Resistance to antibiotics: limit theorems for a stochastic SIS model structured by level of resistance

DOI10.1007/S00285-016-0996-2zbMath1352.92141OpenAlexW2334083622WikidataQ50677334 ScholiaQ50677334MaRDI QIDQ338324

Guy Thomas, Pierre-Yves Boëlle

Publication date: 4 November 2016

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://hal.sorbonne-universite.fr/hal-01303276/file/Antibioresistance_hal.pdf

zbMATH Keywords

Gaussian processweighted Sobolev spacelimit theoremsantibioticsbacterial resistancefluctuation processmeasure-valued Markov jump process

Mathematics Subject Classification ID

Epidemiology (92D30) Central limit and other weak theorems (60F05) Continuous-time Markov processes on general state spaces (60J25) Strong limit theorems (60F15) Interacting random processes; statistical mechanics type models; percolation theory (60K35)

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