Permanence and Stability of a Kill the Winner Model in Marine Ecology

We focus on the long-term dynamics of “killing the winner” Lotka–Volterra models of marine communities consisting of bacteria, virus, and zooplankton. Under suitable conditions, it is shown that there is a unique equilibrium with all populations present which is stable, the system is permanent, and...

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Veröffentlicht in:	Bulletin of mathematical biology 2017-05, Vol.79 (5), p.995-1004
Hauptverfasser:	Korytowski, Daniel A., Smith, Hal
Format:	Artikel
Sprache:	eng
Schlagworte:	Animals Aquatic Organisms Bacteria Cell Biology Ecosystem Food Chain Life Sciences Mathematical and Computational Biology Mathematical Concepts Mathematics Mathematics and Statistics Microbial Consortia Models, Biological Original Article Viruses Zooplankton
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Beschreibung
Zusammenfassung:	We focus on the long-term dynamics of “killing the winner” Lotka–Volterra models of marine communities consisting of bacteria, virus, and zooplankton. Under suitable conditions, it is shown that there is a unique equilibrium with all populations present which is stable, the system is permanent, and the limiting behavior of its solutions is strongly constrained.
ISSN:	0092-8240 1522-9602
DOI:	10.1007/s11538-017-0265-6