A stochastic SIR model on a graph with epidemiological and population dynamics occurring over the same time scale
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Publication:2311894
DOI10.1007/s00285-019-01349-0zbMath1417.92192arXiv1805.05034OpenAlexW2963601229WikidataQ92773925 ScholiaQ92773925MaRDI QIDQ2311894
Publication date: 4 July 2019
Published in: Journal of Mathematical Biology (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1805.05034
basic reproduction numberendemicitycontinuous-time multitype branching processesepidemic and demography over the same time scaleepidemic extinction timeepidemic total sizemajor outbreak probabilitymarkovian processmultitype SIR modelreal network
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Cites Work
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- The basic reproduction number and the probability of extinction for a dynamic epidemic model
- Stochastic epidemics in growing populations
- Stochastic epidemic models: a survey
- Stochastic epidemics: The probability of extinction of an infectious disease at the end of a major outbreak
- Stochastic epidemic models and their statistical analysis
- SIR model on a dynamical network and the endemic state of an infectious disease
- Epidemics of random walkers in metapopulation model for complete, cycle, and star graphs
- Stochastic epidemics: Major outbreaks and the duration of the endemic period
- Quasi-stationary distributions for discrete-state models
- Stationary distribution and extinction of a stochastic SIR model with nonlinear perturbation
- Global stability of extended multi-group SIR epidemic models with patches through migration and cross patch infection
- Network epidemic models with two levels of mixing
- Limit theorems for decomposable multi-dimensional Galton-Watson processes
- Strong approximations for mobile population epidemic models
- Stability of Markovian processes III: Foster–Lyapunov criteria for continuous-time processes
- Multi-patch deterministic and stochastic models for wildlife diseases
- The threshold behaviour of epidemic models
- On the Time to Extinction in Recurrent Epidemics
- The final size and severity of a generalised stochastic multitype epidemic model
- Large deviation principle for epidemic models
- The final outcome of an epidemic model with several different types of infective in a large population
- Strong approximations for some open population epidemic models
- Chapter 1 Stochastic Epidemic Models
- Large Deviations for Infectious Diseases Models
- Some Results on Multitype Continuous Time Markov Branching Processes
- SOME LIMIT THEOREMS FOR EVANESCENT PROCESSES
- Passage-time generating functions for continuous-time finite Markov chains
- Stochastic epidemics in dynamic populations: Quasi-stationarity and extinction
