Persistence in Phage-Bacteria Communities with Nested and One-to-One\n Infection Networks

2015/05/14 by Daniel A. Korytowski, Korytowski, Daniel A., Hal L. Smith +1
Biochemistry, Genetics and Molecular Biology · Social Sciences · Medicine · #Evolution and Genetic Dynamics #Evolutionary Game Theory and Cooperation #Mathematical and Theoretical Epidemiology and Ecology Models

paper · pdf · doi:10.48550/arxiv.1505.03827

Abstract

We show that a bacteria and bacteriophage system with either a perfectly\nnested or a one-to-one infection network is permanent, a.k.a uniformly\npersistent, provided that bacteria that are superior competitors for nutrient\ndevote the least to defence against infection and the virus that are the most\nefficient at infecting host have the smallest host range. By ensuring that the\ndensity-dependent reduction in bacterial growth rates are independent of\nbacterial strain, we are able to arrive at the permanence conclusion sought by\nJover et al (J. Theor. Biol. 332:65-77, 2013). The same permanence results hold\nfor the one-to-one infection network considered by Thingstad (Limnol Oceanogr\n45:1320-1328, 2000) but without virus efficiency ordering. Additionally we show\nthe global stability for the nested infection network, and the global dynamics\nfor the one-to-one network.\n

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