Coexistence for an almost periodic predator-prey model with intermittent predation driven by discontinuous prey dispersal
type: Item
instance of: scholarly article
title: Coexistence for an almost periodic predator-prey model with intermittent predation driven by discontinuous prey dispersal
zbMATH Open document ID: 1397.92585
DOI: 10.1155/2017/7037245
author: Yantao Luo
author: Long Zhang
author: Zhidong Teng
author: Tingting Zheng
published in: Discrete Dynamics in Nature and Society
publication date: 2018-09-27T00:00:00Z
review text: Summary: An almost periodic predator-prey model with intermittent predation and prey discontinuous dispersal is studied in this paper, which differs from the classical continuous and impulsive dispersal predator-prey models. The intermittent predation behavior of the predator species only happens in the channels between two patches where the discontinuous migration movement of the prey species occurs. Using analytic approaches and comparison theorems of the impulsive differential equations, sufficient criteria on the boundedness, permanence, and coexistence for this system are established. Finally, numerical simulations demonstrate that, for an intermittent predator-prey model, both the intermittent predation and intrinsic growth rates of the prey and predator species can greatly impact the permanence, extinction, and coexistence of the population.
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 92B25
zbMATH DE Number: 6944836
zbMATH Keywords: periodic predator-prey model
zbMATH Keywords: intermittent predation
zbMATH Keywords: discontinuous prey dispersal
Wikidata QID: Q115522030
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2017/7037245
OpenAlex ID: W2774346751
cites work: PERMANENCE IN A PERIODIC PREDATOR–PREY SYSTEM WITH PREY DISPERSAL AND PREDATOR DENSITY-INDEPENDENT
cites work: The influence of dispersal on a predator-prey system with two habitats
cites work: Harmless delays and global attractivity for nonautonomous predator-prey system with dispersion
cites work: Invasion generates periodic traveling waves (wavetrains) in predator-prey models with nonlocal dispersal
cites work: Permanence and extinction of periodic predator--prey systems in a patchy environment with delay
cites work: Q5741149
cites work: Nonautonomous Lotka-Volterra systems with delays
cites work: Existence and global stability of positive periodic solutions of a predator-prey system with delays
cites work: Dynamics of the predator-prey models on the two-patch fragmented habitat with dispersal
cites work: Q4392063
cites work: Periodic solutions for a delayed predator-prey model of prey dispersal in two-patch environ\-ments
cites work: Periodic solution of a Lotka-Volterra predator-prey model with dispersion and time delays.
cites work: A delayed predator–prey system with impulsive diffusion between two patches
cites work: Q4325523
cites work: Asymptotic stability of an \(N\)-dimensional impulsive competitive system
cites work: Permanence and global stability for nonautonomous \(N\)-species Lotka-Volterra competitive system with impulses
cites work: The existence of periodic solutions of the \(n\)-species Lotka-Volterra competition systems with impulsive
cites work: Permanence for general nonautonomous impulsive population systems of functional differential equations and its applications
cites work: Single species models with logistic growth and dissymmetric impulse dispersal
cites work: Survival analysis for a periodic predator-prey model with prey impulsively unilateral diffusion in two patches
cites work: Analysis of a delayed predator-prey system with impulsive diffusion between two patches
cites work: The dynamical behavior of a predator-prey system with Gompertz growth function and impulsive dispersal of prey between two patches
cites work: Intermittent dispersal population model with almost period parameters and dispersal delays
cites work: Q3995625
cites work: Delay differential equations: with applications in population dynamics
Recommended article: Q3131469
Recommended article: Persistence and periodic solutions for predator-prey model with dispersal
Recommended article: Q3512812
Recommended article: Q3191943
Recommended article: A note on the existence of periodic solutions in discrete predator-prey models
Recommended article: Almost periodic solutions of prey-predator discrete models with delay
Recommended article: Q3196127
Recommended article: On almost periodicity of delayed predator-prey model with mutual interference and discontinuous harvesting policies
Recommended article: Q5432906
Recommended article: Predator-prey models with almost periodic coefficients
description: scientific article; zbMATH DE number 6944836