Murphy L F, Smith S J
Department of Mathematics, Oregon State University, Corvallis 97331.
Math Biosci. 1991 May;104(2):259-70. doi: 10.1016/0025-5564(91)90064-p.
Here we investigate the maximum sustainable yield problem for an age-structured population whose dynamics are density dependent. We use the nonlinear version of the McKendrick model of population dynamics that was introduced by Gurtin and MacCamy and do not constrain the magnitude of the harvesting term. We show that this problem has an optimal solution and that the optimum is attainable by a bimodal harvesting policy. This result is consistent with the results obtained by Grey for the nonlinear Leslie model.
在此，我们研究一个年龄结构种群的最大可持续产量问题，该种群动态是密度依赖的。我们使用由古尔廷（Gurtin）和麦卡米（MacCamy）引入的种群动态的麦肯德里克（McKendrick）模型的非线性版本，并且不限制捕捞项的大小。我们表明这个问题有一个最优解，并且最优解可通过双峰捕捞策略实现。这个结果与格雷（Grey）针对非线性莱斯利（Leslie）模型所获得的结果一致。
