Global stability of a delay differential equations model of plankton allelopathy

DOI10.1016/j.amc.2011.12.083zbMath1402.92425OpenAlexW2008502817MaRDI QIDQ434675

Fengde Chen, Mengxin He, Zhong Li

Publication date: 16 July 2012

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2011.12.083

zbMATH Keywords

delayglobal stabilityiterative methodequilibriumplankton allelopathy

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Ecology (92D40) Global stability of solutions to ordinary differential equations (34D23)

Related Items (11)

Extinction of a two species competitive system with nonlinear inter-inhibition terms and one toxin producing phytoplankton ⋮ Global attractivity of a discrete competition model of plankton allelopathy with infinite deviating arguments ⋮ Uniformly asymptotic stability of almost periodic solutions for a delay difference system of plankton allelopathy ⋮ Dynamics of an impulsive model of plankton allelopathy with delays ⋮ Global stability in a competition model of plankton allelopathy with infinite delay ⋮ Extinction of a two species non-autonomous competitive system with Beddington-DeAngelis functional response and the effect of toxic substances ⋮ Extinction in a discrete Lotka–Volterra competitive system with the effect of toxic substances and feedback controls ⋮ Extinction of a two species competitive stage-structured system with the effect of toxic substance and harvesting ⋮ Extinction for a discrete competition system with the effect of toxic substances ⋮ Extinction in a Lotka-Volterra competitive system with impulse and the effect of toxic substances ⋮ Bifurcation analysis of a competitive system with general toxic production and delayed toxic effects

Cites Work

• Asymptotic behavior of the reaction-diffusion model of plankton allelopathy with nonlocal delays
• Delay differential equations: with applications in population dynamics
• Effects of toxicants on populations: a qualitative approach II. First order kinetics
• Extinction in two dimensional nonautonomous Lotka-Volterra systems with the effect of toxic substances
• Existence, uniqueness and stability analysis of allelopathic stimulatory phytoplankton model
• A two-species competitive system under the influence of toxic substances
• Harvesting of a prey-predator fishery in the presence of toxicity
• Impulsive perturbations in a periodic delay differential equation model of plankton allelopathy
• A delay differential equations model of plankton allelopathy
• On a nonlinear nonautonomous predator--prey model with diffusion and distributed delay
• Dynamic behaviors of a delay differential equation model of plankton allelopathy
• Extinction in periodic competitive stage-structured Lotka-Volterra model with the effects of toxic substances
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