Microbial growth in periodic gradostats

DOI10.1216/rmjm/1181073069zbMath0726.92025OpenAlexW2028747408MaRDI QIDQ803086

Hal Leslie Smith

Publication date: 1990

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmjm/1181073069

zbMATH Keywords

persistenceextinctioncooperative systemsPerron-Frobenius theoryFloquet multiplierflow ratesgradostatmonotone dynamicschemostatslimiting substratediurnal variationsgrowth of microorganismslimiting complementary substratesperiodic steady state oscillationreservoir nutrient concentrationseasonal variationssystem of periodic, nonautonomous quasimonotone ordinary differential equations

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Ecology (92D40) Physiological, cellular and medical topics (92C99)

Related Items (5)

Competition models in the gradostat with general nutrient uptake functions ⋮ Dynamics of harmful algae with seasonal temperature variations in the cove-main lake ⋮ Competition in the periodic gradostat ⋮ Global attractivity in a periodic chemostat with general uptake functions ⋮ Equilibrium distribution of species among vessels of a gradostat. A singular perturbation approach

Cites Work

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• Competition for fluctuating nutrient
• Competition in the gradostat: The role of the communication rate
• Mathematical investigations of growth of microorganisms in the gradostat
• Competition in the gradostat
• A competition model for a seasonally fluctuating nutrient
• A Mathematical Model of the Chemostat with Periodic Washout Rate
• Periodic Solutions of Periodic Competitive and Cooperative Systems
• Cooperative systems of differential equations with concave nonlinearities
• Competitive Coexistence in an Oscillating Chemostat

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