Welcome to Francis Academic Press

Academic Journal of Mathematical Sciences, 2024, 5(2); doi: 10.25236/AJMS.2024.050212.

Differential Equation-Based Study on Sex Ratio and Ecosystem Interaction of Seven Gill Eel


Shiluan Zhang

Corresponding Author:
Shiluan Zhang

College of Data Science, Jiaxing University, Jiaxing, China


Focusing on the key trait of sex ratio in the lampreys, this study constructed an eco-dynamic model to examine the effects of multiple organisms on the lampreys. The biomass changes of lampreys, parasitic fish and competing organisms were simulated under different resource conditions, revealing the effects of sex ratio on the ecosystem and its own population biomass. Through the blocked growth model and competition model, we explored how the resource changes affect the sex ratio of lampreys and how the interactions between different organisms affect the stability of the ecosystem. The experimental results showed that the models were reasonable and provided an important reference for understanding the population dynamics of the lampreys and the evolution of the ecosystem.


Differential Equations, Ecological Dynamics Model, Competition Models

Cite This Paper

Shiluan Zhang. Differential Equation-Based Study on Sex Ratio and Ecosystem Interaction of Seven Gill Eel. Academic Journal of Mathematical Sciences (2024) Vol. 5, Issue 2: 84-90. https://doi.org/10.25236/AJMS.2024.050212.


[1] Docker M F, Beamish F W H, Yasmin T, et al. The lamprey gonad[J]. Lampreys: Biology, Conservation and Control: Volume 2, 2019: 1-186.

[2] Rodríguez‐Muñcoz R, Nicieza A G, Braña F. Effects of temperature on developmental performance, survival and growth of sea lamprey embryos[J]. Journal of Fish Biology, 2001, 58(2): 475-486.

[3] Weaver D M, Coghlan Jr S M, Zydlewski J. The influence of nutrients from carcasses of sea lamprey (Petromyzon marinus) on larval growth and spawner abundance[J]. Fishery Bulletin, 2018, 116(2).

[4] Davey A J H, Jellyman D J. Sex determination in freshwater eels and management options for manipulation of sex[J]. Reviews in fish biology and fisheries, 2005, 15: 37-52.

[5] Ricciardi A, MacIsaac H J. Impacts of biological invasions on freshwater ecosystems[J]. Fifty years of invasion ecology: the legacy of Charles Elton, 2011, 1: 211-224.

[6] Lennox R J, Bravener G A, Lin H Y, et al. Potential changes to the biology and challenges to the management of invasive sea lamprey Petromyzon marinus in the Laurentian Great Lakes due to climate change[J]. Global change biology, 2020, 26(3): 1118-1137.