Stability of the chemostat system including a linear coupling between species
DOI10.3934/dcdsb.2022160OpenAlexW4293576289MaRDI QIDQ2099210
Henri Cazenave-Lacroutz, Térence Bayen, Jérôme Coville
Publication date: 23 November 2022
Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2110.09582
Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Population dynamics (general) (92D25) Stability of solutions to ordinary differential equations (34D20) Qualitative investigation and simulation of ordinary differential equation models (34C60) Global stability of solutions to ordinary differential equations (34D23) Asymptotic properties of solutions to ordinary differential equations (34D05) Perturbations, asymptotics of solutions to ordinary differential equations (34E10)
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Cites Work
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- Evolution of species trait through resource competition
- Optimization of the separation of two species in a chemostat
- Derivatives of functions of eigenvalues and eigenvectors for symmetric matrices
- Extensions of the chemostat model with flocculation
- Derivatives of the Perron root at an essentially nonnegative matrix and the group inverse of an M-matrix
- A Lyapunov function for the chemostat with variable yields
- Perturbation of a globally stable steady state and uniform persistence
- Derivatives of the Perron root of a positive reciprocal matrix: with application to the analytic hierarchy process
- Convergence results and a Poincaré-Bendixson trichotomy for asymptotically autonomous differential equations
- Uniform persistence and flows near a closed positively invariant set
- A survey of mathematical models of competition with an inhibitor.
- A numerical approach to determine mutant invasion fitness and evolutionary singular strategies
- Perturbation theorems for nonlinear systems of ordinary different equations
- Robust uniform persistence in discrete and continuous dynamical systems using Lyapunov exponents
- A singular M-matrix perturbed by a nonnegative rank one matrix has positive principal minors; is it D-stable?
- Time-optimal control of concentration changes in the chemostat with one single species
- A new proof of the competitive exclusion principle in the chemostat
- The dynamics of adaptation: An illuminating example and a Hamilton--Jacobi approach
- Analysis of a periodic optimal control problem connected to microalgae anaerobic digestion
- Optimisation of strain selection in evolutionary continuous culture
- Multistrain virus dynamics with mutations: a global analysis
- Global Dynamics of a Mathematical Model of Competition in the Chemostat: General Response Functions and Differential Death Rates
- Limiting Behavior for Competing Species
- Perturbation of a globally stable steady state
- Uniform weak implies uniform strong persistence for non-autonomous semiflows
- The chemostat with lateral gene transfer
- The Chemostat
- Persistence under Relaxed Point-Dissipativity (with Application to an Endemic Model)
- Persistence in dynamical systems
- Chain transitivity, attractivity, and strong repellors for semidynamical systems