Persistence in phage-bacteria communities with nested and one-to-one infection networks

Dan A. Korytowski, Hal Smith

Research output: Contribution to journalArticle

4 Scopus citations

Abstract

We show that a bacteria and bacteriophage system with either a perfectly nested or a one-to-one infection network is permanent, a.k.a uniformly persistent, provided that bacteria that are superior competitors for nutrient devote the least to defence against infection and the virus that are the most efficient at infecting host have the smallest host range. By ensuring that the density-dependent reduction in bacterial growth rates are independent of bacterial strain, we are able to arrive at the permanence conclusion sought by Jover et al [3]. The same permanence results hold for the one-to-one infection network considered by Thingstad [9] but without virus efficiency ordering. In some special cases, we show the global stability for the nested infection network, and obtain restrictions on the global dynamics for the one-to-one network.

Original languageEnglish (US)
Pages (from-to)859-875
Number of pages17
JournalDiscrete and Continuous Dynamical Systems - Series B
Volume22
Issue number3
DOIs
StatePublished - May 1 2017

Keywords

  • Community assembly
  • Lyapunov function
  • Nested infection network
  • Permanence
  • Persistence
  • Phage-bacteria infection network

ASJC Scopus subject areas

  • Discrete Mathematics and Combinatorics
  • Applied Mathematics

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