A short note on analysis and application of a stochastic open-ended logistic growth model. Issue 1 (1st January 2019)

• Record Type: Journal Article
• Authors: Yoshioka, Hidekazu; Yaegashi, Yuta; Yoshioka, Yumi; Tsugihashi, Kentaro
• Is Part Of: Letters in biomathematics. Volume 6: Issue 1(2019)
• Page Start: 67
• Page End: 77
• Publication Date: 2019-01-01
• Subjects: Open-ended logistic growth -- stochastic differential equation -- Plecoglossus altivelis altivelis -- unique solvability; Biomathematics -- Periodicals; Computational Biology; Biostatistics; Models, Biological; Biomathematics; Periodicals; Periodicals; 570.151
• DOI: 10.1080/23737867.2019.1691946
• Languages: English
• ISSNs: 2373-7867

Abstract

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.