Existence of positive periodic solution of periodic time-dependent predator-prey system with impulsive effects

DOI10.1007/s10114-004-0333-3zbMath1058.34051OpenAlexW2015522719WikidataQ115606170 ScholiaQ115606170MaRDI QIDQ1882483

Jing Hui, Lan-Sun Chen

Publication date: 1 October 2004

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-004-0333-3

zbMATH Keywords

periodic solutionpredator-prey systemimpulsive effects

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)

Related Items (5)

Dynamics of an impulsive predator-prey logistic population model with state-dependent ⋮ A periodic predator-prey-chain system with impulsive perturbation ⋮ Impulsive control strategy for a chemostat model with nutrient recycling and distributed time-delay ⋮ PULSE VACCINATION IN THE PERIODIC INFECTION RATE SIR EPIDEMIC MODEL ⋮ Periodic solutions of a nonautonomous plant-hare model with impulses

Cites Work

• Unnamed Item
• Unnamed Item
• A cell population model described by impulsive PDEs. -- Existence and numerical approximation
• Pulse vaccination strategy in the SIR epidemic model
• Invasion and chaos in a periodically pulsed mass-action chemostat
• A periodic prey-predator system
• Impulsive stabilization and applications to population growth models
• The periodic predator-prey Lotka-Volterra model
• Bifurcation, perturbation of simple eigenvalues, and linearized stability
• Differential equations: Stability, oscillations, time lags
• Some global results for nonlinear eigenvalue problems
• Bifurcation from simple eigenvalues
• Impulsive control of a Lotka-Volterra system

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