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

Authors

  • Hidekazu Yoshioka Shimane University Author
  • Yuta Yaegashi Kyoto University Author
  • Yumi Yoshioka Shimane University Author
  • Kentaro Tsugihashi Shimane University Author

DOI:

https://doi.org/10.30707/LiB6.1Yoshioka

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.

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Published

2019-01-01

Issue

Section

Research

How to Cite

A short note on analysis and application of a stochastic open-ended logistic growth model. (2019). Letters in Biomathematics, 6(1), 67-77. https://doi.org/10.30707/LiB6.1Yoshioka

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