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Academic Journal of Mathematical Sciences, 2024, 5(2); doi: 10.25236/AJMS.2024.050209.

Analysis of the Life of Dandelion Based on Biophysical Models


Ge Heming

Corresponding Author:
Ge Heming

Beijing No.4 High School, Beijing, China


As a plant with fast reproduction speed and strong survival ability, dandelion has important biological value and medicinal significance.  However, its characteristics also lead to potential crowding effects on species in different regions. Therefore, quantitative modeling of the reproduction and survival of dandelions is of great research significance. In Task1: In order to predict the spread of dandelions over time, the propagation dynamic model is established considering the effect of seed inertia and vertical wind. Afterwards, through symbol calculation and numerical simulation, the probability based results of dandelion seed propagation were simulated under different time, temperature, and climate conditions. In Task2: To define the impact factor of dandelion as an invasive specie accurately, we comprehensively considered biological characteristics, environmental factors, species interactions, etc. Before establishing the model, we select three observation stations and collect the data of temperature and humidity from 2018 to 2022. The definition of IF is based on Logistic model, which considering inter-specific interaction and drought stress. After calculating by Runge-Kutta Methods, we notice that drought when precipitation should be abundant will lead to decrease of biomass obviously, and some plants can gradually return to the steady state, while some will tend to become extinct. Moreover, two typical invasive species, three species for comparison and six physiological indicators of each are confirmed and collected, for the use of analysis and simulation. Then, we conduct in-depth analysis of the environment again, to understand the phenomenon mentioned above better, and pollution from water, air are also included. In addition, sensitivity analysis of the impact factor of species between different ages and environments shows that, our model is robust and can be explained in ecology reasonably, which means it can be applied to complex areas. Finally, strengths and weaknesses of the model are discussed and conclusions are summarized briefly.


Dandelion, Spread, Logistic model, Species, Interaction

Cite This Paper

Ge Heming. Analysis of the Life of Dandelion Based on Biophysical Models. Academic Journal of Mathematical Sciences (2024) Vol. 5, Issue 2: 51-67. https://doi.org/10.25236/AJMS.2024.050209.


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