Persistence in systems of asymptotically autonomous difference equations

DOI10.1080/10236190108808266zbMath0981.92001OpenAlexW2039537388WikidataQ126247823 ScholiaQ126247823MaRDI QIDQ2745641

Kathleen M. Crowe

Publication date: 26 March 2002

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236190108808266

zbMATH Keywords

persistencediscrete dynamical systemslimiting equationasymptotically autonomous systemstructured population modelperiodically pulsed chemostat

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) General biology and biomathematics (92B05) General theory of difference equations (39A05)

Related Items (2)

A discrete, size-structured model of microbial growth and competition in the chemostat ⋮ A nonlinear ergodic theorem for discrete systems

Cites Work

• Persistence in models of three interacting predator-prey populations
• Predator-mediated competition in the chemostat
• Persistence in discrete age-structured population models
• Convergence results and a Poincaré-Bendixson trichotomy for asymptotically autonomous differential equations
• Asymptotically autonomous differential equations in the plane
• Coexistence in chemostat-like models
• A Mathematical Model of the Chemostat with a General Class of Functions Describing Nutrient Uptake
• Persistence in Discrete Semidynamical Systems
• A Mathematical Theory for Single-Nutrient Competition in Continuous Cultures of Micro-Organisms
• Persistence in dynamical systems

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