TY - JOUR AU - Salim, Agus AU - Sulaiman, Albert AU - Kenji, Mishima PY - 2023/04/17 Y2 - 2024/03/29 TI - An Analytic Solution to The Inhomogeneous Verhulst Equation Using Multiple Expansion Methods JF - Journal of Multidisciplinary Applied Natural Science JA - J. Multidiscip. Appl. Nat. Sci. VL - 3 IS - 2 SE - DO - 10.47352/jmans.2774-3047.176 UR - https://journal.pandawainstitute.com/index.php/jmans/article/view/176 SP - 131-137 AB - <p>The present study aims to obtain an analytic solution <span lang="EN-US">for </span>the inhomogeneous Verhults equation using multiple expansion methods. Th<span lang="EN-US">is </span>study identif<span lang="EN-US">ies </span>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 <span lang="EN-US">present </span>study will highlight and discuss the development and application of the solution.</p> ER -