelling
- 2021

The analysis shows the impact of bisexual bridge on the spread of STIs does not outweigh their population size, and since MSM and mother-to-child transmission rates do not have a strong synergy effect when combined, complementary prevention measures are needed.

## References

SHOWING 1-10 OF 29 REFERENCES

### Epidemic dynamics and endemic states in complex networks.

- MathematicsPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2001

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.

- Computer SciencePhysical review letters
- 2003

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.

- Computer SciencePhysical review letters
- 2001

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

- EconomicsScientific Reports
- 2016

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.

### The type-reproduction number T in models for infectious disease control.

- BiologyMathematical biosciences
- 2007

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

- BiologyJournal of mathematical biology
- 2013

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

- MathematicsJournal of The Royal Society Interface
- 2009

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

- MedicineScience
- 2001

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

- Mathematics
- 2003

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

- 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.