A Study on the Impact of Lamprey’s Adaptive Gender Ratio Changes on Ecosystem Stability Based on Logical Growth and Predator-Prey Models

Abstract

This paper aims to assess the ecological ramifications of lampreys' capacity to regulate population sex ratios in response to resource availability, exploring both the advantages and disadvantages associated with this unique ability. Initially, an enhanced logistic population growth model, derived from the Lotka-Volterra model, was developed to examine the broader ecological implications of lamprey influence. This involved integrating a logistic growth model into the traditional Lotka-Volterra framework to simulate the inhibitory impact of intrapopulation competition on population growth. The phase diagram with asymptotically stable fixed points further illustrates the advantage of lampreys using sex ratios to maintain population stability. Notably, distinctions in the survivability and resource-consuming capacity between male and female lampreys were considered by incorporating varying parameter values. The study posits that extreme sex ratios could lead to lamprey population extinction, while a balanced sex ratio correlates with a significant reduction in lamprey prey organisms within a larger ecological context.