Tomato is a common food on the human table. Up to
now, the research on the growth and development model of tomato has been about
50 years. There are many researches on the main nutrients of tomato, such as
carbon and nitrogen, but few on the trace element zinc. In this paper, taking
plant nutrient C, N and Zn as variables, the differential equation model of C, N and Zn in tomato growth
and development was established. According to the research of tomato as a whole
and divided into root and leaf, the one-compartment and two-compartment models of tomato
growth and development were established. The model was analyzed by Matlab
program, and the existing experimental data was used to test the numerical
simulation results, which proves that the model conforms to the facts.
References
[1]
Zhang, F.Y., Liu, Y.C., Cai, W., et al. (2018) Effects of Water and Nitrogen Regulation on Tomato Growth and Yield in Solar Greenhouse. China Rural Water and Hydropower, 4, 1-5, 9. (In Chinese)
[2]
Spitters, C., Toussaint, H. and Goudriann, J. (1986) Separating the Diffuse and Component of Global Radiation and Its Implication for Modeling Canopy Photosynthesis Part I: Components of Incoming Radiatio. Agricultural and Forest Meteorology, 38, 217-229. https://doi.org/10.1016/0168-1923(86)90060-2
[3]
Heuvelink, E. (1996) Tomato Growth and Yield: Quantitative Analysis and Synthesis. Ph.D. Thesis, Wageningen Agriculture University, Wageningen.
[4]
Zhou, X.F., Shen, B. and Luo, Z.Y. (1997) Simulation Model of Tomato Growth and Development in Greenhouse and Harm of Cotton Bollworm. Chinese Journal of Research Ecology, 17, 303-310. (In Chinese)
[5]
Zhang, D.K. (1998) Theoretical Model for Predicting the Effect of Nitrogen Fertilizer on Vegetable Yield. Journal of Biomathematics, 13, 118-123. (In Chinese)
[6]
Wang, X.W. (2012) Differential Equation Model for Plant Growth. Journal of Lanzhou Polytechnic University, 19, 59-62. (In Chinese)
[7]
Ji, R.H., Li, X., Qi, L.J. and Wang, J.Q. (2014) Construction and Realization of Three-Dimensional Growth Model of Potted Tomato Root System. Journal of Drainage and Irrigation Machinery Engineering, 9, 795-801. (In Chinese)
[8]
Li, D.S. (2019) Differential Equation Modeling for Plant Growth and Development. Ph.D. Thesis, Yunnan Normal University, Kunming.
[9]
Zhang, L. (2020) Proportional Differential Equation Model of Carbon, Nitrogen and Potassium Requirements for Tomato Growth and Development with Influence of Audio Frequency. Ph.D. Thesis, Yunnan Normal University, Kunming.
[10]
Chatterjee, A., Jesus, A., Goyal, D., Sigdel, S., Cihacek, L., Farmaha, B., Jagadamma, S., Sharma, L. and Long, D. (2020) Temperature Sensitivity of Nitrogen Dynamics of Agricultural Soils of the United States. Open Journal of Soil Science, 10, 298-305. https://doi.org/10.4236/ojss.2020.107016
[11]
Obayomi, A., Ayinde, S. and Ogunmiloro, O. (2019) On Trigonometric Numerical Integrator for Solving First Order Ordinary Differential Equation. Journal of Applied Mathematics and Physics, 7, 2564-2578. https://doi.org/10.4236/jamp.2019.711175
[12]
Song, W.T., Zhang, S.G. and Huang, Z.D. (2003) Cultivation of Tomato Nutrient Solution with Deep Flow and Unlimited Growth (IV) Experimental Study on Cultivation of Tomato by Nutrient Solution with Dynamic Liquid Level. Chinese Agricultural Science Bulletin, 4, 92-95. (In Chinese)