The dynamics of an impulsive delay predator-prey model with stage structure and Beddington-type functional response

DOI10.1016/j.nonrwa.2010.01.004zbMath1218.34099OpenAlexW2046432690MaRDI QIDQ708513

Yuanfu Shao, Binxiang Dai

Publication date: 14 October 2010

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2010.01.004

zbMATH Keywords

delayextinctionpermanenceattractivityimpulsive effect

Mathematics Subject Classification ID

Asymptotic theory of functional-differential equations (34K25) Functional-differential equations with impulses (34K45) Population dynamics (general) (92D25) Stability theory of functional-differential equations (34K20) Periodic solutions to functional-differential equations (34K13) Qualitative investigation and simulation of models involving functional-differential equations (34K60)

Related Items (18)

Permanence of a stage-structured predator-prey system with impulsive stocking prey and harvesting predator ⋮ An impulsive prey-predator system with stage-structure and Holling II functional response ⋮ The dynamics of a delayed Gompertz model with Holling IV function response and impulsive effects at different moment on the prey ⋮ The dynamics of an impulsive predator-prey system with stage structure and Holling type III functional response ⋮ Homoclinic bifurcation for a general state-dependent Kolmogorov type predator-prey model with harvesting ⋮ Dynamical analysis of a stage structured predator-prey system with impulsive diffusion and generic functional response ⋮ The dynamics of a stage-structured predator-prey system with impulsive effect and Holling mass defence ⋮ Globally asymptotical stability and periodicity for a nonautonomous two-species system with diffusion and impulses ⋮ Two generalized predator-prey models for integrated pest management with stage structure and disease in the prey population ⋮ Dynamic analysis of an impulsive predator-prey model with disease in prey and Ivlev-type functional response ⋮ Analysis of an impulsive one-predator and two-prey system with stage-structure and generalized functional response ⋮ Multiple positive periodic solutions for functional differential equations with impulses and a parameter ⋮ 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 ⋮ STABILITY AND HOPF BIFURCATION OF A MODIFIED DELAY PREDATOR-PREY MODEL WITH STAGE STRUCTURE ⋮ Dynamic of a delayed predator-prey model with birth pulse and impulsive harvesting in a polluted environment ⋮ Dynamics of a diffusive predator-prey model with modified Leslie-Gower schemes and additive Allee effect ⋮ Global stability of a stage-structured predator-prey model with stochastic perturbation

Cites Work

• Unnamed Item
• Unnamed Item
• Dynamics of a Ivlev-type predator-prey system with constant rate harvesting
• The dynamics of a Beddington-type system with impulsive control strategy
• Practical stabilization of control systems with impulse effects
• Two-parameter bifurcation in a predator-prey system of Ivlev type
• Complex dynamics of Holling type II Lotka--Volterra predator--prey system with impulsive perturbations on the predator.
• The prey-dependent consumption two-prey one-predator models with stage structure for the predator and impulsive effects
• Chaotic behavior of a Watt-type predator-prey system with impulsive control strategy
• A Holling II functional response food chain model with impulsive perturbations
• Analysis of a predator-prey model with Holling II functional response concerning impulsive control strategy
• The Effects of Impulsive Toxicant Input on a Population in a Polluted Environment
• Periodic solutions of periodic delay Lotka-Volterra equations and systems
• Optimal harvesting and stability for two-species competitive system with stage structure

This page was built for publication: The dynamics of an impulsive delay predator-prey model with stage structure and Beddington-type functional response