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.

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.

[1] James M Bullock, Laura Mallada González, Riin Tamme, Lars Götzenberger, Steven M White, Meelis Pärtel, and Danny AP Hooftman. A synthesis of empirical plant dispersalkernels. Journal of Ecology, 105(1):6–19, 2017.

[2] Trakhtenbrot A，Katual GG，Nathan R. 2014. Mechanistic modelling of seed dispersal by wind over hilly terrain. EcologicalModelling,274:29–40, 2014.

[3] Juan Manuel Morales and Tomás A Carlo. The effects of plant distribution and frugivoredensity on the scale and shape of dispersal kernels. Ecology, 87(6):1489–1496, 2006.

[4] Ann K Sakai, Fred W Allendorf, Jodie S Holt, David M Lodge, Jane Molofsky, Kimberly A With, Syndallas Baughman, Robert J Cabin, Joel E Cohen, Norman C Ellstrand, et al. The population biology of invasive species. Annual review of ecology and systematics, 32(1):305–332, 2001.

[5] Preeti N Jain and Sunil K Surve. Modeling resource constrained solo applications using logistic growth model. In 2017 International Conference on Advances in Computing, Communication and Control (ICAC3), pages 1–8. IEEE, 2017.

[6] Petr Pyšek and David M Richardson. Invasive species, environmental change and management, and health. Annual review of environment and resources, 35:25–55, 2010.

[7] Matthias C Wichmann, Matt J Alexander, Merel B Soons, Stephen Galsworthy, Laura Dunne, Robert Gould, Christina Fairfax, Marc Niggemann, Rosie S Hails, and James M Bullock. Human-mediated dispersal of seeds over long distances. Proceedings of the Royal Society B: Biological Sciences, 276(1656):523–532, 2009.

[8] Oliver Tackenberg. Modeling long-distance dispersal of plant diaspores by wind. Ecological Monographs, 73(2):173–189, 2003.

[9] S Joseph Wright, Ana Trakhtenbrot,GilBohrer, Matteo Detto, Gabriel GKatul, Nir Horvitz, Helene C Muller-Landau, Frank A Jones, and Ran Nathan. Understanding strategies for seed dispersal by wind under contrasting atmospheric conditions. Proceedings of the National Academy of Sciences, 105(49):19084–19089, 2008.