A system of partial differential equations modeling the competition for two complementary resources in flowing habitats
From MaRDI portal
Publication:603723
DOI10.1016/j.jde.2010.07.031zbMath1198.92048OpenAlexW2048095188MaRDI QIDQ603723
Publication date: 8 November 2010
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2010.07.031
maximum principlefixed point indexcoexistencelower solutionsupper solutionsmonotone dynamical systemcompetition of algaecomplementary resourcesessential resourcesflowing habitats
Nonlinear parabolic equations (35K55) Reaction-diffusion equations (35K57) Dynamical systems in biology (37N25) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Ecology (92D40)
Related Items
Dynamics of a model of microbial competition with internal nutrient storage in a flowing habitat, Dynamic analysis of a soil organic matter and plant system with reaction-diffusion, Global dynamics of a PDE in-host viral model, A reaction-diffusion model of harmful algae and zooplankton in an ecosystem, Global dynamics of a diffusive viral infection model with spatial heterogeneity, Dynamics of a reaction-diffusion-advection model with two species competing in a flow reactor, Competition between microorganisms for a single limiting resource with cell quota structure and spatial variation, Spatial dynamics of a nonlocal delayed unstirred chemostat model with periodic input, Mathematical modeling and analysis of harmful algal blooms in flowing habitats, Dynamics of a host-pathogen system on a bounded spatial domain, Analysis of a diffusive HBV model with logistic proliferation and non-cytopathic antiviral mechanisms, A reaction-advection-diffusion system modeling the competition for two complementary resources with seasonality in a flowing habitat, Crowding effects on coexistence solutions in the unstirred chemostat
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On a system of reaction-diffusion equations arising from competition with internal storage in an unstirred chemostat
- Semigroups of linear operators and applications to partial differential equations
- The growth of pure and simple microbial competitors in a moving distributed medium
- Elliptic eigenvalue problems and unbounded continua of positive solutions of a semilinear elliptic equations
- A parabolic system modeling microbial competition in an unmixed bio-reactor
- On a System of Reaction-Diffusion Equations Arising from Competition in an Unstirred Chemostat
- Abstract Functional Differential Equations and Reaction-Diffusion Systems
- Exploitative Competition of Microorganisms for Two Complementary Nutrients in Continuous Cultures
- Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
- A Mathematical Theory for Single-Nutrient Competition in Continuous Cultures of Micro-Organisms
- Effects of Random Motility on Microbial Growth and Competition in a Flow Reactor
- A Mathematical Model of Competition for Two Essential Resources in the Unstirred Chemostat
- The Theory of the Chemostat
- Global Attractors and Steady States for Uniformly Persistent Dynamical Systems
- Dynamical systems in population biology
- Chain transitivity, attractivity, and strong repellors for semidynamical systems
- A system of resource-based growth models with two resources in the unstirred chemostat
