Existence of \(\omega \)-periodic solutions for a delayed chemostat with periodic inputs

DOI10.1016/j.nonrwa.2020.103134zbMath1455.34081OpenAlexW3014495952MaRDI QIDQ2208738

Daniel Sepúlveda, Gonzalo Robledo, Pablo Amster

Publication date: 4 November 2020

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2020.103134

zbMATH Keywords

periodic solutionsdelay differential equationschemostat

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Applications of operator theory to differential and integral equations (47N20) Periodic solutions to functional-differential equations (34K13) Qualitative investigation and simulation of models involving functional-differential equations (34K60) Nonautonomous smooth dynamical systems (37C60)

Related Items (6)

Periodic solution and extinction in a periodic chemostat model with delay in microorganism growth ⋮ Existence of positive periodic solutions of a delayed periodic microcystins degradation model with nonlinear functional responses ⋮ On a theorem by Browder and its application to nonlinear boundary value problems ⋮ Hopf bifurcation of a turbidostat model with nutrient recycling and multiple delay effects ⋮ Dynamics of a delayed discrete size-structured chemostat with periodic nutrient supply ⋮ Existence of positive periodic solutions of several types of biological models with periodic coefficients

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