The dynamics of bacteria-plasmid systems

DOI10.1007/BF00163028zbMath0806.92017MaRDI QIDQ1315131

Roland Waldstätter, Catherine A. Macken, Simon A. Levin

Publication date: 16 February 1995

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

zbMATH Keywords

multiple equilibriacoexistenceplasmidsbacteriathreshold valueslinear mortalitymonotonically increasing mortality function

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Ecology (92D40)

Related Items (13)

Global analysis of a model of plasmid-bearing, plasmid-free competition in a chemostat ⋮ Global analysis of a model of plasmid-bearing, plasmid-free competition in a chemostat with inhibitions ⋮ Competition between plasmid-bearing and plasmid-free organisms in a chemostat with an inhibitor ⋮ A survey of mathematical models of competition with an inhibitor. ⋮ Competition of plasmid-bearing and plasmid-free organisms in a chemostat: a study of bifurcation phenomena ⋮ Hopf bifurcation and analysis of equilibrium for a third-order differential equation in a model of competition ⋮ Competition in the presence of a lethal external inhibitor ⋮ A competition model with dynamically allocated inhibitor production ⋮ Competition between plasmid-bearing and plasmid-free organisms in a chemostat with nutrient recycling and an inhibitor ⋮ Competition in the chemostat with an undesirable lethal competitor ⋮ DYNAMICAL BEHAVIOR OF STOCHASTIC COMPETITION BETWEEN PLASMID-BEARING AND PLASMID-FREE ORGANISMS IN A CHEMOSTAT MODEL ⋮ Model of plasmid-bearing, plasmid-free competition in the chemostat with nutrient recycling and an inhibitor ⋮ Plasmid-bearing, plasmid-free organisms competing for two complementary nutrients in a chemostat

Cites Work

• Coexistence of incompatible plasmids in a bacterial population living under a feast and famine regime

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