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Oscillation and Global Attractivity in Stage-Structured Population Models

Published online by Cambridge University Press:  20 November 2018

Yulin Cao  and
H. I. Freedman
Yulin Cao
Affiliation:
Department of Mathematics University of Georgia Athens, Georgia 30602 U.S.A
H. I. Freedman
Affiliation:
Applied Mathematics Institute Department of Mathematics University of Alberta Edmonton, Alberta T6G 2G1
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Abstract

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Stage-structured models of population growth have been considered in the constant delay and state-dependent delay cases, when modeled by retarded functional differential equations. In the first case we settle a conjecture posed by Aiello and Freedman [1] by showing the existence of oscillatory solutions. In the second case, we show that under suitable criteria, all positive solutions tend to a global attractor.

Keywords

34K1534K2092D40
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 36 , Issue 2 , 01 June 1993 , pp. 129 - 138
Copyright
Copyright © Canadian Mathematical Society 1993

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