论文标题
数学建模分析和真菌多样性增长的优化
Mathematical Modeling Analysis and Optimization of Fungal Diversity Growth
论文作者
论文摘要
本文研究了在各种真菌的情况下，在给定体积中，真菌与温度，湿度，真菌伸长率和真菌密度之间的分解速率之间的关系，并建立了一系列模型来描述不同州真菌的分解。由于在这种情况下给出了土壤的体积，因此后两个特征可以归因于真菌种群数量对分解速率的影响。基于逻辑模型，建立了人口数量和时间之间的关系，最后获得了稳态中的真菌数量，通过Lotka-volterra模型分析了不同真菌之间的不同种类之间的相互作用，并获得了不同环境中各种真菌组合的分解速率。在研究了一个和两个案例之后，我们可以从一个到另一个案例，由N+1个真菌种群组成的社区组成的社区将相似。研究结束后，我们将收集的数据取代到该模型中，发现由两种真菌组成的真菌群落的地面分解或木制纤维的分解速率低于单一真菌作为同种物质的分解速率。我们发现，在温暖和潮湿的分解速率环境中的真菌最高，大气的变化导致一些真菌种群的生长速率降低，也有一些会增加，这与真菌的性质有关。我们分析了环境因素的影响，即温度和湿度在模型上。
This paper studied the relationship between the decomposition rate of fungi and temperature, humidity, fungus elongation, moisture tolerance and fungus density in a given volume in the presence of a variety of fungi, and established a series of models to describe the decomposition of fungi in different states. Since the volume of soil was given in this case, the latter two characteristics could be attributed to the influence of the number of fungal population on the decomposition rate. Based on the Logistic model, the relationship between the number of population and time was established, and finally the number of fungi in the steady state was obtained The interaction between different species of fungi was analyzed by Lotka-Volterra model, and the decomposition rate of various fungal combinations in different environments was obtained. After studying the one and two cases, we can extrapher from one to the other, and the community consisting of n fungal populations will be similar to the community consisting of n+1 fungal populations. After the study, we substituted the collected data into the model and found that the fungal community composed of two kinds of fungi had a lower decomposition rate of ground decomposition or wooden fiber than that of a single kind of fungus for the same kind of substance. We found that the fungus in warm and humid environment of decomposition rate is highest, the change of the atmospheric cause some fungal population growth rate decreases, there are also some will increase, which is associated with the nature of fungi.We analyzed the influence of environmental factors, namely temperature and humidity, on the model.
