Model of plasmid-bearing, plasmid-free competition in the chemostat with nutrient recycling and an inhibitor

DOI10.1016/S0025-5564(97)10010-4zbMath0930.92029OpenAlexW2012268444WikidataQ52242450 ScholiaQ52242450MaRDI QIDQ1306981

Zhiqi Lu, Karl Peter Hadeler

Publication date: 15 February 2000

Published in: Mathematical Biosciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0025-5564(97)10010-4

zbMATH Keywords

competitionpersistencechemostatinhibitornutrient recycling

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20) Ecology (92D40) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (17)

A new Liapunov function for the simple chemostat ⋮ Global behaviors of a chemostat model with delayed nutrient recycling and periodically pulsed input ⋮ Dynamics of a plasmid chemostat model with periodic nutrient input and delayed nutrient recycling ⋮ A competitive model in a chemostat with nutrient recycling and antibiotic treatment ⋮ Coexistence in the chemostat as a result of metabolic by-products ⋮ A survey of mathematical models of competition with an inhibitor. ⋮ A class of dynamic models describing microbial flocculant with nutrient competition and metabolic products in wastewater treatment ⋮ Periodic oscillations in a chemostat model with two discrete delays ⋮ Bifurcation and chaos in a pulsed plankton model with instantaneous nutrient recycling ⋮ Competition between plasmid-bearing and plasmid-free organisms in a chemostat with pulsed input and washout ⋮ 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 ⋮ GLOBAL STABILITY OF A CHEMOSTAT MODEL WITH DELAYED RESPONSE IN GROWTH AND A LETHAL EXTERNAL INHIBITOR ⋮ Asymptotic behavior of an unstirred chemostat model with internal inhibitor ⋮ A SYSTEM OF REACTION–DIFFUSION EQUATIONS IN THE UNSTIRRED CHEMOSTAT WITH AN INHIBITOR ⋮ Competition in the chemostat with an undesirable lethal competitor

Cites Work

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• Competition between plasmid-bearing and plasmid-free organisms in a chemostat with an inhibitor
• Analysis of a Model of Two Competitors in a Chemostat with an External Inhibitor
• A Mathematical Theory for Single-Nutrient Competition in Continuous Cultures of Micro-Organisms
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• The Theory of the Chemostat

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