Optimal Periodic Harvesting Strategy for the General Autonomous System of Single Specie

Zai Le He; Xiang Qing Zhao; Hai Ling Lu

doi:10.4028/www.scientific.net/AMR.518-523.237

Paper Titles

Immobilized Methods and Application of Immobilized Saccharomyces cerevisiae Cells
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Influence of Inoculum to Substrate Ratio on Solid Acidogenic Digestion with Pig Manure and Maize Straw
p.223

Isolation and Identification of a PCBs-Degrading Strain
p.229

Microbial Effect on Arsenic and Plumbum Release in Acid Coal-Mine Drainage
p.233

Optimal Periodic Harvesting Strategy for the General Autonomous System of Single Specie
p.237

Study of Air Anion Concentration in Various Water Statuses
p.241

Study of Effect on Soil Salinity and Respiration Intensity by the Straw Compost
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Synergistic Inhibition Effect of Sodium Oleate and Sodium Vanadate on the Corrosion of Pure Aluminum in NaCl Solution
p.249

Synthesis and Biological Activities of Chalcones Derived from Nitroacetophenone
p.255

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Optimal Periodic Harvesting Strategy for the General Autonomous System of Single Specie

Abstract:

We study a optimal control problem-optimal periodic harvesting strategy for the general autonomous system of single specie. Suppose the growth rate function f(x) is C^2, x* satisfies f'(x*)=0. We proved that if f"(x*)<0，then x* is the optimal trajectory, otherwise, x* is not the optimal trajectory.