The Compartment Model Of The Material Flow Farming And Pastoral Ecosystem And Its Stability

Analyzing the flow of the material and energy in northern farming and pastoral area is a significant method to exam the structure and feature of the ecosystem. By analyzing the flow of the material and energy situation to figure out the characteristics of the material circulation in the ecosystem, so the researcher could understand the feature of the system, and this research is also an important guidance for the decision-makers to make better decision. In this paper, we established the compartment model as the method in Yangjizhai Village, Yanchi County, Wuzhong City, Ningxia Province. By analyzing the situation of material flow in different compartment, we got the result of the stability and sustainability in the model. Finally, we got the conclusion that the change of initial data could not disturb the ecosystem in current pattern and I/O situation.In order to understand whether the farming and pastoral ecosystem could develop sustainably, and to ensure that the ecosystem could keep stable in the long term, this paper choose to use varieties of method to study on this ecosystem, and also study on the stability and sustainability. Firstly, we did a research on the mode of production of the villager in that area. Secondly, we established a compartment model to describe the material flow in the area. Thirdly, we used Lyapunov stability theory, black-box model, the system return ratio and the eigenvalues in differential equations of compartment model to investigate the stability. Then find more feature of the ecosystem, so we could provide much more scientific solution to make decision for decision maker.According to the survey, we found that the crop production in Yangjizhai Village was at the low level and it changed a lot because of the climate. The villagers plant corn, potatoes and forage as main crop. And most of herders made money by growing up the lamp. The survey pointed out that animal husbandry could bring a better reward for villagers in recent years, so animal husbandry played an increasingly important role in the farming and pastoral ecosystem.Study on the material flow of different compartment of the farming and pastoral ecosystem by using method of compartment model. We established the differential equations of the ecosystem. According to Lyapunov linear system theory, when the real part of the characteristic value is all negative, it means the system is stable. When the system suffered the disturbance, every compartment would eventually become its own balance by only keep the I/O situation and current pattern of the production of the system.