A reaction-advection-diffusion system modeling the competition for two complementary resources with seasonality in a flowing habitat

DOI10.1016/j.jmaa.2015.02.073zbMath1323.35186OpenAlexW2028357183MaRDI QIDQ2347129

Chu-Ching Huang, Feng-Bin Wang

Publication date: 26 May 2015

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.2015.02.073

zbMATH Keywords

complementary resourcesextinction and persistenceperiodic coexistence stateperiodic bio-reactor models

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Initial-boundary value problems for second-order parabolic equations (35K20) Estimates of eigenvalues in context of PDEs (35P15) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Semilinear parabolic equations with Laplacian, bi-Laplacian or poly-Laplacian (35K91)

Related Items

A reaction-diffusion model of harmful algae and zooplankton in an ecosystem, Mathematical modeling and analysis of harmful algal blooms in flowing habitats

Uses Software

• Python
• SciTools

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A system of partial differential equations modeling the competition for two complementary resources in flowing habitats
• Competition and coexistence in flowing habitats with a hydraulic storage zone
• Semigroups of linear operators and applications to partial differential equations
• The growth of pure and simple microbial competitors in a moving distributed medium
• Dynamics of a periodically pulsed bio-reactor model
• Global asymptotics in some quasimonotone reaction-diffusion systems with delays
• 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
• 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
• On strongly monotone flows
• 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
• Python Scripting for Computational Science
• Dynamical systems in population biology
• A system of resource-based growth models with two resources in the unstirred chemostat