GLOBAL STABILITY OF A CHEMOSTAT MODEL WITH DELAYED RESPONSE IN GROWTH AND A LETHAL EXTERNAL INHIBITOR
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Publication:3608713
DOI10.1142/S1793524508000436zbMath1156.92041OpenAlexW2029996974MaRDI QIDQ3608713
Publication date: 5 March 2009
Published in: International Journal of Biomathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s1793524508000436
Stability theory of functional-differential equations (34K20) Ecology (92D40) Qualitative investigation and simulation of models involving functional-differential equations (34K60)
Related Items (3)
Effect of delayed response in growth on the dynamics of a chemostat model with impulsive input ⋮ Dynamic behaviors in a droop model for phytoplankton growth in a chemostat with nutrient periodically pulsed input ⋮ The effect of continuous and pulse input nutrient on a lake model
Cites Work
- Delay differential equations: with applications in population dynamics
- Some new results on an allelopathic competition model with quorum sensing and delayed toxicant production
- Permanence and stability of a predator-prey system with stage structure for predator
- Discrete delay, distributed delay and stability switches
- Model of plasmid-bearing, plasmid-free competition in the chemostat with nutrient recycling and an inhibitor
- Asymptotic behaviour of the chemostat model with delayed response in growth
- Stability and persistence in plankton models with distributed delays.
- A survey of mathematical models of competition with an inhibitor.
- Global periodic solutions for a differential delay system modeling a microbial population in the chemostat
- Erratum to ``On the periodic solutions for an \(n\)-th order difference equations [Appl. Math. Comput. 135, No. 2--3, 383--390 (2003)]
- A delayed chemostat model with general nonmonotone response functions and differential removal rates
- Competition in the bioreactor with general quadratic yields when one competitor produces a toxin
- Competition between plasmid-bearing and plasmid-free organisms in a chemostat with nutrient recycling and an inhibitor
- Persistence in Infinite-Dimensional Systems
- Global Dynamics of a Mathematical Model of Competition in the Chemostat: General Response Functions and Differential Death Rates
- Analysis of a Model of Two Competitors in a Chemostat with an External Inhibitor
- Competition in the Chemostat: Global Asymptotic Behavior of a Model with Delayed Response in Growth
- Global Asymptotic Behavior of a Chemostat Model with Discrete Delays
- The effect of delays on stability and persistence in plankton models
- Competition in the presence of a lethal external inhibitor
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