广义Logistic模型的捕获优化问题

以王寿松所提出的广义Ｌｏｇｉｓｔｉｃ模型为基础，讨论单种群生物资源的捕获优化问题，分析了被开发生物种群的动力学性质。在单位捕获努力量假定下，以最大可持续捕获量为管理目标，确定了线性捕获下的最优捕获策略，得到了最优捕获努力量，最大可持续收获及相应的最优种群水平的显式表达式，包括著名的Ｓｃｈａｅｆｅｒ模型作为特例，推广了相应的结果。

Optimal Havesting Problem for Generalized Logistic Model

This paper is devoted to the study of the optimal harvesting problem for single population based on the generalized Logistic model proposed by Wang Shousong. First, we analyze the dynamical behaviour of the harvested population. Then under the catch-per-unit-effort hypothesis, we choose the maximum sustainable yield as the management objective, and investigate the optimal harvesting policies for the generalized Logistic model. Explicit expressions are obtained for the optimal havest effort that maximizes the sustainable yield, the corresponding optimal population level, and the maximum sustainable yield. Our results generalize the known results for Schaefer model in renewable resources management.