论文标题
通过障碍理论对相互联系的食品生产系统的可持续性分析
Sustainability Analysis of Interconnected Food Production Systems via Theory of Barriers
论文作者
论文摘要
受控环境农业（CEA）用于有效的粮食生产。通过使用一种系统的产品和副产品，可以通过互连不同的CEA系统（例如植物和昆虫幼虫或鱼类和幼虫）来进一步提高效率。这些互连系统定义了一个可以通过相互作用物种模型来描述的整体系统。有必要确定系统参数（例如初始物种浓度，收获率，饲料质量等），以免资源耗尽。对于由Lotka-volterra方程建模的与相互作用物种的系统，基于设定的方法基于障碍理论的最新结果，以确切确切确定所谓的可允许集（也称为生存能力内核）和最大的稳健良好的积极不变集。使用基于幼虫鱼的生产系统的示例，显示了获得特殊轨迹的步骤，即可允许集的边界。这种可接受的集合用于防止CEA中该物种的下层和过度。此外，陈述了系统参数的条件，以确保这些轨迹的存在。
Controlled environment agriculture (CEA) is used for efficient food production. Efficiency can be increased further by interconnecting different CEA systems (e.g. plants and insect larvae or fish and larvae), using products and by-products of one system in the other. These interconnected systems define an overall system that can be described by models of interacting species. It is necessary to identify system parameters (e.g. initial species concentration, harvest rate, feed quality, etc.) such that the resources are not exhausted. For such systems with interacting species, modelled by the Lotka-Volterra equations, a set-based approach based on the recent results of the theory of barriers to exactly determine the so-called admissible set (also known as viability kernel) and the maximal robust positively invariant set is presented. Using an example of a larvae-fish based production system, steps to obtain special trajectories which are the boundaries of the admissible set are shown. This admissible set is used to prevent the under and over population of the species in the CEA. Furthermore, conditions of the system parameters are stated, such that the existence of these trajectories can be guaranteed.
