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


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.

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/10.30707/LiB6.1Yoshioka.