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

Daniel A. Korytowski; Hal Smith

doi:10.1007/s11538-017-0265-6

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

Daniel A. Korytowski, Hal Smith

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

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.

Original language	English (US)
Pages (from-to)	995-1004
Number of pages	10
Journal	Bulletin of Mathematical Biology
Volume	79
Issue number	5
DOIs	https://doi.org/10.1007/s11538-017-0265-6
State	Published - May 1 2017

Keywords

Bacteria
Infection network
Kill the winner
Lotka–Volterra system
Parasite-mediated coexistence
Permanence
Virus
Zooplankton

ASJC Scopus subject areas

Neuroscience(all)
Immunology
Mathematics(all)
Biochemistry, Genetics and Molecular Biology(all)
Pharmacology
Environmental Science(all)
Agricultural and Biological Sciences(all)
Computational Theory and Mathematics

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10.1007/s11538-017-0265-6

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KW - Permanence

KW - Virus

KW - Zooplankton

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

Abstract

Keywords

ASJC Scopus subject areas

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