Ecological Modeling of Sex Ratio Dynamics and Its Impacts on Ecosystem Stability in Sevengill Eels

Kaiyu Lei

Keywords: Lotka-Volterra equation, Improved M. Gordon method, Sensitivity analysis

Abstract: Sex ratio dynamics play a crucial role in the population ecology of sevengill eels, influencing their reproductive success, ecological interactions, and long-term ecosystem stability. This study develops a series of ecological models to explore how variations in sex ratio impact population dynamics, resource competition, and trophic interactions within the marine ecosystem. By integrating the Lotka-Volterra equations and an improved M. Gordon method, we establish a mathematical framework to quantify the effects of sex ratio adjustments on species competition and ecosystem equilibrium. Sensitivity and robustness analyses are conducted to assess the stability of the proposed models under varying ecological conditions. Our results indicate that sex ratio shifts significantly influence population growth rates and predator-prey relationships, yet the ecosystem exhibits self-regulatory mechanisms that restore equilibrium over time. Additionally,we find that resource availability serves as a key factor driving sex ratio adaptations, enhancing species survival in competitive environments. The findings provide valuable insights into adaptive population strategies and contribute to a better understanding of ecological resilience in marine ecosystem.

Submission Number: 6