摘要
在本文中,首先建立了在自然状态下番茄生长发育的碳氮钾需求比例的微分方程模型,数值模拟结果符合番茄生长的试验数据;然后,进一步给出含有声频影响作用的番茄生长发育的碳氮钾需求比例的微分方程模型,数值结果表明:1) 适当频率的声波处理可加快番茄的生长速度,达到早熟。当声波频率在2200 HZ时,可提前6天采摘番茄;2) 适当频率的声波处理能促进番茄的光合作用和番茄的品质提升。特别是,1000 HZ、2200 HZ和3300 HZ的声波处理组的番茄胞间碳、氮、钾含量浓度有所升高,其中以2200 HZ的声波处理促进作用最为明显,但是,当频率超过5500 HZ时,对番茄生长起抑制作用。因此,合理地利用植物声频控制技术,必能达到设施番茄早熟、提高果实品质的效果。
In this paper, an ordinary differential equation model of the proportion of carbon, nitrogen and potassium demand for tomato growth and development in natural state is established firstly. The result of numerical simulation of the model is consistent with the experimental data of tomato growth. Then, the ordinary differential equation model of the proportion of carbon, nitrogen and potassium demand for tomato growth and development with the effect of sound frequency is given. The numerical results show that the appropriate frequency of sound wave treatment can accelerate the growth of tomato and achieve early maturity. When the sound frequency is 2200 Hz, tomato could be picked 6 days ahead of time. Appropriate frequency of acoustic treatment could promote the photosynthesis and quality of tomato. In particular, the concentration of intercellular carbon, nitrogen, and potassium content of tomato increases in the treatment groups of 1000 Hz, 2200 Hz and 3300 Hz. Among them, the effect of sound wave treatment at 2200 Hz is the most obvious. However, when the frequency is higher than 5500 Hz, the growth of tomato inhibits. Therefore, reasonable utilization of plant sound control should achieve early maturity of tomato facilities and improve the fruit quality.
出处
《应用数学进展》
2020年第11期2017-2028,共12页
Advances in Applied Mathematics
关键词
番茄
光合作用
声频控制
植物生长微分方程模型
Tomato
Photosynthesis
Sound Control
Ordinary Differential Equation Model of Plant Growth
