Characteristic return times for harvested population models with time lag

Fred Brauer

doi:10.1016/0025-5564(79)90064-6

Characteristic return times for harvested population models with time lag

Fred Brauer

Research output: Contribution to journal › Article › peer-review

10 Scopus citations

Abstract

The characteristic return time for a population model measures the time required for the system to return to equilibrium if perturbed. We show that for a one-dimensional model with a time lag an increase in the harvest rate (for constant-yield harvesting) or the harvest effort (for constant-effort harvesting) may produce a decrease in the characteristic return time. This depends on the nature of the model and the size of the time lag, and may give a means of testing the validity of models experimentally.

Original language	English (US)
Pages (from-to)	295-311
Number of pages	17
Journal	Mathematical Biosciences
Volume	45
Issue number	3-4
DOIs	https://doi.org/10.1016/0025-5564(79)90064-6
State	Published - Aug 1979
Externally published	Yes

ASJC Scopus subject areas

Statistics and Probability
Modeling and Simulation
Biochemistry, Genetics and Molecular Biology(all)
Immunology and Microbiology(all)
Agricultural and Biological Sciences(all)
Applied Mathematics

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abstract = "The characteristic return time for a population model measures the time required for the system to return to equilibrium if perturbed. We show that for a one-dimensional model with a time lag an increase in the harvest rate (for constant-yield harvesting) or the harvest effort (for constant-effort harvesting) may produce a decrease in the characteristic return time. This depends on the nature of the model and the size of the time lag, and may give a means of testing the validity of models experimentally.",

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AB - The characteristic return time for a population model measures the time required for the system to return to equilibrium if perturbed. We show that for a one-dimensional model with a time lag an increase in the harvest rate (for constant-yield harvesting) or the harvest effort (for constant-effort harvesting) may produce a decrease in the characteristic return time. This depends on the nature of the model and the size of the time lag, and may give a means of testing the validity of models experimentally.

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JO - Mathematical Biosciences

JF - Mathematical Biosciences

SN - 0025-5564

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Characteristic return times for harvested population models with time lag

Abstract

ASJC Scopus subject areas

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