The Impact of Biologically Adaptive Sex Ratio Variation in Lamprey Population on Ecosystem Stability: Based on Lotka-Volterra Model

Hanyi Zhao; Yuyao Chen; Danni Ma

doi:10.54097/9r3y3t88

Authors

Hanyi Zhao
Yuyao Chen
Danni Ma

DOI:

https://doi.org/10.54097/9r3y3t88

Keywords:

Lotka-Volterra Model, Adaptive Sex Ratio Variation, Lamprey Population, Dynamic Model.

Abstract

Lamprey has the characteristics of adaptive sex ratio variation and plays a complex role in the ecosystem. In order to study the impact of adaptive sex ratio variation on ecosystem stability, this paper establishes a differential equation group based on the Lotka-Volterra model, and uses the collected data to obtain unknown parameters. By solving these equations, it is found that the adaptive sex ratio variation of lamprey can regulate the imbalance of ecosystem. Then, the male and female lamprey populations were used as two variables. Based on the basic model and Fischer 's principle, an improved model was established. Considering the uncertainty of the ecosystem, two sets of data of high mortality and normal mortality were established. The results showed that the sex ratio of lamprey could optimize resource utilization. When resources are scarce and mortality increases, the sex ratio of lampreys becomes unbalanced, leading to the extinction of female fish.

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