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Related Experiment Video

Updated: Jul 6, 2026

Continuous Instream Monitoring of Nutrients and Sediment in Agricultural Watersheds

Continuous Instream Monitoring of Nutrients and Sediment in Agricultural Watersheds

Published on: September 26, 2017

Continuous versus pulse harvesting for population models in constant and variable environment.

Elena Braverman¹, Reneeta Mamdani

¹Department of Mathematics and Statistics, University of Calgary, 2500 University Drive NW, Calgary, AB T2N 1N4, Canada. maelena@math.ucalgary.ca

Journal of Mathematical Biology

|March 19, 2008

Summary

Impulsive harvesting strategies in population models can be as effective as continuous harvesting but not superior. However, when harm is included in harvesting, impulsive methods become optimal and necessary for logistic and Gompertz growth models.

Related Experiment Videos

Last Updated: Jul 6, 2026

Continuous Instream Monitoring of Nutrients and Sediment in Agricultural Watersheds

Continuous Instream Monitoring of Nutrients and Sediment in Agricultural Watersheds

Published on: September 26, 2017

Area of Science:

Population dynamics
Mathematical biology
Ecological modeling

Background:

Population models are crucial for understanding species dynamics.
Harvesting strategies significantly impact population sustainability.
Both autonomous and nonautonomous models are used to study population dynamics.

Purpose of the Study:

To compare impulsive and continuous harvesting strategies in population models.
To introduce and analyze a model incorporating harm within harvesting events.
To determine the optimality and necessity of impulsive harvesting under specific conditions.

Main Methods:

Analysis of autonomous and nonautonomous population models.
Mathematical modeling of impulsive and continuous harvesting.
Inclusion of population harm in harvesting events.
Study of logistic and Gompertz growth laws.

Main Results:

Impulsive harvesting is found to be as effective as continuous harvesting, but not superior, in standard models.
When harm is integrated into harvesting, impulsive strategies become not only optimal but the sole viable option.
The study highlights the critical role of harm in determining harvesting strategy effectiveness.

Conclusions:

The effectiveness of impulsive harvesting is context-dependent.
Incorporating harm into harvesting models fundamentally changes optimal strategy selection.
Impulsive harvesting can be the only feasible approach when population harm is a factor.