Density dependent harvesting of a logistic population in a slowly varying environment
DOI:
https://doi.org/10.21914/anziamj.v51i0.2271Keywords:
multi-scaling, harvesting, slow variationAbstract
We apply a multiscale method to construct general analytic approximations for the solution of a harvested logistic system, where the system parameters vary slowly in time. Such approximations are a useful alternative to numerical solutions and are applicable to a range of parameter values. We consider two situations: subcritical harvesting, where the population survives; and supercritical harvesting, where it is driven to extinction. These approximations give excellent agreement with the numerical solutions of test cases. References- J. R. Beddington and R. M. May. Harvesting natural populations in a randomly fluctuating environment. Science, 197:463--465, 1977.
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Published
2010-02-26
Issue
Section
Proceedings Engineering Mathematics and Applications Conference