Periodic oscillatory and global attractivity for chemostat model involving distributed delays

DOI10.1016/j.nonrwa.2005.03.007zbMath1130.34333OpenAlexW1989996917MaRDI QIDQ859537

Hongyong Zhao, Li Sun

Publication date: 16 January 2007

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2005.03.007

zbMATH Keywords

global attractivitydifferential inequalitychemostat modelcoincidence degreeperiodic oscillatory

Mathematics Subject Classification ID

Asymptotic theory of functional-differential equations (34K25) Population dynamics (general) (92D25) Periodic solutions to functional-differential equations (34K13)

Related Items (6)

On the existence of positive periodic solutions for \(N\)-species Lotka-Volterra competitive systems with distributed delays and impulses ⋮ Existence of positive periodic solutions of a delayed periodic microcystins degradation model with nonlinear functional responses ⋮ Impulsive control strategy for a chemostat model with nutrient recycling and distributed time-delay ⋮ Existence and global attractivity of positive periodic solutions of competition systems ⋮ Spatial dynamics of a nonlocal delayed unstirred chemostat model with periodic input ⋮ Existence of positive periodic solutions of several types of biological models with periodic coefficients

Cites Work

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• Stability in chemostat equations with delayed recycling
• Global stability in chemostat-type plankton models with delayed nutrient recycling
• Qualitative properties of chemostat equations with time delays: Boundedness, local and global asymptotic stability
• Permanence of a single-species dispersal system and predator survival
• Hopf bifurcation in a Volterra prey--predator model with strong kernel
• Permanence and extinction for dispersal population systems
• Global stability in chemostat models involving time delays and wall growth
• The Simple Chemostat with Wall Growth
• Global Stability in Chemostat-Type Equations with Distributed Delays
• The Theory of the Chemostat
• Global stability of chemostat models involving time delays

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