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Zbl 1050.92055
Samanta, G.P.; Manna, Debasis; Maiti, Alakes
Bioeconomic modelling of a three-species fishery with switching effect. (English)
[J] J. Appl. Math. Comput. 12, No. 1-2, 219-231 (2003). ISSN 1598-5865; ISSN 1865-2085/e

The authors study the problem of combined harvesting of a system involving one predator and two prey species fishery where the predator feeds more intensively on the more abundant species. They give a mathematical formulation for the optimal harvest policy and obtain its solution in the equilibrium case by using Pontryagin's maximum principle. They also discuss dynamic optimization of the harvest policy and explain biological and bioeconomic interpretations of the results associated with the optimal equilibrium solution.
[Jihong Dou (Xian)]

MSC 2000:: *92D40 Ecology
49N90 Applications of optimal control and differential games
91B76 Environmental economics
34D20 Lyapunov stability of ODE

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Zentralblatt MATH Berlin [Germany]