Permanence and stability of solutions for almost periodic prey-predator model with impulsive effects

DOI10.1007/s12346-017-0247-yzbMath1402.34055OpenAlexW2735297312WikidataQ115601504 ScholiaQ115601504MaRDI QIDQ1617227

Wen Wang, Liu Yang, Hui Zhou

Publication date: 7 November 2018

Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12346-017-0247-y

zbMATH Keywords

prey-predator modelalmost periodic solutionsimpulsiveuniformly asymptotic stability

Mathematics Subject Classification ID

Ordinary differential equations with impulses (34A37) Population dynamics (general) (92D25) Stability of solutions to ordinary differential equations (34D20) Applications of operator theory to differential and integral equations (47N20) Qualitative investigation and simulation of ordinary differential equation models (34C60) Asymptotic properties of solutions to ordinary differential equations (34D05) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27)

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Cites Work

• Unnamed Item
• Unnamed Item
• Diffusive KPP equations with free boundaries in time almost periodic environments. II: Spreading speeds and semi-wave solutions.
• Attractors for second order lattice systems with almost periodic symbols in weighted spaces
• Periodic solutions for a stochastic non-autonomous Holling-Tanner predator-prey system with impulses
• Permanence and global attractivity of a periodic predator-prey system with mutual interference and impulses
• Positive periodic solutions of neutral predator-prey model with Beddington-DeAngelis functional response
• Almost periodic sequence solution of a discrete Hassell-Varley predator-prey system with feedback control
• Existence and global attractivity of positive periodic solution to a Lotka-Volterra model
• Almost periodic solutions of a discrete almost periodic logistic equation
• Existence and exponential stability of positive almost periodic solutions for a model of hematopoiesis
• Almost periodic differential equations
• Existence of positive periodic solutions for a neutral delay predator-prey model with Hassell-Varley type functional response and impulse
• Stability and delays in a predator-prey system
• Periodic solutions of a neutral impulsive predator-prey model with Beddington-DeAngelis functional response with delays
• Multiple positive periodic solutions for a generalized predator-prey system with exploited terms
• Permanence and global stability of nonautonomous Lotka-Volterra system with predator-prey and deviating arguments
• COMPLEXITY OF A DELAYED PREDATOR–PREY MODEL WITH IMPULSIVE HARVEST AND HOLLING TYPE II FUNCTIONAL RESPONSE
• Positive almost periodic solution for impulsive Nicholson's blowflies model with multiple linear harvesting terms

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