Global analysis of an impulsive delayed Lotka-Volterra competition system
From MaRDI portal
Publication:718468
DOI10.1016/j.cnsns.2010.07.014zbMath1221.34206OpenAlexW2055781887MaRDI QIDQ718468
Publication date: 23 September 2011
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cnsns.2010.07.014
equilibriumglobal asymptotic stabilityglobal exponential stabilitycompetition systemfeedback controls
Functional-differential equations with impulses (34K45) Population dynamics (general) (92D25) Stationary solutions of functional-differential equations (34K21)
Related Items (16)
The existence of almost periodic solution: via coincidence degree theory ⋮ Existence of four periodic solutions for a generalized delayed ratio-dependent predator-prey system ⋮ Hopf bifurcation in a delayed predator-prey system with asymmetric functional response and additional food ⋮ Spatial Periodic Solutions in a Delayed Diffusive Predator–Prey Model with Herd Behavior ⋮ Multiplicity of solutions for nonlinear second order impulsive differential equations with linear derivative dependence via variational methods ⋮ Global asymptotic stability of an almost periodic nonlinear ecological model ⋮ PERIODIC SOLUTION OF A HIGHER DIMENSIONAL ECOLOGICAL SYSTEM ⋮ Permanence in multispecies nonautonomous Lotka-Volterra competitive systems with delays and impulses ⋮ Existence and stability of periodic solution to delayed nonlinear differential equations ⋮ Periodic solutions of a stage-structured plant-hare model with toxin-determined functional responses ⋮ Multiple periodic solutions of an impulsive population system with delays ⋮ A note on Gronwall's inequality on time scales ⋮ Hopf bifurcation in a delayed food-limited model with feedback control ⋮ Robust stochastic stability of uncertain discrete-time impulsive Markovian jump delay systems with multiplicative noises ⋮ Stability analysis in a nonlinear ecological model ⋮ Bifurcation Analysis and Application for Impulsive Systems with Delayed Impulses
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Global asymptotic stability in Volterra's population systems
- A different consideration about the globally asymptotically stable solution of the periodic n-competing species problem
- Harmless delays for uniform persistence
- Variational approach to impulsive differential equations
- Bifurcation analysis for a regulated logistic growth model
- Periodic solutions for a Lotka-Volterra mutualism system with several delays
- New comparison results for impulsive integro-differential equations and applications
- A new analytical method for the linearization of dynamic equation on measure chains
- Anti-periodic boundary value problems for first order impulsive functional differential equations
- Boundary value problems for a class of impulsive functional equations
- Complexiton solutions to integrable equations
- Uniform asymptotic stability and global stability of impulsive infinite delay differential equations
- Dynamic of a non-autonomous predator-prey system with infinite delay and diffusion
- Retracted: Stability and Hopf bifurcations in a delayed Leslie-Gower predator-prey system
- Stability properties for Hopfield neural networks with delays and impulsive perturbations
- Periodic Lotka-Volterra competition equations
- Convergence and ultimate bounds of solutions of the nonautonomous Volterra-Lotka competition equations
- Two species competition in a periodic environment
- Competition systems with periodic coefficients: A geometric approach
- Discrete delay, distributed delay and stability switches
- Feedback regulation of logistic growth
- Permanence and periodic solution in competitive system with feedback controls
- Global dynamics of the periodic logistic system with periodic impulsive perturbations.
- Periodicity and stability in periodic \(n\)-species Lotka-Volterra competition system with feedback controls and deviating arguments.
- Harmless delays and global attractivity for nonautonomous predator-prey system with dispersion
- Global periodic solutions of a generalized \(n\)-species Gilpin-Ayala competition model
- Existence and global attractivity of positive periodic solution of periodic single-species impulsive Lotka-Volterra systems
- The dynamics of an infectious disease in a population with birth pulses
- Existence and global attractivity of positive periodic solution for an impulsive Lasota--Wazewska model
- Existence and global attractivity of an almost periodic ecological model
- Sufficient conditions for the existence positive periodic solutions of a class of neutral delay models with feedback control
- The effect of delays on the permanence for Lotka-Volterra systems
- The periodic \(n\)-species Gilpin--Ayala competition system with impulsive effect
- Prediction of SARS epidemic by BP neural networks with online prediction strategy
- Existence and global attractivity of a periodic solution for an impulsive delay differential equation with Allee effect
- An application of topological degree to the periodic competing species problem
- COMPLEXITY OF A DELAYED PREDATOR–PREY MODEL WITH IMPULSIVE HARVEST AND HOLLING TYPE II FUNCTIONAL RESPONSE
- New Conditions on the Existence and Stability of Periodic Solution in Lotka–Volterra's Population System
- Global asymptotic stability in a periodic Lotka-Volterra system
- Stability of predation models with time delay
- On almost Periodic Solutions of the Competing Species Problems
- Exchange of equilibria in two species Lotka-Volterra competition models
- On the Nonautonomous Volterra-Lotka Competition Equations
- On a Hartman linearization theorem for a class of ODE with impulse effect
- Comparison principle for impulsive differential equations with variable times and stability theory
- Extremal solutions, comparison principle and stability criteria for impulsive differential equations with variable times
- Impulsive periodic solutions of first-order singular differential equations
- Quasi-uniformly asymptotic stability and existence of almost periodic solutions of difference equations with applications in population dynamic systemsThis work was supported by the National natural science foundation of China under grant (No.10671127) and Shanghai outstanding discipline leader project (No. 06XD14034) and Shanghai municipal education commission No. 06DZ002.
- Uniform asymptotic stability of impulsive delay differential equations
This page was built for publication: Global analysis of an impulsive delayed Lotka-Volterra competition system