Positive periodic solution for a two-species ratio-dependent predator-prey system with time delay and impulse

DOI10.1016/j.jmaa.2005.09.022zbMath1111.34051OpenAlexW2011168448WikidataQ115570459 ScholiaQ115570459MaRDI QIDQ854089

Gang Li, Xiangsen Liu, Guilie Luo

Publication date: 7 December 2006

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2005.09.022

zbMATH Keywords

periodic solutionspredator-preydelay differential equations with impulses

Mathematics Subject Classification ID

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

Related Items (10)

Periodicity in a generalized semi-ratio-dependent predator-prey system with time delays and impulses ⋮ Positive periodic solution for a nonautonomous periodic model of population with time delays and impulses ⋮ The dynamics of an impulsive delay predator-prey model with variable coefficients ⋮ Positive periodic solutions for neutral delay ratio-dependent predator-prey model with Holling type III functional response ⋮ Positive periodic solutions for a neutral delay ratio-dependent predator-prey model with a Holling type II functional response ⋮ Permanence and periodic solutions of a delayed predator-prey system with impulse ⋮ Filippov ratio-dependent prey-predator model with threshold policy control ⋮ PERMANENCE AND GLOBAL STABILITY IN AN IMPULSIVE LOTKA–VOLTERRA N-SPECIES COMPETITIVE SYSTEM WITH BOTH DISCRETE DELAYS AND CONTINUOUS DELAYS ⋮ A MONOTONE-ITERATIVE METHOD FOR FINDING PERIODIC SOLUTION OF AN IMPULSIVE DIFFERENTIAL EQUATIONS AND APPLICATION ⋮ ALMOST PERIODICITY IN AN IMPULSIVE LOGISTIC EQUATION WITH INFINITE DELAY

Cites Work

• Unnamed Item
• Ordinary differential equations with nonlinear boundary conditions
• Periodic solutions for a kind of second order differential equation with multiple deviating arguments.
• Positive periodic solutions of a delayed model in population
• Periodic solutions of delayed ratio-dependent predator--prey models with monotonic or nonmonotonic functional responses
• Multiple periodic solutions of delayed predator--prey systems with type IV functional responses
• Periodic solutions of periodic delay Lotka-Volterra equations and systems

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