Applied Mathematics and Mechanics

, Volume 24, Issue 6, pp 727–737 | Cite as

Dynamic model of crop growth system and numerical simulation of crop growth process under the multi-environment external force action

  • Li Zi-zhen
  • Wang Wan-xiong
  • Xu Cai-lin


According to the biomechanic theory and method, the dynamic mechanism of crop growth under the external force action of multi-environment factors (light, temperature, soil and nutrients etc.) was comprehensively explored. Continuous-time Markov (CTM) approach was adopted to build the dynamic model of the crop growth system and the simulated numerical method. The growth rate responses to the variation of the external force and the change of biomass saturation value were studied. The crop grew in the semiarid area was taken as an example to carry out the numerical simulation analysis, therefore the results provide the quantity basis for the field management. Comparing the dynamic model with the other plant growth model, the superiority of the former is that it displays multi-dimension of resource utilization by means of combining macroscopic with microcosmic and reveals the process of resource transition. The simulation method of crop growth system is advanced and manipulated. A real simulation result is well identical with field observational results.

Key words

external force of environment crop growth dynamic model numerical simulation 

Chinese Library Classification


2000 MR Subject Classification

92C80 65C40 


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Copyright information

© Editorial Committee of Applied Mathematics and Mechanics 2003

Authors and Affiliations

  • Li Zi-zhen
    • 1
  • Wang Wan-xiong
    • 2
  • Xu Cai-lin
    • 2
  1. 1.Department of MathematicsLanzhou UniversityLanzhouP. R. China
  2. 2.State Key Laboratory of Arid AgroecologyLanzhou UniversityLanzhouP. R. China

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