Dynamics of Sea Lamprey Populations in Marine and Lake Environments: An Analysis of Sex Ratio Impacts and Predatory Behavior
DOI:
https://doi.org/10.54097/094pz208Keywords:
Population Dynamics, Lotka-Volterra Predator Model, Runge-Kutta Method, Lamprey.Abstract
Understanding the population dynamics of lamprey under the influence of human activities and environmental changes is essential for ecosystem balance and biodiversity conservation. In this paper, a lamprey population dynamics model is constructed. Besides, changes in lamprey populations in different ecosystems and the impacts of lamprey on different ecosystems are explored. Specifically, after analyzing the intraspecific stage structure, the Lotka-Volterra predation model is introduced, and then the lamprey population dynamics model of lamprey is obtained. Moreover, a valuation index system for ecosystems is constructed. Subsequently, the Runge-Kutta method is cited to perform differential equation numerical solutions. The simulation results show that in marine ecosystems, the lamprey population will fluctuate initially and gradually reach stability. However, when in lake ecosystems with high food availability, the lamprey population will first decrease and then increase over a short period. In contrast, when the food availability of the lake ecosystems is low, the lamprey population decreases but does not tend to zero.
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