Geodesic
Sustainable Exploitation of Biological Populations
International Journal of Applied Mathematics and Computer Science, Tome 10 (2000) no. 1, pp. 123-129

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For a system of nonlinear difference equations that models the dynamics of exploited biological populations, a locally optimal periodic solutionis constructed. If this solution is unstable, a stabilizing feedback in the harvesting is introduced. The method is applied to an age-structured population model in fishery as well as to a host-parasitoid system for which the number of hosts and the number of introduced parasitoids shouldbe minimized.
Keywords: optimal harvesting, system of nonlinear difference equations, fishery, host-parasitoid system, stabilizing feedback
Mots-clés : rybołówstwo, równanie różnicowe 
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     title = {Sustainable {Exploitation} of {Biological} {Populations}},
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Grasman, J. Sustainable Exploitation of Biological Populations. International Journal of Applied Mathematics and Computer Science, Tome 10 (2000) no. 1, pp. 123-129. http://geodesic.mathdoc.fr/item/IJAMCS_2000_10_1_a6/