Abstract and Applied Analysis

Antimicrobial Resistance within Host: A Population Dynamics View

Chunji Huang and Aijun Fan

Full-text: Open access


To study the relationship between antimicrobial resistance and the concentration of antibiotics, a competitive population dynamical model is proposed between the susceptible strain and the resistant strain with antibiotic exposure. The strict mathematical analysis is performed, and the results indicate that long-term high strength antibiotic treatment and prevention can induce the extinction of susceptible strain. Thus, the prescribed dose of antibiotics must be strictly controlled during the treatment and prevention of the infections in clinics.

Article information

Abstr. Appl. Anal., Volume 2014, Special Issue (2013), Article ID 173952, 5 pages.

First available in Project Euclid: 6 October 2014

Permanent link to this document

Digital Object Identifier

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier


Huang, Chunji; Fan, Aijun. Antimicrobial Resistance within Host: A Population Dynamics View. Abstr. Appl. Anal. 2014, Special Issue (2013), Article ID 173952, 5 pages. doi:10.1155/2014/173952. https://projecteuclid.org/euclid.aaa/1412607564

Export citation


  • F. Godlee, “Antimicrobial resistance-an unfolding catastrophe,” British Medical Journal, vol. 346, article f1663, 2013.
  • D. Dubnau and R. Losick, “Bistability in bacteria,” Molecular Microbiology, vol. 61, no. 3, pp. 564–572, 2006.
  • A. Eldar and M. B. Elowitz, “Functional roles for noise in genetic circuits,” Nature, vol. 467, no. 7312, pp. 167–173, 2010.
  • M. E. Lidstrom and M. C. Konopka, “The role of physiological heterogeneity in microbial population behavior,” Nature Chemical Biology, vol. 6, no. 10, pp. 705–712, 2010.
  • E. Maisonneuve, M. Castro-Camargo, and K. Gerdes, “(p)ppGpp controls bacterial persistence by stochastic induction of toxin-antitoxin activity,” Cell, vol. 154, no. 5, pp. 1140–1150, 2013.
  • F. E. Berkowitz, “Antibiotic resistance in bacteria,” Southern Medical Journal, vol. 88, no. 8, pp. 797–804, 1995.
  • F. C. Tenover and J. M. Hughes, “The challenges of emerging infectious diseases: development and spread of multiply-resistant bacterial pathogens,” Journal of the American Medical Association, vol. 275, no. 4, pp. 300–304, 1996.
  • A. M. Garber, “Antibiotic exposure and resistance in mixed bacterial populations,” Theoretical Population Biology, vol. 32, no. 3, pp. 326–346, 1987.
  • A. S. Kessel and M. Sharland, “The new UK antimicrobial resistance strategy and action plan,” British Medical Journal, vol. 346, article f1601, 2013.
  • M. Lipsitch, C. T. Bergstrom, and B. R. Levin, “The epidemiology of antibiotic resistance in hospitals: paradoxes and prescriptions,” Proceedings of the National Academy of Sciences of the United States of America, vol. 97, no. 4, pp. 1938–1943, 2000.
  • M. J. M. Bonten, D. J. Austin, and M. Lipsitch, “Understanding the spread of antibiotic resistant pathogens in hospitals: mathematical models as tools for control,” Clinical Infectious Diseases, vol. 33, no. 10, pp. 1739–1746, 2001.
  • N. Jumbe, A. Louie, R. Leary et al., “Application of a mathematical model to prevent in vivo amplification of antibiotic-resistant bacterial populations during therapy,” Journal of Clinical Investigation, vol. 112, no. 2, pp. 275–285, 2003.
  • A. Sotto and J. P. Lavigne, “A mathematical model to guide antibiotic treatment strategies,” BMC Medicine, vol. 10, article 90, 2012.
  • P. Ankomah and B. R. Levin, “Two-drug antimicrobial chemotherapy: a mathematical model and experiments with Mycobacterium marinum,” PLoS Pathogens, vol. 8, no. 1, Article ID e1002487, 2012.
  • I. H. Spicknall, B. Foxman, C. F. Marrs, and J. N. S. Eisenberg, “A modeling framework for the evolution and spread of antibiotic resistance: literature review and model categorization,” American Journal of Epidemiology, vol. 178, no. 4, pp. 508–520, 2013.
  • C. C. McCluskey and J. S. Muldowney, “Bendixson-Dulac criteria for difference equations,” Journal of Dynamics and Differential Equations, vol. 10, no. 4, pp. 567–575, 1998.
  • O. Osuna and G. Villasenor, “On the Dulac functions,” Qualitative Theory of Dynamical Systems, vol. 10, no. 1, pp. 43–49, 2011.
  • K. Lewis, “Persister cells, dormancy and infectious disease,” Nature Reviews Microbiology, vol. 5, no. 1, pp. 48–56, 2007.
  • M. D. LaFleur, Q. Qi, and K. Lewis, “Patients with long-term oral carriage harbor high-persister mutants of Candida albicans,” Antimicrobial Agents and Chemotherapy, vol. 54, no. 1, pp. 39–44, 2010.
  • K. R. Allison, M. P. Brynildsen, and J. J. Collins, “Metabolite-enabled eradication of bacterial persisters by aminoglycosides,” Nature, vol. 473, no. 7346, pp. 216–220, 2011. \endinput