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温度和湿度影响下的真菌竞争作用研究
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Abstract:
本文研究真菌间的竞争作用，首先在真菌种群Logistic模型的基础上，添加温度、湿度等环境因素的影响及其他真菌种群的抑制作用，针对真菌的数量增长速率建立微分方程模型。其次，将两种真菌的数据利用SPSS数学软件进行回归分析，得出真菌在独立生长时两种真菌的生长速率表达式。将两个表达式代入模型后求解，即可得出这两种真菌在相同环境的竞争下真菌数量变化的表达式。对此模型进行适当应用，可以在工业、农业等方面合理推测多种真菌共同作用时各真菌的生长情况。最后，本文选择两种分布较为广泛的真菌，研究其数量随时间的变化规律，得到真菌之间相互作用的长短期动态描述。
When studying the competition among fungi, this paper firstly established a differential equation model for the growth rate of fungi by adding the influence of environmental factors such as temperature and humidity and the inhibition of other fungi populations on the basis of the Logistic model of fungi population. Secondly, the data of the two kinds of fungi were analyzed by using SPSS mathematical software for regression analysis, and the expressions of the growth rates of the two kinds of fungi were obtained when the fungi were growing independently. By substituting the two expressions into the model and solving them, we can get the expression of the change of the number of fungi when the two fungi compete in the same environment. The model can be used in industry and agriculture to predict the growth of various fungi. Finally, this paper selects two kinds of fungi which are widely distributed, and studies the change rule of their quantity with time, so as to obtain the long-term and short-term dynamic description of the interaction between fungi.
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