Persistent competition models on two complementary nutrients with density-dependent consumption rates
DOI10.1007/s10231-018-0758-4zbMath1410.34134OpenAlexW2804827651MaRDI QIDQ667336
Publication date: 12 March 2019
Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10231-018-0758-4
dynamical systemsglobal stabilityuniform persistencechemostatdensity dependencecomplementary nutrients
Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Population dynamics (general) (92D25) Growth and boundedness of solutions to ordinary differential equations (34C11) Qualitative investigation and simulation of ordinary differential equation models (34C60) Asymptotic properties of solutions to ordinary differential equations (34D05)
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Cites Work
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- A theorem on average Liapunov functions
- Exploitative competition in a chemostat for two complementary, and possibly inhibitory, resources
- A general cooperation theorem for hypercycles
- STABILITY ANALYSIS OF A RATIO-DEPENDENT CHEMOSTAT MODEL WITH TIME DELAY AND VARIABLE YIELD
- Stability and stabilization for models of chemostats with multiple limiting substrates
- Uniformly Persistent Semidynamical Systems
- Decomposition techniques for large-scale systems with nonadditive interactions: Stability and stabilizability
- Exploitative Competition of Microorganisms for Two Complementary Nutrients in Continuous Cultures
- Global Asymptotic Behavior of the Chemostat: General Response Functions and Different Removal Rates
- The Chemostat
- The Theory of the Chemostat
- Contribution to the study of the effect of the interspecificity on a two nutrients competition model
- Persistence under Relaxed Point-Dissipativity (with Application to an Endemic Model)
- Dynamical systems in population biology