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2 International Journal of Applied Mathematics and Computer Science

2 2000

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Sustainable Exploitation of Biological Populations

Grasman J.

International Journal of Applied Mathematics and Computer Science

2000

Vol. 10, no 1

123-129

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.

Optimal Harvesting of the Nonlinear Population Dynamics

Anita S.

International Journal of Applied Mathematics and Computer Science

2000

Vol. 10, no 1

113-122

This paper deals with an optimal harvesting problem for a nonlinear age-dependent population dynamics. The existence and uniqueness of a positive solution for the model considered is demonstrated. The existence of an optimal harvesting effort and the convergence of a certain fractional step scheme are investigated. Necessary optimality conditions for some approximating problems are established.