Free Growth and Diffusion of Water Hyacinth Based on Logistic-CA and Differential Equations

Abstract

This paper mainly studies the growth, diffusion and prevention of water hyacinth. First, the Logistic growth model was established. Nitrogen and phosphorus concentration, temperature and light were selected as the influencing factors to simulate the density growth curve of water hyacinth. It was found that the density of water hyacinth reached the environmental bearing capacity and became stable after 90 days. After that, we took a region as an example, regarded the water hyacinth as a cell, and established a logistic-ca model to simulate the diffusion process of water hyacinth. Finally, the spatial and temporal diffusion model of water hyacinth is established by using the differential equation to study the change of the concentration of water hyacinth under the rain with the spatial position.