Far Eastern Mathematical Journal

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Harvest optimization for Rikker's population, when environment parameters limiting population growth change cyclically

E. V. Ashikhmina, Yu. G. Izrailsky, E. Ya. Frisman

2003, issue 1, P. 127–133

Abstract

In this paper the problem of optimal harvest from Rikker's population is solved provided that harvest rate is determined by population size and environment parameters limiting population growth change cyclically. It is shown, that for these populations the optimal harvest rate is determined by the amplitude of parameters variation, while the optimal harvest rate policy is to alternate years of intensive harvesting with the years of negligibly small harvesting

Keywords: optimal harvest, Rikker's population, numerical modeling.

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References

[1] U. U. Riker, Metody ocenki i interpretacii biologicheskix pokazatelej populyacij ryb, Pishhevaya prom-st', M., 1979, 137 s. [2] E. V. Ashixmina, E. I. Skaleckaya, E. Ya. Frisman, A. N. Kulikov, Matematicheskaya model' dinamiki velichiny zagotovok na primere lokal'noj populyacii man'chzhurskoj belki, Preprint № 23(53) IAPU DVNC AN SSSR, Vladivostok, 1981, 14 s. [3] E. V. Ashixmina, A. N. Kulikov, E. I. Skaleckaya, E. Ya. Frisman, Matematicheskoe modelirovanie dinamiki velichiny zagotovok lokal'noj populyacii man'chzhurskoj belki, Sciurus vulgaris mantchuricus, Zhurn. obshh. biologii, 43:5 (1982), 705–711. [4] E. Ya. Frisman, S. P. Luppov, E. V. Ashixmina, Matematicheskaya model' dinamiki chislennosti lokal'noj populyacii, podverzhennoj sezonnomu promyslu, Matematicheskoe modelirovanie v populyacionnoj e'kologii, DVNC AN SSSR, Vladivostok, 1985, 43–54. [5] E. V. Ashikhmina, E. Y. Frisman, E. Skaletskaya, A. N. Kulikov, Mathematical model for dynamics of the number of pelt products from the local population of mantchurian squirrels, Ecolog. Model., 30 (1985), 145–156.

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