Optimal harvesting for nonlinear size-structured population dynamics

Optimal harvesting for nonlinear size-structured population dynamics
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DOI:
10.1016/j.jmaa.2008.01.010
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发表时间:
2008-06
影响因子:
1.3
通讯作者:
N. Kato
N. Kato
中科院分区:
数学3区
文献类型:
--
作者:
N. Kato

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考虑具有可分离死亡率和非线性生育率的规模结构种群模型的收获问题。我们将该模型转化为方程组,并证明了唯一解的存在性。我们还建立了在给定时间间隔内使总收获量最大化的最优收获率的存在性。
A harvesting problem is considered for a size structured population model with separable mortality rate and nonlinear fertility rate. We transform the model to a system of equations and show the existence of a unique solution. We also establish the existence of an optimal harvesting rate which maximizes the total harvest in a given time interval.