The dynamics of an impulsive one-prey multi-predators system with delay and Holling-type II functional response

DOI10.1016/j.amc.2010.07.042zbMath1200.92044OpenAlexW2048493910WikidataQ115598564 ScholiaQ115598564MaRDI QIDQ606796

Binxiang Dai, Yuanfu Shao, Zhenguo Luo

Publication date: 18 November 2010

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

Full work available at URL: https://doi.org/10.1016/j.amc.2010.07.042

zbMATH Keywords

delayextinctionpermanenceattractivityimpulsive effect

Mathematics Subject Classification ID

Probabilistic models, generic numerical methods in probability and statistics (65C20) Dynamical systems in biology (37N25) Functional-differential equations with impulses (34K45) Ecology (92D40)

Related Items (10)

Dynamical analysis of a stage structured predator-prey system with impulsive diffusion and generic functional response ⋮ Dynamical analysis of almost periodic solution for a multispecies predator-prey model with mutual interference and time delays ⋮ Dynamic analysis of an impulsive predator-prey model with disease in prey and Ivlev-type functional response ⋮ A delayed impulsive food chain system with prey refuge and mutual inference of predator ⋮ An impulsive three-species model with square root functional response and mutual interference of predator ⋮ The dynamic behaviors of one-predator two-prey system with mutual interference and impulsive control ⋮ Impulsive control strategy for a nonautonomous food-chain system with multiple delays ⋮ Dynamic analysis of an impulsive differential equation with time-varying delays. ⋮ Global attractivity of positive periodic solution for a delayed predator-prey system with diffusion and impulses ⋮ STABILITY ANALYSIS OF TIME DELAYED FRACTIONAL ORDER PREDATOR-PREY SYSTEM WITH CROWLEY-MARTIN FUNCTIONAL RESPONSE

Cites Work

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• Existence and bifurcation of stable equilibrium in two-prey, one-predator communities
• Dynamics of a two-prey one-predator system with Watt-type functional response and impulsive control strategy
• Complicated dynamics of a predator-prey system with Watt-type functional response and impulsive control strategy
• Practical stabilization of control systems with impulse effects
• Ordinary differential equations with nonlinear boundary conditions
• Complex dynamics of Holling type II Lotka--Volterra predator--prey system with impulsive perturbations on the predator.
• Existence of positive periodic solutions of a neutral delay Lotka-Volterra system with impulses
• Existence and global attractivity of positive periodic solution for an impulsive Lasota--Wazewska model
• Extinction and permanence of one-prey multi-predators of Holling type II function response system with impulsive biological control
• The dynamics of an impulsive delay predator-prey model with variable coefficients
• Existence and global attractivity of positive periodic solutions for a generalized predator-prey system with time delay
• Global attractivity of a positive periodic solution for a nonautonomous stage structured population dynamics with time delay and diffusion
• Dynamic complexities of a predator-prey model with generalized Holling type III functional response and impulsive effects
• The properties of a stochastic model for the predator-prey type of interaction between two species
• The Effects of Impulsive Toxicant Input on a Population in a Polluted Environment
• The existence of a periodic solution for a generalized prey-predator system with delay

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