Crowding effects promote coexistence in the chemostat
From MaRDI portal
Publication:2488795
DOI10.1016/j.jmaa.2006.02.036zbMath1086.92050OpenAlexW2111816081MaRDI QIDQ2488795
Patrick De Leenheer, David Angeli
Publication date: 16 May 2006
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.02.036
Ecology (92D40) Qualitative investigation and simulation of ordinary differential equation models (34C60) Asymptotic properties of solutions to ordinary differential equations (34D05)
Related Items (17)
Species coexistence under resource competition with intraspecific and interspecific direct competition in a chemostat ⋮ Single phytoplankton species growth with light and crowding effect in a water column ⋮ Competition for a single resource and coexistence of several species in the chemostat ⋮ Analysis and optimization of the chemostat model with a lateral diffusive compartment ⋮ Global stability for a model of competition in the chemostat with microbial inputs ⋮ How can inter-specific interferences explain coexistence or confirm the competitive exclusion principle in a chemostat? ⋮ Properties of the chemostat model with aggregated biomass ⋮ Coexistence in the design of a series of two chemostats ⋮ A density-dependent model of competition for one resource in the chemostat ⋮ Extensions of the chemostat model with flocculation ⋮ CROWDING AND LIGHT LIMITATION AFFECT PHYTOPLANKTON COMPETITION FOR NITROGEN ⋮ Mathematical analysis of a three-tiered food-web in the chemostat ⋮ Emergence of coexistence and limit cycles in the chemostat model with flocculation for a general class of functional responses ⋮ Interspecific density-dependent model of predator–prey relationship in the chemostat ⋮ Mortality can produce limit cycles in density-dependent models with a predator-prey relationship ⋮ Crowding effects on coexistence solutions in the unstirred chemostat ⋮ Input/state invariant LQ-optimal control: application to competitive coexistence in a chemostat
Cites Work
- Unnamed Item
- Unnamed Item
- Competition for fluctuating nutrient
- Competition in the gradostat
- A competition model for a seasonally fluctuating nutrient
- Asymptotic amplitudes and Cauchy gains: A small-gain principle and an application to inhibitory biological feedback
- On predator-prey systems and small-gain theorems
- Global stability for the SEIR model in epidemiology
- Small-gain theorem for ISS systems and applications
- Feedback control for chemostat models
- A small-gain theorem for almost global convergence of monotone systems
- A Mathematical Model of the Chemostat with Periodic Washout Rate
- Systems of Differential Equations that are Competitive or Cooperative II: Convergence Almost Everywhere
- Global Dynamics of a Mathematical Model of Competition in the Chemostat: General Response Functions and Differential Death Rates
- Evolutionary Games and Population Dynamics
- Virus Dynamics: A Global Analysis
- The Theory of the Chemostat
- Monotone control systems
This page was built for publication: Crowding effects promote coexistence in the chemostat