Access the full text.
Sign up today, get DeepDyve free for 14 days.
J. Ross (2011)
Invasion of infectious diseases in finite homogeneous populations.Journal of theoretical biology, 289
O. Diekmann, J. Heesterbeek (2000)
Mathematical Epidemiology of Infectious Diseases: Model Building, Analysis and Interpretation
L. Hotta (2010)
Bayesian Melding Estimation of a Stochastic SEIR ModelMathematical Population Studies, 17
P. O’Neill (2013)
Mathematical Tools for Understanding Infectious Disease Dynamics by O. Diekmann, H. Heesterbeek and T. Britton Princeton University Press, pp. 516, ISBN 978-0-691-15539-5Mathematical Medicine and Biology-a Journal of The Ima, 30
M. Roberts (2007)
The pluses and minuses of 0Journal of The Royal Society Interface, 4
J. Artalejo, M. Lopez-Herrero (2013)
On the Exact Measure of Disease Spread in Stochastic Epidemic ModelsBulletin of Mathematical Biology, 75
Nicolas Bacaër, M. Gomes (2009)
On the Final Size of Epidemics with SeasonalityBulletin of Mathematical Biology, 71
J. Artalejo, A. Economou, M. Lopez-Herrero (2013)
Stochastic epidemic models with random environment: quasi-stationarity, extinction and final sizeJournal of Mathematical Biology, 67
E. McBryde, A. Pettitt, D. McElwain (2007)
A stochastic mathematical model of methicillin resistant Staphylococcus aureus transmission in an intensive care unit: predicting the impact of interventions.Journal of theoretical biology, 245 3
Etienne Kouokam, P. Auger, Hassan Hbid, M. Tchuenté (2008)
Effect of the Number of Patches in a Multi-patch SIRS Model with Fast Migration on the Basic Reproduction RateActa Biotheoretica, 56
M. Keeling, P. Rohani (2007)
Modeling Infectious Diseases in Humans and Animals
B. Cooper, G. Medley, G. Scott (1999)
Preliminary analysis of the transmission dynamics of nosocomial infections: stochastic and management effects.The Journal of hospital infection, 43 2
J. Artalejo, A. Economou, M. Lopez-Herrero (2012)
Stochastic epidemic models revisited: analysis of some continuous performance measuresJournal of Biological Dynamics, 6
F. Chamchod, S. Ruan (2012)
Modeling the Spread of Methicillin-Resistant Staphylococcus aureus in Nursing Homes for ElderlyPLoS ONE, 7
L. Allen (2008)
An Introduction to Stochastic Epidemic Models
Suleyman Kondakci, Cemal Dinçer (2011)
Internet epidemiology: healthy, susceptible, infected, quarantined, and recoveredSecur. Commun. Networks, 4
L. Allen, P. Driessche (2013)
Relations between deterministic and stochastic thresholds for disease extinction in continuous- and discrete-time infectious disease models.Mathematical biosciences, 243 1
A. Pinto, M. Aguiar, J. Martins, N. Stollenwerk (2010)
Dynamics of Epidemiological ModelsActa Biotheoretica, 58
J. Artalejo, M. Lopez-Herrero (2010)
Quasi-stationary and ratio of expectations distributions: a comparative study.Journal of theoretical biology, 266 2
O. Diekmann (1996)
Mathematical Epidemiology of Infectious Diseases
Jing Li, Daniel Blakeley, Robert Smith (2011)
The Failure of R 0Computational and Mathematical Methods in Medicine, 2011
PG Ciarlet (1989)
Introduction to numerical linear algebra and optimization
O Diekmann, H Heesterbeek, T Britton (2013)
Mathematical tools for understnading infectious disease dynamics
M. Keeling, J. Ross (2008)
On methods for studying stochastic disease dynamicsJournal of The Royal Society Interface, 5
JR Artalejo, MJ Lopez-Herrero (2010)
Quasi-stationarity and ratio of expectations: a comparative studyJ Theor Biol, 266
DJ Daley, J Gani (1999)
Epidemic modelling: an introduction, Cambridge studies in mathematical biology 15
H. Andersson, T. Britton (2000)
Stochastic Epidemic Models and Their Statistical Analysis
O Diekmann, JAP Heesterbeek (2000)
Mathematical epidemiology of infectious diseases: model building, analysis and interpretation. Wiley series in mathematical and computational biology
J. Artalejo, A. Economou, M. Lopez-Herrero (2010)
On the number of recovered individuals in the SIS and SIR stochastic epidemic models.Mathematical biosciences, 228 1
Patricia Stone, H. Wilkinson-Herbots, V. Isham (2008)
A stochastic model for head lice infectionsJournal of Mathematical Biology, 56
We analyze the dynamics of nosocomial infections in intensive care units (ICUs) by using a Markov chain model. Since population size in the ICU is small, in contrast to previous studies, we concentrate on the analytical solution rather than using simulation. We investigate how changes in the system parameters affect to some important behavioral indicators of the spread of the pathogen. We also present an exact measure of the number of secondary cases of infection produced by one colonized patient.
Acta Biotheoretica – Springer Journals
Published: Oct 6, 2013
Read and print from thousands of top scholarly journals.
Already have an account? Log in
Bookmark this article. You can see your Bookmarks on your DeepDyve Library.
To save an article, log in first, or sign up for a DeepDyve account if you don’t already have one.
Copy and paste the desired citation format or use the link below to download a file formatted for EndNote
Access the full text.
Sign up today, get DeepDyve free for 14 days.
All DeepDyve websites use cookies to improve your online experience. They were placed on your computer when you launched this website. You can change your cookie settings through your browser.