Optimal control of the Lotka–Volterra system: turnpike property and numerical simulations
نویسندگان
چکیده
منابع مشابه
Optimal control of the Lotka-Volterra system: turnpike property and numerical simulations.
The Lotka-Volterra model is a differential system of two coupled equations representing the interaction of two species: a prey one and a predator one. We formulate an optimal control problem adding the effect of hunting both species as the control variable. We analyse the optimal hunting problem paying special attention to the nature of the optimal state and control trajectories in long time in...
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Turnpike properties have been established long time ago in finite-dimensional optimal control problems arising in econometry. They refer to the fact that, under quite general assumptions, the optimal solutions of a given optimal control problem settled in large time consist approximately of three pieces, the first and the last of which being transient short-time arcs, and the middle piece being...
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ژورنال
عنوان ژورنال: Journal of Biological Dynamics
سال: 2016
ISSN: 1751-3758,1751-3766
DOI: 10.1080/17513758.2016.1226435