Extinction for a discrete competition system with feedback controls

DOI10.1186/s13662-016-1066-1zbMath1422.37075OpenAlexW2569956303WikidataQ59527002 ScholiaQ59527002MaRDI QIDQ1628398

Shengbin Yu

Publication date: 4 December 2018

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-016-1066-1

zbMATH Keywords

competitionextinctiondiscretefeedback controls

Mathematics Subject Classification ID

Discrete-time control/observation systems (93C55) Population dynamics (general) (92D25) Dynamical systems in control (37N35)

Related Items

Stability and bifurcation analysis of two-species competitive model with Michaelis-Menten type harvesting in the first species, Existence of positive solutions for nonlocal problems with indefinite nonlinearity, New multiplicity of positive solutions for some class of nonlocal problems, Bernstein-type theorem for \(\phi\)-Laplacian, BIFURCATION ANALYSIS OF AN ALLELOPATHIC PHYTOPLANKTON MODEL, Dynamical analysis of a logistic model with impulsive Holling type-II harvesting, Stability analysis of a single species logistic model with Allee effect and feedback control, Global attractivity and extinction of a discrete competitive system with infinite delays and single feedback control, A stochastic Holling-type II predator-prey model with stage structure and refuge for prey, Dynamic behaviors of a competitive system with Beddington-DeAngelis functional response, Dynamics of a discrete allelopathic phytoplankton model with infinite delays and feedback controls, Spreading dynamics of a preferential information model with hesitation psychology on scale-free networks

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Almost sufficient and necessary conditions for permanence and extinction of nonautonomous discrete logistic systems with time-varying delays and feedback control.
• Extinction in two species nonautonomous nonlinear competitive system
• Extinction in two dimensional nonautonomous Lotka-Volterra systems with the effect of toxic substances
• Extinction in nonautonomous discrete Lotka-Volterra competitive system with pure delays and feedback controls
• Permanence and global stability of positive periodic solutions of a discrete competitive system
• Permanence and extinction in non-autonomous logistic system with random perturbation and feedback control
• Permanence and global attractivity of a discrete pollination mutualism in plant-pollinator system with feedback controls
• Extinction of a two species competitive system with nonlinear inter-inhibition terms and one toxin producing phytoplankton
• Extinction in two-species nonlinear discrete competitive system
• Positive almost periodic solutions for a discrete competitive system subject to feedback controls
• Extinction for a discrete competition system with the effect of toxic substances
• Extinction in a nonautonomous Lotka-Volterra competitive system with infinite delay and feedback controls
• Uniformly asymptotic stability of positive almost periodic solutions for a discrete competitive system
• Existence and global asymptotic stability of positive almost periodic solutions of a two-species competitive system
• Extinction in a discrete Lotka–Volterra competitive system with the effect of toxic substances and feedback controls