Stability analysis of a single-species logistic model with time delay and constant inflow

DOI10.1016/j.aml.2022.108514OpenAlexW4310424662MaRDI QIDQ2677871

Yasuhiro Takeuchi, Yueping Dong, Yukihiro Sawada

Publication date: 6 January 2023

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2022.108514

zbMATH Keywords

time delayHopf bifurcationhigh-dimensional systemsingle-species logistic model

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Stability theory of functional-differential equations (34K20) Stability of solutions to ordinary differential equations (34D20) Ecology (92D40) Qualitative investigation and simulation of models involving functional-differential equations (34K60)

Cites Work

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• Is dispersal always beneficial to carrying capacity? New insights from the multi-patch logistic equation
• Delay differential equations: with applications in population dynamics
• Global stability of single-species diffusion Volterra models with continuous time delays
• Discrete delay, distributed delay and stability switches
• An alternative formulation for a distributed delayed logistic equation
• Asymmetric dispersal in the multi-patch logistic equation

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