Ordinary Differential Equation Model For The Problem Of Growth And Development Of Plant Based On Tomato

Vegetables are the daily food of human beings and are related to the survival andhealth of human beings.An important basis for increasing the yield and quality ofvegetables is the growth and development of plants.The establishment of effectivemodels for the growth and development of plant has broad prospects.It is useful for notonly simulating and interpreting the growth and development of plant,but alsopredicting and regulating the growing status of plant.In recent years,the establisheddifferential equation models of vegetables involve mainly the growth and developmentof vegetables in certain period or the development of an organ of vegetables.Noresearch works of has been done for describing the growth and development of plant intheir life.In this dissertation,by taking the nutrients required by plants as variables,differentialequations models are established to characterize the dynamic process of growth anddevelopment of plant.The tomato is taken as an example to simulate the growth anddevelopment curve of tomato from its flowering fruiting to harvesting period.Theconcrete works are given as follows:Firstly,based on the known studies,the single-and two-compartment models ofgrowth and development plant are improved.The defects of infinite growth anddevelopment of plants in the model are thus solved.Secondly,the differential equation model for depicting the flowering and fruitingperiod of plants is simplified.It is assumed that plants have an "intermediate organs" with function of accumulation and distribution of dry matter.Based on this new idea,athree-compartment model is established.It is capable of depicting accurately the growthand development of plants when tomato is taken as an example.Finally,a function of nitrogen utility is added to the three-compartment model so asto characterize the different states of growth and development of plant under differentnitrogen conditions.According to the relative growth curve of roots and leaves of thethree-compartment model,a method is present for controlling the nitrogen intelligentlythe growth of roots and leaves of tomato and predicting its yields during harvestingperiod of tomato.