The deterministic SIS epidemic model in a Markovian random environment
type: Item
instance of: scholarly article
title: The deterministic SIS epidemic model in a Markovian random environment
zbMATH Open document ID: 1346.92069
author: Antonis Economou
author: M. J. Lopez-Herrero
published in: Journal of Mathematical Biology
publication date: 2016-08-24T00:00:00Z
review text: This paper studies a deterministic SIS epidemic spreading model with infection and recovery rates related to a random environment. Based on the continuous-time Markov chain theory, the authors derive a system of ODEs that govern the steady-state distribution of the number of infectives. Two special cases of alternating environment and slowly/rapidly changing environment are deeply looked into. Some numerical experiments are performed to demonstrate the obtained results. In particular, the proposed framework is potentially applicable for epidemic spreading involving seasonality effects and environmental influences.
reviewed by: Yilun Shang
Mathematics Subject Classification ID: 92D30
Mathematics Subject Classification ID: 34F05
Mathematics Subject Classification ID: 60J28
zbMATH DE Number: 6619150
zbMATH Keywords: epidemic model
zbMATH Keywords: random environment
zbMATH Keywords: Markov chain
zbMATH Keywords: color noise
zbMATH Keywords: steady-state distribution
Wikidata QID: Q40931645
MaRDI profile type: Publication
full work available at URL: s00285-015-0943-7
OpenAlex ID: W1958756604
cites work: The maximum number of infected individuals in SIS epidemic models: computational techniques and quasi-stationary distributions
cites work: On the number of recovered individuals in the \(SIS\) and \(SIR\) stochastic epidemic models
cites work: Stochastic epidemic models with random environment: quasi-stationarity, extinction and final size
cites work: On linear birth-and-death processes in a random environment
cites work: On the basic reproduction number in a random environment
cites work: The Early Stage Behaviour of a Stochastic SIR Epidemic with Term-Time Forcing
cites work: Q3219268
cites work: The SIS epidemic model with Markovian switching
cites work: The long-run distribution of births across environments under environmental stochasticity and its use in the calculation of unconditional life-history parameters
cites work: Qualitative analyses of communicable disease models
cites work: Q5425001
cites work: Q3654862
cites work: A simple mathematical model for genetic effects in pneumococcal carriage and transmission
cites work: Q4864763
cites work: Evolution of predator-prey systems described by a Lotka-Volterra equation under random environment
DOI: 10.1007/S00285-015-0943-7
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description: scientific article; zbMATH DE number 6619150