A competition model with dynamically allocated toxin production in the unstirred chemostat
From MaRDI portal
Publication:523851
DOI10.3934/cpaa.2017066zbMath1360.35302OpenAlexW2606585350MaRDI QIDQ523851
Sze-Bi Hsu, Hua Nie, Jian-hua Wu
Publication date: 24 April 2017
Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/cpaa.2017066
Nonlinear parabolic equations (35K55) Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Maximum principles in context of PDEs (35B50) Bifurcations in context of PDEs (35B32)
Related Items
Spatial dynamics of a nonlocal delayed unstirred chemostat model with periodic input, A competition un-stirred chemostat model with virus in an aquatic system, Coexistence of competing species with flocculation in an unstirred chemostat, The Effect of Diffusion on the Dynamics of a Predator-Prey Chemostat Model
Cites Work
- Unnamed Item
- On the dynamical behavior of some algal allelopathic competitions in chemostat-like environment
- The effect of toxins on the plasmid-bearing and plasmid-free model in the unstirred chemostat
- Some new results on an allelopathic competition model with quorum sensing and delayed toxicant production
- Existence, uniqueness and stability analysis of allelopathic stimulatory phytoplankton model
- On global bifurcation for quasilinear elliptic systems on bounded domains
- Competition in the chemostat when one competitor produces a toxin
- Existence and uniqueness of coexistence states for the predator-prey model with diffusion: The scalar case
- On the indices of fixed points of mappings in cones and applications
- Global bifurcation of coexistence state for the competition model in the chemostat
- Bifurcation, perturbation of simple eigenvalues, and linearized stability
- Asymptotic behavior on a competition model arising from an unstirred chemostat
- Coexistence solutions and their stability of an unstirred chemostat model with toxins
- Bifurcation from simple eigenvalues
- Multiple coexistence solutions to the unstirred chemostat model with plasmid and toxin
- On Positive Solutions of Some Pairs of Differential Equations
- The Theory of the Chemostat
- Uniqueness and stability for coexistence solutions of the unstirred chemostat model
- Positive solutions for a three-species competition system with diffusion—I. General existence results
- A Mathematical Model of Competition for Two Essential Resources in the Unstirred Chemostat
- The Effect of Inhibitor on the Plasmid‐Bearing and Plasmid‐Free Model in the Unstirred Chemostat
- A SYSTEM OF REACTION–DIFFUSION EQUATIONS IN THE UNSTIRRED CHEMOSTAT WITH AN INHIBITOR
- A competition model with dynamically allocated inhibitor production
