Title: A short note on analysis and application of a stochastic open-ended logistic growth model.
Authors: Yoshioka, Hidekazu; Yaegashi, Yuta; Yoshioka, Yumi; Tsugihashi, Kentaro
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.
Subjects: STOCHASTIC analysis; STOCHASTIC differential equations; STOCHASTIC systems; MIGRATORY fishes; LOGISTIC functions (Mathematics)
Publication: Letters in Biomathematics, 2019, Vol 6, Issue 1, p67
ISSN: 2373-7867
Publication type: Academic Journal
DOI: 10.1080/23737867.2019.1691946

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

Yoshioka, Hidekazu; Yaegashi, Yuta; Yoshioka, Yumi; Tsugihashi, Kentaro