A short note on analysis and application of a stochastic open-ended logistic growth model

  • Hidekazu Yoshioka Shimane University
  • Yuta Yaegashi Kyoto University
  • Yumi Yoshioka Shimane University
  • Kentaro Tsugihashi Shimane University
Keywords: Open-ended logistic growth, stochastic differential equation, Plecoglossus altivelis altivelis, unique solvability

Abstract

A minimal stochastic generalization of a deterministic open-ended logistic growth model is proposed for efficiently describing the biological growth of individual organisms under natural environment. The model is a system of stochastic differential equations. Its unique solvability in a strong sense is proven, and the behaviour of the solution is analysed. The presented model is then applied to the migratory fish Plecoglossus altivelis altivelis (P. altivelis, Ayu) having a one-year life history based on the data sets collected in 2017 and 2018.

Published
2019-01-01
How to Cite
Yoshioka, Hidekazu, Yuta Yaegashi, Yumi Yoshioka, and Kentaro Tsugihashi. 2019. “A Short Note on Analysis and Application of a Stochastic Open-Ended Logistic Growth Model”. Letters in Biomathematics 6 (1), 67-77. https://doi.org/10.1080/23737867.2019.1691946.
Section
Research