A discrete, size-structured model of microbial growth and competition in the chemostat

DOI10.1007/BF00161517zbMath0884.92029OpenAlexW1995549953MaRDI QIDQ2563706

Hal Leslie Smith

Publication date: 18 March 1998

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

Full work available at URL: https://doi.org/10.1007/bf00161517

zbMATH Keywords

competitionchemostatdiscrete model

Mathematics Subject Classification ID

Ecology (92D40) Additive difference equations (39A10) Matrix and operator functional equations (39B42)

Related Items (13)

A new Liapunov function for the simple chemostat ⋮ A discrete hierarchical model of intra-specific competition ⋮ Dynamics of a discrete size-structured chemostat with variable nutrient supply ⋮ Dynamics of a delayed discrete size-structured chemostat with periodic nutrient supply ⋮ SURVIVAL OF THE FITTEST IN A QUASILINEAR SIZE‐STRUCTURED POPULATION MODEL ⋮ THE EFFECT OF THE ORGANISMS' BODY SIZE AND ENERGY RESERVES IN MODELS FOR POPULATION DYNAMICS ⋮ A size-structured model of bacterial growth and reproduction ⋮ Dynamics of hierarchical models in discrete-time ⋮ Stable coexistence and bi-stability for competitive systems on ordered Banach spaces ⋮ Contest and scramble competition with a dynamic resource ⋮ Multistability driven by inhibitory kinetics in a discrete-time size-structured chemostat model ⋮ Competitive exclusion and coexistence for a quasilinear size-structured population model ⋮ A size-structured, non-conservative ODE model of the chemostat

Cites Work

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• Division synchrony and the dynamics of microbial populations: A size- specific model
• Convergence of the age structure: applications of the projective metric
• Persistence in systems of asymptotically autonomous difference equations
• NONLINEAR MATRIX MODELS AND POPULATION DYNAMICS
• Persistence in Discrete Semidynamical Systems
• A Mathematical Theory for Single-Nutrient Competition in Continuous Cultures of Micro-Organisms
• A Competition Model for Size-Structured Species
• The Theory of the Chemostat

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