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Conservation of a fishery through optimal taxation: a dynamic reaction model. (English) Zbl 1058.34060
A predator-prey fishery model is under consideration. The author analyses existence and stability of steady states. An optimal taxation policy on the basis of Pontryagin’s maximum principle is proposed.

MSC:
34C60 Qualitative investigation and simulation of ordinary differential equation models
92D40 Ecology
49K15 Optimality conditions for problems involving ordinary differential equations
34C05 Topological structure of integral curves, singular points, limit cycles of ordinary differential equations
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