Mathematical investigations of growth of microorganisms in the gradostat

DOI10.1007/BF00275252zbMath0604.92020OpenAlexW2059703681WikidataQ113909322 ScholiaQ113909322MaRDI QIDQ1084045

Betty K. P. Tang

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1007/bf00275252

zbMATH Keywords

fixed pointsordered Banach spacespatial distributionMichaelis-Menten kineticsmicrobial ecosystemsgradostatsublinear operatornonlinear algebraic equationsbifurcation valuestransport ratesgrowth of microorganismslimiting complementary substratesseries of coupled chemostats

Mathematics Subject Classification ID

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

Related Items

Competition models in the gradostat with general nutrient uptake functions, Competition in the gradostat, Performance study of two serial interconnected chemostats with mortality, Study of the dynamics of two chemostats connected by Fickian diffusion with bounded random fluctuations, Competition in the gradostat: the global stability problem, Analysis and optimization of the chemostat model with a lateral diffusive compartment, The productivity of two serial chemostats, Study of performance criteria of serial configuration of two chemostats, Asymptotic behavior of solutions of competition in gradostat with two limiting complementary substrates, A nonlinear boundary value problem arising from competition in the chemostat, Nonlinear Evolution Equations and Applications, Theoretical studies on extinction in the gradostat, Competition in the gradostat: The role of the communication rate, Competition in the periodic gradostat, Microbial growth in periodic gradostats, Global dynamics of the buffered chemostat for a general class of response functions, Equilibrium distribution of species among vessels of a gradostat. A singular perturbation approach

Cites Work

• Coexistence of competing predators in a chemostat
• Exploitative Competition of Microorganisms for Two Complementary Nutrients in Continuous Cultures
• Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
• A Mathematical Theory for Single-Nutrient Competition in Continuous Cultures of Micro-Organisms
• Limiting Behavior for Competing Species
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