On the uniform stability for a ‘food-limited’ population model with time delay

DOI10.1017/S0308210500022605zbMath0844.34079OpenAlexW2021076397MaRDI QIDQ4857095

Joseph W.-H. So, Jian She Yu

Publication date: 26 November 1995

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500022605

zbMATH Keywords

asymptotic stabilityfood-limited population model with a time delay

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Stability theory of functional-differential equations (34K20)

Related Items

Wave front solutions of a diffusive delay model for populations of Daphnia magna ⋮ The qualitative behavior of a plankton-fish interaction model with food limited growth rate and non-constant fish harvesting ⋮ Existence and asymptotic behavior of traveling wave fronts for a food-limited population model with spatio-temporal delay ⋮ Persistence and stability in general nonautonomous single-species Kolmogorov systems with delays ⋮ Hopf bifurcation analysis of a food-limited population model with delay ⋮ Spreading speed in a food-limited population model with nonlocal delay ⋮ Spatio-temporal dynamics of a reaction-diffusion-advection food-limited system with nonlocal delayed competition and Dirichlet boundary condition ⋮ Spreading speed of a food-limited population model with delay ⋮ Global attractivity of non-autonomous Lotka-Volterra competition system without instantaneous negative feedback. ⋮ Dynamics of a discrete food-limited population model with time delay ⋮ Global attractivity in scalar delayed differential equations with applications to population models. ⋮ Bifurcation analysis in a delayed reaction-diffusion-advection food-limited system ⋮ Invariant measure of a stochastic food-limited population model with regime switching ⋮ Hopf bifurcation in a delayed food-limited model with feedback control ⋮ Traveling wave fronts in a delayed population model of Daphnia magna ⋮ Monotone travelling fronts of a food-limited population model with nonlocal delay ⋮ Existence and uniqueness of monotone wavefronts in a nonlocal resource-limited model ⋮ Hopf bifurcations in a reaction-diffusion population model with delay effect ⋮ Unnamed Item ⋮ \({3/2}\)-type criteria for global attractivity of Lotka--Volterra competition system without instantaneous negative feedbacks

Cites Work

• Delay differential equations: with applications in population dynamics
• Environmental periodicity and time delays in a ``food-limited population model
• On the 3/2 stability theorem for one-dimensional delay-differential equations
• Time lags in a “food–limited” population
• On the stability for a population growth equation with time delay