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All Journal Journal of Multidisciplinary Applied Natural Science
Mishima Kenji
Department of Chemical Engineering, Fukuoka University, Fukuoka-81401 (Japan)
Agriculture, Biological Sciences & Forestry Biochemistry, Genetics & Molecular Biology Chemical Engineering, Chemistry & Bioengineering Chemistry Energy Environmental Science Immunology & microbiology Materials Science & Nanotechnology Mathematics Physics

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An Analytic Solution to The Inhomogeneous Verhulst Equation Using Multiple Expansion Methods Agus Salim; Albert Sulaiman; Mishima Kenji
Journal of Multidisciplinary Applied Natural Science Vol. 3 No. 2 (2023): Journal of Multidisciplinary Applied Natural Science
Publisher : Pandawa Institute

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.47352/jmans.2774-3047.176

Abstract

The present study aims to obtain an analytic solution for the inhomogeneous Verhults equation using multiple expansion methods. This study identifies the external factors represented by the inhomogeneous term that determine optimal variable conditions for ecosystem population growth. The simulation involves scenarios that utilize constant growth rates, periodic growth rates, constant external factors, and periodic external factors. It is found that external factors increase population growth, whereas constant external factors prevent growth under saturation conditions. Periodic external factors cause fluctuations in the amplitude of growth regions. The present study will highlight and discuss the development and application of the solution.
Co-Authors Agus Salim Albert Sulaiman