Qualitative analysis of models with different treatment protocols to prevent antibiotic resistance

DOI10.1016/J.MBS.2010.06.002zbMath1194.92045OpenAlexW2104572935WikidataQ42529419 ScholiaQ42529419MaRDI QIDQ991530

Xinxin Lu, Hong-Rui Sun, Shigui Ruan

Publication date: 7 September 2010

Published in: Mathematical Biosciences (Search for Journal in Brave)

Full work available at URL: http://europepmc.org/articles/pmc2925136

zbMATH Keywords

stabilityequilibriumbasic reproduction numbermathematical modelantibiotic resistance

Mathematics Subject Classification ID

Medical applications (general) (92C50) Global stability of solutions to ordinary differential equations (34D23) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (9)

Transmission dynamics of resistant bacteria in a predator-prey system ⋮ MATHEMATICAL MODELING OF BACTERIAL RESISTANCE TO ANTIBIOTICS BY MUTATIONS AND PLASMIDS ⋮ Extinction, persistence and density function analysis of a stochastic two-strain disease model with drug resistance mutation ⋮ A competitive model in a chemostat with nutrient recycling and antibiotic treatment ⋮ Modeling the role of altruism of antibiotic-resistant bacteria ⋮ A nosocomial-pathogens-infections model with impulsive antibiotics treatment on multiple bacteria ⋮ Modeling antimicrobial cycling and mixing: differences arising from an individual-based versus a population-based perspective ⋮ MODELING ANTIBIOTIC RESISTANCE IN PREGNANT WOMAN AND FETUS ⋮ Modeling basic aspects of bacterial resistance of Mycobacterium tuberculosis to antibiotics

Cites Work

• Unnamed Item
• Unnamed Item
• A competitive exclusion principle for pathogen virulence
• On the definition and the computation of the basic reproduction ratio \(R_ 0\) in models for infectious diseases in heterogeneous populations
• Modeling antibiotic resistance in hospitals: the impact of minimizing treatment duration
• Analysis of a disease transmission model in a population with varying size
• Relative effects of barrier precautions and topical antibiotics on nosocomial bacterial transmission: results of multi-compartment models
• Mathematical Models in Population Biology and Epidemiology
• Competition of hospital-acquired and community-acquired methicillin-resistantStaphylococcus aureusstrains in hospitals
• Simple models of antibiotic cycling

This page was built for publication: Qualitative analysis of models with different treatment protocols to prevent antibiotic resistance