Positive solutions of a competition model for two resources in the unstirred chemostat

DOI10.1016/j.jmaa.2009.01.045zbMath1184.35159OpenAlexW2055906987MaRDI QIDQ1018350

Hua Nie, Jian-hua Wu

Publication date: 19 May 2009

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.2009.01.045

zbMATH Keywords

multiplicityfixed point theorypositive steady statesmonotone methodperfectly complementary resources

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Cell movement (chemotaxis, etc.) (92C17) Semilinear elliptic equations (35J61) Boundary value problems for second-order elliptic systems (35J57)

Related Items (14)

Study of the dynamics of two chemostats connected by Fickian diffusion with bounded random fluctuations ⋮ Analysis and optimization of the chemostat model with a lateral diffusive compartment ⋮ A competitive model in a chemostat with nutrient recycling and antibiotic treatment ⋮ Multiple positive steady states of a diffusive predator‐prey model in spatially heterogeneous environments ⋮ Coexistence and stability of an unstirred chemostat model with Beddington-DeAngelis function ⋮ Competition between two similar species in the unstirred chemostat ⋮ Uniqueness and multiplicity of a prey-predator model with predator saturation and competition ⋮ Existence and stability of coexistence states in a competition unstirred chemostat ⋮ Positive solutions to the unstirred chemostat model with Crowley-Martin functional response ⋮ Coexistence of an unstirred chemostat model with Beddington-DeAngelis functional response and inhibitor ⋮ Stationary distribution and periodic solution of stochastic chemostat models with single-species growth on two nutrients ⋮ A competition un-stirred chemostat model with virus in an aquatic system ⋮ Bifurcation analysis of a chemostat model of plasmid-bearing and plasmid-free competition with pulsed input ⋮ Coexistence solutions of a competition model with two species in a water column

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