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  4. Rendiconti dell’Istituto di Matematica dell’Università di Trieste: an International Journal of Mathematics
  5. Rendiconti dell’Istituto di Matematica dell’Università di Trieste: an International Journal of Mathematics vol.52 (2020), 1st and 2nd Issue
  6. A spatiotemporal model of drug resistance in bacteria with mutations
 
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A spatiotemporal model of drug resistance in bacteria with mutations

Hsu, Sze-Bi
•
Jiang, Jifa
2020
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ISSN
0049-4704
DOI
10.13137/2464-8728/30763
http://hdl.handle.net/10077/30763
  • Article

e-ISSN
2464-8728
Abstract
A spatio-temporal dynamics model is presented to study the effects of mutations on the persistence and extinction of bacteria under the antibiotic inhibition. We construct a mixed type Lyapunov functional to prove the global stability of extinction state and coexistence state for the case of forward mutation and forward-backward mutation respectively.
Journal
Rendiconti dell’Istituto di matematica dell’Università di Trieste: an International Journal of Mathematics 
Subjects
  • strong maximum princi...

  • Lyapunov functional

  • invariance principle

  • drug- resistance muta...

  • competitive exclusion...

  • uniform persistence

Publisher
EUT Edizioni Università di Trieste
Source
Sze-Bi Hsu, Jifa Jiang, "A spatiotemporal model of drug resistance in bacteria with mutations" in: "Rendiconti dell’Istituto di matematica dell’Università di Trieste: an International Journal of Mathematics vol. 52 (2020)", EUT Edizioni Università di Trieste, Trieste, 2020
Languages
en
Rights
Attribution-NonCommercial-NoDerivatives 4.0 Internazionale
Licence
http://creativecommons.org/licenses/by-nc-nd/4.0/
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