Sex Ratio of Lampreys Based on Logistic and Lotka-Volterra Model

Yiqiao Wang; Boyu Xiao; Xiangrui Zhi

doi:10.54097/m3eenc92

Authors

Yiqiao Wang
Boyu Xiao
Xiangrui Zhi

DOI:

https://doi.org/10.54097/m3eenc92

Keywords:

Logistic; Lotka-Volterra; Jacobian determinant discrimination.

Abstract

In this paper, we investigated the ecosystem impacts of changes in the sex ratio of the lampreys by means of a logistic population model and a Lotka-Volterra predator model. The results showed that the sex ratio of lampreys was closely related to predator scarcity, and that self-regulation of sex ratio promoted population growth but had a time lag with the number of predators. The Lotka-Volterra model was further improved to verify the ecosystem stability of the sea lamprey under different sex ratios. The study suggests that regulating sex ratios maintains ecosystem stability and provides insights into ecosystem interactions.

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