@inproceedings{d881985664bf4796b116fe0ddb0c9380,
title = "Mathematical modeling of population interaction influenced by changes in sex ratio of sea lampreys",
abstract = "The variable sex ratio of sea lampreys will affect the interaction between the populations in the ecosystem. This paper establishes a statistical model of the change of sea lampreys{\textquoteright} sex ratio and a differential equation model of various population interactions to describe this effect, and analyzes it based on Lyapunov's qualitative theory. Based on an example in the Great Lakes region of North America, we verify the proposed mathematical model and analyze its sensitivity. The results showed that the sex ratio of the population can be increased by reducing the available resources of young lampreys, and it is feasible to control the number of lampreys in this way. Qualitative theory shows that the differential equation model has no stable equilibrium point, reflecting that the numbers of various populations will change dynamically when the sex ratio of lampreys changes. The mathematical model established by us also has good stability.",
keywords = "Differential equation model, Lyapunov qualitative theory, Sea lampreys, Statistical model, Variable sex ratio",
author = "Maoyang Wang and Lutang Wang and Chenyang Guo and Hongzhou Wang",
note = "Publisher Copyright: {\textcopyright} 2024 SPIE.; 4rth International Conference on Applied Mathematics, Modelling, and Intelligent Computing, CAMMIC 2024 ; Conference date: 19-04-2024 Through 21-04-2024",
year = "2024",
doi = "10.1117/12.3035255",
language = "English",
series = "Proceedings of SPIE - The International Society for Optical Engineering",
publisher = "SPIE",
editor = "Obaidat, {Mohammad S.} and Mahalle, {Parikshit N.}",
booktitle = "Fourth International Conference on Applied Mathematics, Modelling, and Intelligent Computing, CAMMIC 2024",
address = "United States",
}