Dynamics of a structured population on two patches
type: Item
instance of: scholarly article
title: Dynamics of a structured population on two patches
zbMATH Open document ID: 1222.34100
author: Alan J. Terry
published in: Journal of Mathematical Analysis and Applications
publication date: 2011-03-14T00:00:00Z
review text: This paper deals with a population dynamics model for a single species whose life cycle consists of two stages and which inhabits two patches. Migration takes place between the patches in both directions. The model has been proposed by other authors and consists of a system of delayed differential equations describing the dynamics of the adult stage on the two patches. In this work, it is assumed that the patches are not identical, and the author considers three kinds of birth functions: linear, Ricker and Allee. Sufficient conditions on the parameters are established so that extinction occurs on both patches or the species remains endemic on both patches. Also, when the birth function on both patches is of Allee type, an Allee effect holds. The paper ends with some numerical simulations to illustrate the theoretical results.
reviewed by: Eva Sánchez
Mathematics Subject Classification ID: 34K60
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 34K25
zbMATH DE Number: 5865631
zbMATH Keywords: spatially structured population
zbMATH Keywords: extinction
zbMATH Keywords: Allee effect
MaRDI profile type: Publication
full work available at URL: j.jmaa.2011.01.018
OpenAlex ID: W2040059337
cites work: Structured population on two patches: modeling dispersal and delay
cites work: Global dynamics and Hopf bifurcation of a structured population model
cites work: Bifurcation analysis in an age-structured model of single species living in two identical patches
cites work: Bifurcation analysis in an age-structured model of a single species living in two identical patches
cites work: Q4723599
cites work: A structured population model and a related functional differential equation: Global attractors and uniform persistence
cites work: Delay differential equations: with applications in population dynamics
cites work: Impulsive adult culling of a tropical pest with a stage-structured life cycle
cites work: Pulse vaccination strategies in a metapopulation SIR model
cites work: Rich dynamics in a non-local population model over three patches
cites work: Q4834372
cites work: Q3135402
cites work: Differential equations: Stability, oscillations, time lags
cites work: Q4003237
cites work: Q2716352
cites work: Impulsive culling of a structured population on two patches
cites work: Domain-decomposition method for the global dynamics of delay differential equations with unimodal feedback
cites work: Perverse consequences of infrequently culling a pest
cites work: Q4261342
DOI: 10.1016/J.JMAA.2011.01.018
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description: scientific article; zbMATH DE number 5865631