Modelling Of Differential Equations Of The Growth Of Rice In Its Tillering Stage Under The Influence Of Audio Control

In the 19 th century,the emergence of chemical agriculture caused serious problems such as the decline of soil's fertility,the decline of agricultural products' quality,and environmental pollution,which was not conducive to the long-term development of human beings.In recent years,the rise of physical agriculture can solve these problems effectively.The plant audio control technology is a new type of physical agriculture technology that is green and environmentally friendly.With the continuous growth of the global population,the demand for food has also been remained high.As one of the world's major food crops,rice has very significant significance for the life of human beings if it can produce high yields.This dissertation puts forward a new problem of applying plant audio frequency control technology to study the growth of rice.By establishing first-and second-order differential equation models,the growth of rice in its tillering stage is predicted.The models are solved,analyzed qualitatively,and simulated numerically by using matlab programming.The following results are obtained:(1)The growth of rice in the tillering stage conforms to the S-type growth curve;(2)After adding the audio control,it is found by analyzing the models that the tillering situation of rice changes after the rice is stimulated by different sonic frequencies;(3)The frequency of the adding audio control is not as large as possible.The most suitable frequency for promoting the growth of rice tiller is 400 Hz.The 4000 Hz frequency of the audio control will inhibit the tiller growth of rice and destroy the cells of rice;(4)The second-order differential equation model established in this dissertation can simulates the actual tiller growth of rice better and more accurately than that of the first-order differential equation model.Based on the above results,the conclusion of this dissertation is that the plant audio frequency control technology has useful impacts on the tiller growth of rice,and can be used reasonably to achieve the effect of increasing rice yield.