A predator-prey model in the chemostat with time delay

DOI10.1155/2010/287969zbMath1207.34105OpenAlexW2024326939WikidataQ58651237 ScholiaQ58651237MaRDI QIDQ606227

Guihong Fan, Gail S. K. Wolkowicz

Publication date: 16 November 2010

Published in: International Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/228647

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Periodic solutions to functional-differential equations (34K13) Qualitative investigation and simulation of models involving functional-differential equations (34K60) Bifurcation theory of functional-differential equations (34K18)

Related Items (6)

Global analysis of continuous flow bioreactor and membrane reactor models with death and maintenance ⋮ Delay induced stability switch, multitype bistability and chaos in an intraguild predation model ⋮ Dynamics of a predator-prey model with distributed delay to represent the conversion process or maturation ⋮ Chaotic dynamics in a simple predator-prey model with discrete delay ⋮ Global asymptotic stability of certain third-order nonlinear differential equations ⋮ Bifurcation dynamics of a delayed chemostat system with spatial diffusion

Uses Software

• DDE-BIFTOOL

Cites Work

• Unnamed Item
• Delay differential equations: with applications in population dynamics
• Predator-mediated competition in the chemostat
• Successful invasion of a food web in a chemostat
• Coexistence of competing predators in a chemostat
• Geometric Stability Switch Criteria in Delay Differential Systems with Delay Dependent Parameters
• Differential equation models of some parasitic infections: Methods for the study of asymptotic behavior
• Hopf Bifurcation for functional differential equations
• A Mathematical Theory for Single-Nutrient Competition in Continuous Cultures of Micro-Organisms
• Global Asymptotic Behavior of a Chemostat Model with Discrete Delays
• Limit Cycles in a Chemostat-Related Model
• The Theory of the Chemostat
• Numerical bifurcation analysis of delay differential equations using DDE-BIFTOOL
• INVARIANT IMBEDDING AND RAREFIED GAS DYNAMICS

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