The deterministic SIS epidemic model in a Markovian random environment
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Publication:304207
DOI10.1007/s00285-015-0943-7zbMath1346.92069OpenAlexW1958756604WikidataQ40931645 ScholiaQ40931645MaRDI QIDQ304207
Maria Jesus Lopez-Herrero, Antonis Economou
Publication date: 24 August 2016
Published in: Journal of Mathematical Biology (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00285-015-0943-7
Epidemiology (92D30) Ordinary differential equations and systems with randomness (34F05) Applications of continuous-time Markov processes on discrete state spaces (60J28)
Related Items (6)
Numerical analysis of split-step \(\theta\) methods with truncated Wiener process for a stochastic SIS epidemic model ⋮ Cross-infection in epidemics spread by carriers ⋮ Positive recurrence and extinction of hybrid stochastic SIRS model with nonlinear incidence rate ⋮ N-intertwined SIS epidemic model with Markovian switching ⋮ Dynamics of an SIR epidemic model with varying population sizes and regime switching in a two patch setting ⋮ Dynamical behavior of stochastic SIRS model with two different incidence rates and Markovian switching
Cites Work
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- Stochastic epidemic models with random environment: quasi-stationarity, extinction and final size
- The SIS epidemic model with Markovian switching
- On the number of recovered individuals in the \(SIS\) and \(SIR\) stochastic epidemic models
- A simple mathematical model for genetic effects in pneumococcal carriage and transmission
- The maximum number of infected individuals in SIS epidemic models: computational techniques and quasi-stationary distributions
- Evolution of predator-prey systems described by a Lotka-Volterra equation under random environment
- Qualitative analyses of communicable disease models
- On the basic reproduction number in a random environment
- The long-run distribution of births across environments under environmental stochasticity and its use in the calculation of unconditional life-history parameters
- On linear birth-and-death processes in a random environment
- The Early Stage Behaviour of a Stochastic SIR Epidemic with Term-Time Forcing
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