A time-delay model of single-species growth with stage structure

A single-species growth model with stage structure consisting of immature and mature stages is developed using a discrete time delay. It is shown that under suitable hypotheses there exists a globally asymptotically stable positive equilibrium. Questions concerning oscillation and nonoscillation of...

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Bibliographic Details
Published in:Mathematical biosciences 1990-10, Vol.101 (2), p.139-153
Main Authors: Aiello, Walter G., Freedman, H.I.
Format: Article
Language:English
Subjects:
Animals
Anthropology. Demography
Biological and medical sciences
Growth
Human physiology applied to population studies and life conditions. Human ecophysiology
Mathematics
Medical sciences
Models, Biological
Time Factors
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Summary:A single-species growth model with stage structure consisting of immature and mature stages is developed using a discrete time delay. It is shown that under suitable hypotheses there exists a globally asymptotically stable positive equilibrium. Questions concerning oscillation and nonoscillation of solutions are addressed analytically and numerically. The effect of the delay on the populations at equilibrium is also considered.
ISSN:0025-5564
1879-3134
DOI:10.1016/0025-5564(90)90019-U