Optimum control of closed ecological systems: mathematical aspects

Area of Science:

• Ecological Engineering
• Systems Biology
• Environmental Science

Background:

• Effective control of closed ecological systems (CES) is hindered by inadequate system descriptions and external factors introducing forecast uncertainties.
• Maintaining a stable stationary state is crucial for the advancement and reliable operation of CES.
• Understanding disturbances to the stationary state is essential for accurate CES modeling and management.

Purpose of the Study:

• To highlight the importance of stationary state analysis in closed ecological systems (CES).
• To identify and analyze factors that disturb the stationary state of CES.
• To present a method for determining the optimal set of chemical elements for CES calculations.

Main Methods:

• Analysis of factors impacting CES stability.
• Mathematical modeling of CES stationary states.
• Development of an approach for selecting key chemical elements for balance calculations.

Main Results:

• Identification of key disturbing factors affecting CES stationary states.
• Quantification of the contribution of these factors to CES state formation.
• Presentation of a method for defining the minimum set of chemical elements for CES stationary state description.

Conclusions:

• Accurate CES control necessitates a thorough understanding of system dynamics and external influences.
• Stationary state analysis is fundamental for the development and prediction of CES behavior.
• The proposed approach simplifies CES modeling by focusing on the essential chemical element balance.