Exploring population growth of sea lamprey with sex ratio based on Gompertz model

Yangshan Zhou; Yuting Jiang; Tao Liu; Ruofeng Qiu; Wu Xie; Yunfei Qi

doi:10.1117/12.3035336

21 July 2024 Exploring population growth of sea lamprey with sex ratio based on Gompertz model

Yangshan Zhou, Yuting Jiang, Tao Liu, Ruofeng Qiu, Wu Xie, Yunfei Qi

Proceedings Volume 13219, Fourth International Conference on Applied Mathematics, Modelling, and Intelligent Computing (CAMMIC 2024); 132191N (2024) https://doi.org/10.1117/12.3035336
Event: 4th International Conference on Applied Mathematics, Modelling and Intelligent Computing (CAMMIC 2024), 2024, Kaifeng, China

Abstract

Sex ratios of sea lampreys vary in response to the external environment. In order to analyze sex ratio and its dependence on local conditions, we need to develop models that reflect the relationship between sex ratio and resource availability. In this paper, we establish a link between individual sex and the availability of larval food resources. Then, we extend the object of study from individuals to populations and express the dynamics of the sex ratio as a differential equation. We introduce other factors affecting the sex ratio to refine the relationship between reproductive rates and sex ratios. To better model the growth of the lamprey population, we developed a Gompertz model that initially approximates the growth rate of the exponential function. And the introduction of the Allee effect provides a more comprehensive view of population growth.

(2024) Published by SPIE. Downloading of the abstract is permitted for personal use only.

Citation Download Citation

Yangshan Zhou, Yuting Jiang, Tao Liu, Ruofeng Qiu, Wu Xie, and Yunfei Qi "Exploring population growth of sea lamprey with sex ratio based on Gompertz model", Proc. SPIE 13219, Fourth International Conference on Applied Mathematics, Modelling, and Intelligent Computing (CAMMIC 2024), 132191N (21 July 2024); https://doi.org/10.1117/12.3035336

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KEYWORDS

Ecosystems

Reflection

Genetics

Blood

Differential equations

Mouth

Sustainability

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