Abstract:
This paper is devoted to the optimal control of mixed (stationary and periodic impulse) harvesting of a renewable resource distributed on the Earth's surface. Examples of such a resource are biological populations, including viruses, chemical contaminants, dust particles, and the like. It is proved that on an infinite planning horizon, there exists an admissible control ensuring the maximum of time-averaged harvesting.
Keywords:the Kolmogorov–Petrovskii–Piskunov–Fisher equations, second-order parabolic equations, semilinear equations on a sphere, weak solutions, stabilization, optimal control.
Presented by the member of Editorial Board:A. G. Kushner
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