Stability and bifurcation analysis of a two-patch SIS model on nosocomial infections

Xiaomei Feng; Lili Liu; Sanyi Tang; Xi Huo

doi:10.1016/j.aml.2019.106097

Stability and bifurcation analysis of a two-patch SIS model on nosocomial infections

Xiaomei Feng, Lili Liu, Sanyi Tang, Xi Huo

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We use a two-patch model to address the spread of antibiotic-resistant bacteria (ARB) within and between hospitals. Specifically, we consider patients being referred and transferred from a small community hospital with inappropriate antibiotic use to a large teaching hospital with good antibiotic treatment. Our analyses show that screening and decolonizing patients transferred between hospitals and avoiding misuse of antibiotics are both crucial factors to contain nosocomial infections.

Original language	English (US)
Article number	106097
Journal	Applied Mathematics Letters
Volume	102
DOIs	https://doi.org/10.1016/j.aml.2019.106097
State	Published - Apr 2020

Keywords

Antibiotic resistance
Backward bifurcation
Global stability
Patch model

ASJC Scopus subject areas

Applied Mathematics

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10.1016/j.aml.2019.106097

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title = "Stability and bifurcation analysis of a two-patch SIS model on nosocomial infections",

abstract = "We use a two-patch model to address the spread of antibiotic-resistant bacteria (ARB) within and between hospitals. Specifically, we consider patients being referred and transferred from a small community hospital with inappropriate antibiotic use to a large teaching hospital with good antibiotic treatment. Our analyses show that screening and decolonizing patients transferred between hospitals and avoiding misuse of antibiotics are both crucial factors to contain nosocomial infections.",

keywords = "Antibiotic resistance, Backward bifurcation, Global stability, Patch model",

author = "Xiaomei Feng and Lili Liu and Sanyi Tang and Xi Huo",

note = "Funding Information: The research was supported by China Postdoctoral Science Foundation [ 2019M653529 ], the National Natural Science Foundation of China [ 11501498 , 61772017 ], the Natural Science Foundation of Shanxi Province [ 201801D221035 ], Scientific and Technological Innovation Programs of Higher Education Institutions in Shanxi (STIP) [ 2019L0861 , 2019L0067 ], start-up grant from Yuncheng University [ YQ-2018016 ], and the Provost Research Award of University of Miami . ",

year = "2020",

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doi = "10.1016/j.aml.2019.106097",

language = "English (US)",

volume = "102",

journal = "Applied Mathematics Letters",

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publisher = "Elsevier Limited",

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T1 - Stability and bifurcation analysis of a two-patch SIS model on nosocomial infections

AU - Feng, Xiaomei

AU - Liu, Lili

AU - Tang, Sanyi

AU - Huo, Xi

N1 - Funding Information: The research was supported by China Postdoctoral Science Foundation [ 2019M653529 ], the National Natural Science Foundation of China [ 11501498 , 61772017 ], the Natural Science Foundation of Shanxi Province [ 201801D221035 ], Scientific and Technological Innovation Programs of Higher Education Institutions in Shanxi (STIP) [ 2019L0861 , 2019L0067 ], start-up grant from Yuncheng University [ YQ-2018016 ], and the Provost Research Award of University of Miami .

PY - 2020/4

Y1 - 2020/4

N2 - We use a two-patch model to address the spread of antibiotic-resistant bacteria (ARB) within and between hospitals. Specifically, we consider patients being referred and transferred from a small community hospital with inappropriate antibiotic use to a large teaching hospital with good antibiotic treatment. Our analyses show that screening and decolonizing patients transferred between hospitals and avoiding misuse of antibiotics are both crucial factors to contain nosocomial infections.

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KW - Antibiotic resistance

KW - Backward bifurcation

KW - Global stability

KW - Patch model

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