On time-discretized versions of the stochastic SIS epidemic model: a comparative analysis
DOI10.1007/s00285-021-01598-yzbMath1470.92300OpenAlexW3149340489WikidataQ113905535 ScholiaQ113905535MaRDI QIDQ2022086
Martín López-García, Maria Teresa Rodríguez-Bernal, Antonio Gómez-Corral
Publication date: 27 April 2021
Published in: Journal of Mathematical Biology (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00285-021-01598-y
Hellinger distanceextreme valuesSIS epidemic modelCayley-Hamilton approachfinite birth-death process
Epidemiology (92D30) Applications of Markov chains and discrete-time Markov processes on general state spaces (social mobility, learning theory, industrial processes, etc.) (60J20)
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Cites Work
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- A comparison of continuous and discrete-time West Nile virus models
- Discrete epidemic models with arbitrary stage distributions and applications to disease control
- Stochastic descriptors to study the fate and potential of naive T cell clonotypes in the periphery
- Extinction and quasi-stationarity in the stochastic logistic SIS model.
- Extinction times and size of the surviving species in a two-species competition process
- A discrete-time model with vaccination for a measles epidemic
- Transient probability functions of finite birth-death processes with catastrophes
- The relationship between real-time and discrete-generation models of epidemic spread
- Discrete epidemic models
- Permanence of a discrete SIRS epidemic model with time delays
- Continuous-time Markov chains. An applications-oriented approach
- The computation of \(R_ 0\) for discrete-time epidemic models with dynamic heterogeneity
- Some discrete-time SI, SIR, and SIS epidemic models
- A stochastic SIS epidemic model with heterogeneous contacts
- The generalized discrete-time epidemic model with immunity: A synthesis
- Discrete-time S-I-S models with complex dynamics.
- Stability analysis in a class of discrete SIRS epidemic models
- Global stability for a class of discrete SIR epidemic models
- Comparison of deterministic and stochastic SIS and SIR models in discrete time
- Extreme values in SIR epidemic models with two strains and cross-immunity
- Disease extinction versus persistence in discrete-time epidemic models
- Discrete stochastic metapopulation model with arbitrarily distributed infectious period
- Global stability of the endemic equilibrium of a discrete SIR epidemic model
- Relations between deterministic and stochastic thresholds for disease extinction in continuous- and discrete-time infectious disease models
- A discrete epidemic model for SARS transmission and control in China
- On the asymptotic behavior of the stochastic and deterministic models of an epidemic
- Reproduction numbers for discrete-time epidemic models with arbitrary stage distributions
- Probability and Stochastics
- DISCRETE TIME SI AND SIS EPIDEMIC MODELS WITH VERTICAL TRANSMISSION
- ON THEORETICAL MODELS FOR COMPETITIVE AND PREDATORY BIOLOGICAL SYSTEMS
- Stochastic epidemic models revisited: analysis of some continuous performance measures
- The basic reproduction number in some discrete-time epidemic models
- An Introduction to Stochastic Epidemic Models
- On the distribution of the time to extinction in the stochastic logistic population model
- Introduction to Matrix Analytic Methods in Stochastic Modeling
- Nineteen Dubious Ways to Compute the Exponential of a Matrix, Twenty-Five Years Later
- Perturbation analysis in finite LD‐QBD processes and applications to epidemic models
- MAXIMUM POPULATION SIZES IN HOST–PARASITOID MODELS
- Ergodic Properties of Continuous-Time Markov Processes and Their Discrete Skeletons
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