The Basic Reproduction Number of Infectious Diseases: Computation and Estimation Using Compartmental Epidemic Models
From MaRDI portal
Publication:2820307
DOI10.1007/978-90-481-2313-1_1zbMath1345.92136OpenAlexW184081997MaRDI QIDQ2820307
Publication date: 15 September 2016
Published in: Mathematical and Statistical Estimation Approaches in Epidemiology (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-90-481-2313-1_1
Related Items (7)
Comparative analysis of phenomenological growth models applied to epidemic outbreaks ⋮ Estimating the basic reproduction number from noisy daily data ⋮ Modeling and global sensitivity analysis of strategies to mitigate COVID-19 transmission on a structured college campus ⋮ Tajima's D and Site-Specific Nucleotide Frequency in a Population during an Infectious Disease Outbreak ⋮ Mathematical models: perspectives of mathematical modelers and public health professionals ⋮ Epidemic models with heterogeneous mixing and indirect transmission ⋮ Reconstruction analysis of honeybee colony collapse disorder modeling
Cites Work
- Unnamed Item
- Simulating the effect of quarantine on the spread of the 1918--19 flu in Central Canada
- Generality of the final size formula for an epidemic of a newly invading infectious disease
- On the definition and the computation of the basic reproduction ratio \(R_ 0\) in models for infectious diseases in heterogeneous populations
- Improving estimates of the basic reproductive ratio: Using both the mean and the dispersal of transition times
- Model-consistent estimation of the basic reproduction number from the incidence of an emerging infection
- Calculation of \({\mathcal R}_0\) for age-of-infection models
- The computation of \(R_ 0\) for discrete-time epidemic models with dynamic heterogeneity
- Asymptotically autonomous differential equations in the plane
- Backward bifurcation in epidemic control
- Backwards bifurcations and catastrophe in simple models of fatal diseases
- A simple vaccination model with multiple endemic states
- An intuitive formulation for the reproductive number for the spread of diseases in heterogeneous populations
- Separate roles of the latent and infectious periods in shaping the relation between the basic reproduction number and the intrinsic growth rate of infectious disease outbreaks
- Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
- Backward bifurcations in simple vaccination models
- A core group model for disease transmission
- A final size relation for epidemic models
- Estimating the reproduction number from the initial phase of the Spanish flu pandemic waves in Geneva, Switzerland
- The Kermack--McKendrick epidemic model revisited
- The Mathematics of Infectious Diseases
- Directly Transmitted Infections Diseases: Control by Vaccination
- How May Infection-Age-Dependent Infectivity Affect the Dynamics of HIV/AIDS?
- Contributions to the mathematical theory of epidemics. II. —The problem of endemicity
- Contributions to the mathematical theory of epidemics. III.—Further studies of the problem of endemicity
This page was built for publication: The Basic Reproduction Number of Infectious Diseases: Computation and Estimation Using Compartmental Epidemic Models