Effect of Sex Ratio in Lamprey on Resource Availability and Ecosystem

Abstract. Lamprey populations significantly affect ecosystems and can adjust their sex ratio based on environmental conditions. This study examines lamprey population size and sex ratio by developing a single-species logistic growth model that incorporates corrections for gender structure and environmental resources. We analyze population changes with and without sex ratio adjustment under varying environmental conditions. To assess the ecological impact, we also create a multi-species competition model based on the Lotka-Volterra predator equation, evaluating the effects of sex-regulated lamprey populations on the food chain. The stability of both models is analyzed using allowable error inequalities and inverse distance functions, and we assess population changes through data volatility analysis.