| Literature DB >> 20600160 |
Hong-Rui Sun1, Xinxin Lu, Shigui Ruan.
Abstract
This paper is concerned with the qualitative analysis of two models [S. Bonhoeffer, M. Lipsitch, B.R. Levin, Evaluating treatment protocols to prevent antibiotic resistance, Proc. Natl. Acad. Sci. USA 94 (1997) 12106] for different treatment protocols to prevent antibiotic resistance. Detailed qualitative analysis about the local or global stability of the equilibria of both models is carried out in term of the basic reproduction number R(0). For the model with a single antibiotic therapy, we show that if R(0)<1, then the disease-free equilibrium is globally asymptotically stable; if R(0)>1, then the disease-endemic equilibrium is globally asymptotically stable. For the model with multiple antibiotic therapies, stabilities of various equilibria are analyzed and combining treatment is shown better than cycling treatment. Numerical simulations are performed to show that the dynamical properties depend intimately upon the parameters. Copyright 2010 Elsevier Inc. All rights reserved.Entities:
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Year: 2010 PMID： 20600160 PMCID： PMC2925136 DOI： 10.1016/j.mbs.2010.06.002
Source DB: PubMed Journal: Math Biosci ISSN： 0025-5564 Impact factor: 2.144