engleski

Modeling the optimal strategy in fish production considering the damage caused by a cormorant

We consider a model of spawn rearing with the constant damage $H_0$ of the form [ frac{; ; dN}; ; {; ; dt}; ; =rN(1-frac{; ; N}; ; {; ; A}; ; )-H_0, qquad r, , A>0, ] and an exploitable model of spawn rearing of one fish species in a fish-pond with the damage caused by a cormorant which is of the following form: [ frac{; ; dN}; ; {; ; dt}; ; =rNleft( 1-frac{; ; N}; ; {; ; A}; ; ight)-H(N)-H_0, quad r, , A>0, ] where $N(t)$ is a quantity of fish in the moment $t$, $H(N)$ -- quantity of harvesting at state $N$ of the fish population and $H_0$ -- constant damage caused by cormorants. Model steady states, optimal harvesting strategy and the optimal parameters estimation problem will be analysed. The model will be tested by using empirical data obtained in the fish-pond D., Miholjac.

growth model; population model with harvesting

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