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
General Biochemistry, Genetics and Molecular Biology
General Immunology and Microbiology
General Agricultural and Biological Sciences
Applied Mathematics

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10.1016/0025-5564(79)90064-6

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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.",

author = "Fred Brauer",

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N2 - 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.

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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VL - 45

SP - 295

EP - 311

JO - Mathematical Biosciences

JF - Mathematical Biosciences

IS - 3-4

ER -

Characteristic return times for harvested population models with time lag

Abstract

ASJC Scopus subject areas

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