Analysis of a chemostat model for bacteria and virulent bacteriophage

DOI10.3934/dcdsb.2002.2.495zbMath1028.34067OpenAlexW2004168263MaRDI QIDQ1848469

Yanbin Tang, Edoardo Beretta, Fortunata Solimano

Publication date: 4 February 2003

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2002.2.495

zbMATH Keywords

global stabilitylocal stabilitydelay equationschemostatbacteria-bacteriophage interaction

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Stability theory of functional-differential equations (34K20)

Related Items (11)

Bacteriophage and bacteria in a flow reactor ⋮ Hopf bifurcation analysis of a phage therapy model ⋮ Bactria and lytic phage coexistence in a chemostat with periodic nutrient supply ⋮ Persistence of bacteria and phages in a chemostat ⋮ The analysis and regulation for the dynamics of a temperate bacteriophage model ⋮ Well-posedness and dissipativity for a model of bacteriophage and bacteria in a flow reactor ⋮ The dynamics of a two host-two virus system in a chemostat environment ⋮ A delay model for persistent viral infections in replicating cells ⋮ Stability switch and Hopf bifurcation for a diffusive prey-predator system with delay ⋮ Stability analysis and persistence of a phage therapy model ⋮ Lyapunov stability for a class of predator--prey model with delayed nutrient recycling

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