Existence and global attractivity of periodic solution of a model in population dynamics
type: Item
instance of: scholarly article
title: Existence and global attractivity of periodic solution of a model in population dynamics
zbMATH Open document ID: 0886.45005
DOI: 10.1007/BF02029072
author: Miaolian Liang
author: Peixuan Weng
published in: Acta Mathematicae Applicatae Sinica. English Series
publication date: 1998-05-06T00:00:00Z
review text: This paper is concerned with existence and global attractivity of a nonnegative periodic solution of the integro-differential equation \[ \frac{dH(t)}{dt}=- \gamma(t) H(t)+ \alpha(t) \int_0^\infty K(s) H(t-s)e^{-\beta(t) H(t-s)} ds, \qquad t\geq 0. \] In particular, when the coefficients of the equation are constants, the result obtained reveals the threshold property of the equation.
reviewed by: Sebastian Aniţa
Mathematics Subject Classification ID: 45J05
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 45M15
Mathematics Subject Classification ID: 45M20
zbMATH DE Number: 1062668
zbMATH Keywords: population dynamics
zbMATH Keywords: global attractivity
zbMATH Keywords: nonnegative periodic solution
zbMATH Keywords: integro-differential equation
zbMATH Keywords: threshold property
MaRDI profile type: Publication
cites work: Integral equations and stability of feedback systems
cites work: Q4726655
cites work: Q5520199
cites work: Global asymptotic stability in a periodic integrodifferential system
full work available at URL: https://doi.org/10.1007/bf02029072
OpenAlex ID: W2030645089
description: scientific article; zbMATH DE number 1062668