A food chain model for two resources in un-stirred chemostat
From MaRDI portal
Publication:2379063
DOI10.1016/j.amc.2008.09.017zbMath1152.92031OpenAlexW2052069204MaRDI QIDQ2379063
Jing Liu, Sining Zheng, Haojie Guo
Publication date: 14 January 2009
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2008.09.017
maximum principlepersistencereaction-diffusion systemextinctionglobal bifurcationfixed point indexchemostatfood chaincoexistence
Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Reaction-diffusion equations (35K57) Ecology (92D40) Bifurcations in context of PDEs (35B32)
Related Items
Coexistence phenomena and global bifurcation structure in a chemostat-like model with species-dependent diffusion rates, A competition model for two resources in un-stirred chemostat, A competition un-stirred chemostat model with virus in an aquatic system
Cites Work
- Exploitative competition in a chemostat for two complementary, and possibly inhibitory, resources
- Geometric theory of semilinear parabolic equations
- Exploitative competition in the chemostat for two perfectly substitutable resources
- Coexistence solutions for a reaction--diffusion system of un-stirred chemostat model
- On the indices of fixed points of mappings in cones and applications
- Dynamics of a bio-reactor model with chemotaxis.
- A parabolic system modeling microbial competition in an unmixed bio-reactor
- Bifurcation from simple eigenvalues
- On a System of Reaction-Diffusion Equations Arising from Competition in an Unstirred Chemostat
- Global Bifurcation of Positive Solutions in Some Systems of Elliptic Equations
- Exploitative Competition of Microorganisms for Two Complementary Nutrients in Continuous Cultures
- Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
- Positive solutions for a three-species competition system with diffusion—I. General existence results
- Global Asymptotic Behavior of a Chemostat Model with Two Perfectly Complementary Resources and Distributed Delay
- A Mathematical Model of Competition for Two Essential Resources in the Unstirred Chemostat
- Persistence under Relaxed Point-Dissipativity (with Application to an Endemic Model)
- A system of resource-based growth models with two resources in the unstirred chemostat
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item