Abstract:
:Mathematical modeling is an important tool to assessing quantitative conjectures and to answer specific questions. In the modeling, we assume that a competitor represented by a lactic acid bacterium produces antimicrobial compounds (substances that kill microorganisms or inhibit their growth), such as lactic acid and bacteriocins, with some cost to its own growth. Bacteriocins are protein compounds with antimicrobial effect against related species and bacteria such as Listeria monocytogenes, which is foodborne pathogen that cause listeriosis. From the analysis of the model, we found the thresholds which determine the existence of multiple equilibria and we studied their stability, in order to evaluate the interaction between lactic acid bacteria and L. monocytogenes.
journal_name
Bull Math Bioljournal_title
Bulletin of mathematical biologyauthors
Delboni RR,Yang HMdoi
10.1007/s11538-017-0302-5subject
Has Abstractpub_date
2017-07-01 00:00:00pages
1637-1661issue
7eissn
0092-8240issn
1522-9602pii
10.1007/s11538-017-0302-5journal_volume
79pub_type
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