International Journal of Science, Engineering and TechnologyAuthors: Dr. M. Poornachander Rao, Assistant Professor
Abstract: Mathematical modeling plays a crucial role in understanding complex plant physiological processes such as photosynthesis, transpiration, nutrient transport, growth kinetics, and stomatal regulation. The present study develops a comprehensive mathematical framework to analyze major physiological mechanisms in plants using nonlinear differential equations and numerical simulations. The proposed model incorporates photosynthetic carbon assimilation, water transport, nutrient diffusion, chlorophyll dynamics, and environmental stress factors including temperature, light intensity, and soil moisture. The governing equations are formulated using conservation laws and physiological transport principles. Numerical simulations are performed to examine the influence of environmental and biochemical parameters on plant growth and productivity. The results reveal that photosynthetic efficiency increases with moderate light intensity and carbon dioxide concentration, whereas excessive temperature and water stress significantly reduce growth rates. Comparative analysis demonstrates that the proposed model predicts plant physiological behaviour with high accuracy relative to existing biological models. The study provides valuable insights for precision agriculture, crop optimization, climate adaptation, and sustainable agricultural systems.
DOI: http://doi.org/10.5281/zenodo.20584530
