A periodic predator-prey-chain system with impulsive perturbation

DOI10.1016/j.cam.2008.02.015zbMath1159.34327OpenAlexW2000187947WikidataQ115581111 ScholiaQ115581111MaRDI QIDQ2378236

Lingzhen Dong, Lan-Sun Chen

Publication date: 7 January 2009

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

Full work available at URL: https://doi.org/10.1016/j.cam.2008.02.015

zbMATH Keywords

bifurcationpositive periodic solutionimpulsive perturbationnoncritical solutionpredator-prey chain

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Ordinary differential equations with impulses (34A37) Bifurcation theory for ordinary differential equations (34C23) Population dynamics (general) (92D25) Qualitative investigation and simulation of ordinary differential equation models (34C60)

Related Items (6)

The periodic solutions for general periodic impulsive population systems of functional differential equations and its applications ⋮ Partial extinction, permanence and global attractivity in nonautonomous \(n\)-species Lotka-Volterra competitive systems with impulses ⋮ Complex dynamics of Beddington-Deangelis-type predator-prey model with nonlinear impulsive control ⋮ Permanence for general nonautonomous impulsive population systems of functional differential equations and its applications ⋮ Complex dynamics of a delayed stage-structured predator-prey model with impulsive effect ⋮ Dynamic analysis of an impulsively controlled predator-prey model with Holling type IV functional response

Cites Work

• Two species competition in a periodic environment
• Predator-prey models in periodically fluctuating environments
• Existence of positive periodic solution of periodic time-dependent predator-prey system with impulsive effects
• Some global results for nonlinear eigenvalue problems
• Periodic solution for a two-species nonautonomous competition Lotka-Volterra patch system with time delay
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