Analysis of a predator-prey model with impulsive diffusion and releasing on predator population

DOI10.1186/s13662-016-0834-2zbMath1418.92156OpenAlexW2336284116WikidataQ59467534 ScholiaQ59467534MaRDI QIDQ1796863

Pairote Sattayatham, Airen Zhou, Jian-Jun Jiao

Publication date: 17 October 2018

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-016-0834-2

zbMATH Keywords

extinctionpermanencepredator-prey modelimpulsive releasingimpulsive diffusion

Mathematics Subject Classification ID

Ordinary differential equations with impulses (34A37) Population dynamics (general) (92D25) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (1)

An application of the impulsive CSOH model for managing squirrels in the coconut farm

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Analysis of a stage-structured predator-prey system with birth pulse and impulsive harvesting at different moments
• Stability of periodic solutions for an SIS model with pulse vaccination
• Persistence and extinction in single-species reaction-diffusion models
• Dynamics of a stage-structured predator-prey model with prey impulsively diffusing between two patches
• Mathematical models of population interactions with dispersal. II: Differential survival in a change of habitat
• Global stability of single-species diffusion Volterra models with continuous time delays
• Graphical stability, enrichment, and pest control by a natural enemy
• Complex dynamics of Holling type II Lotka--Volterra predator--prey system with impulsive perturbations on the predator.
• Theoretical examination of the pulse vaccination policy in the SIR epidemic model.
• Uniform persistence and global attractivity for nonautonomous competitive systems with dispersion
• A stage-structured Holling mass defence predator-prey model with impulsive perturbations on predators
• A delayed stage-structured predator-prey model with impulsive stocking on prey and continuous harvesting on predator
• An appropriate pest management \(SI\) model with biological and chemical control concern
• Pulse vaccination in SIRS epidemic model with non-monotonic incidence rate
• A single species model with impulsive diffusion
• PERMANENCE AND GLOBAL STABILITY IN AN IMPULSIVE LOTKA–VOLTERRA N-SPECIES COMPETITIVE SYSTEM WITH BOTH DISCRETE DELAYS AND CONTINUOUS DELAYS
• GLOBAL ATTRACTIVITY OF A STAGE-STRUCTURE VARIABLE COEFFICIENTS PREDATOR-PREY SYSTEM WITH TIME DELAY AND IMPULSIVE PERTURBATIONS ON PREDATORS
• Predator survival versus extinction as a function of dispersal in a predator–prey model with patchy environment
• Global Asymptotic Stability of Lotka–Volterra Diffusion Models with Continuous Time Delay
• Global stability and predator dynamics in a model of prey dispersal in a patchy environment
• A two-component model of host-parasitoid interactions: Determination of the size of inundative releases of parasitoids in biological pest control
• Permanence and extinction in logistic and Lotka-Volterra systems with diffusion

This page was built for publication: Analysis of a predator-prey model with impulsive diffusion and releasing on predator population