中文摘要：

本文研究一类个体尺度具有弹性增长行为的种群模型的平衡态收获问题,种群加权总规模对个体生死率的影响各异.运用Ascoli-Arzela定理确立了最优解的存在性,借助针状变分法导出极值原理.最后通过对转换函数平衡态水平的细致分析,证明了最优策略的唯一性.

英文摘要：

This article is concerned with an optimal harvesting problem in steady states of a sizestructured population model with elastic growth, which displays a different effect of weighted population size on mortality and fertility of individuals. Existence of optimal policies are established by Ascoli-Arzela＇s theorem, and a maximum principle is derived by means of variations of needle forms. Finally, a detailed analysis of the equilibria level for the switching function leads to the uniqueness of optimal strategies.