摘要
种群动力系统的最优控制问题是控制理论中的一个重要的研究领域,它对种群的发展和控制提供了非常重要的参考价值。考虑到加权总规模和周期对种群发展的影响,本文给出了一类带年龄结构和周期的种群系统数学模型,其生死率依赖于个体年龄和加权总规模,借助不动点原理确立了系统的适定性,应用极大化序列法证明了最优解的存在性,得到了最优解的必要性。
The optimal control problem of the population dynamics system is an important research field in the control theory, which provides a very important reference value for the development and the control of the population. Considering the effect of the weighted total scale and period on the population development, this paper presents a mathematical model of population system with age structure and period, which the mortality depends on the individual age and weighted total scale, then, the system is established by means of fixed point principle, finally, the existence of the optimal solution is proved by the maximal sequence method, and the necessity of the optimal solution is obtained.
出处
《洛阳理工学院学报（自然科学版）》
2017年第4期90-93,共4页
Journal of Luoyang Institute of Science and Technology：Natural Science Edition
