Existence of positive periodic solutions for an impulsive semi-ratio-dependent predator-prey model with dispersion and time delays

DOI10.1016/j.amc.2009.10.032zbMath1194.34152OpenAlexW2060572331WikidataQ115598574 ScholiaQ115598574MaRDI QIDQ846441

Zhenguo Luo, Qianhong Zhang, Binxiang Dai

Publication date: 9 February 2010

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

Full work available at URL: https://doi.org/10.1016/j.amc.2009.10.032

zbMATH Keywords

periodic solutioncoincidence degree theoryimpulsive semi-ratio-dependent predator-prey system

Mathematics Subject Classification ID

Functional-differential equations with impulses (34K45) Population dynamics (general) (92D25) Applications of operator theory to differential and integral equations (47N20) Periodic solutions to functional-differential equations (34K13) Qualitative investigation and simulation of models involving functional-differential equations (34K60)

Related Items (7)

Uniform ultimate boundedness of solutions of predator-prey system with Michaelis-Menten functional response on time scales ⋮ Impulsive culling of a structured population on two patches ⋮ Positive periodic solutions for impulsive Gause-type predator-prey systems ⋮ Existence of positive periodic solutions for a predator-prey system of Holling type IV function response with mutual interference and impulsive effects ⋮ Multiple positive periodic solutions for functional differential equations with impulses and a parameter ⋮ ON PERIOD-<i>K</i> SOLUTION FOR A POPULATION SYSTEM WITH STATE-DEPENDENT IMPULSIVE EFFECT ⋮ Asymptotic behaviors of a delayed nonautonomous predator-prey system governed by difference equations

Cites Work

• Unnamed Item
• Unnamed Item
• Multiple periodic solutions of an impulsive predator-prey model with Holling-type IV functional response
• Existence of periodic solutions in predator-prey and competition dynamic systems
• Positive periodic solution for a semi-ratio-dependent predator-prey system with diffusion and time delays
• Existence and global attractivity of positive periodic solutions for impulsive predator-prey model with dispersion and time delays
• Persistence and global stability for nonautonomous predator-prey system with diffusion and time delay
• Coincidence degree, and nonlinear differential equations
• Periodic solution of a Lotka-Volterra predator-prey model with dispersion and time delays.
• The study of predator--prey system with defensive ability of prey and impulsive perturbations on the predator
• Dynamics of a class of nonautonomous semi-ratio-dependent predator--prey systems with functional responses
• Dynamic behaviors of the periodic Lotka-Volterra competing system with impulsive perturbations
• Periodicity in a delayed semi-ratio-dependent predator-prey system
• Periodic solutions for a semi-ratio-dependent predator--prey system with functional responses
• Periodic solution of a delayed ratio-dependent predator-prey model with monotonic functional response and impulse
• Exponential stability of the solutions of the initial value problem for systems with an impulse effect
• Persistence and global stability for two-species nonautonomous competition Lotka–Volterra patch-system with time delay

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