Analyzing population dynamics models via Sumudu transform

2021/12/14 by M. O. Aibinu, Aibinu, M. O., S. C. Moyo +3 · 1 citation
Medicine · #33C45 #34A08 #65M70 #FOS: Biological sciences #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical and Theoretical Epidemiology and Ecology Models #Populations and Evolution (q-bio.PE)

paper · doi:10.48550/arxiv.2112.07126

openalex publication_date 2021/12/14 · openalex created_date 2022/05/05 · openalex updated_date 2026/07/28

Abstract

This study demonstrates how to construct the solutions of a more general form of population dynamics models via a blend of variational iterative method with Sumudu transform. In this paper, population growth models are formulated in the form of delay differential equations of pantograph type which is a general form for the existing models. Innovative ways are presented for obtaining the solutions of population growth models where other analytic methods fail. Stimulating procedures for finding patterns and regularities in seemingly chaotic processes have been elucidated in this paper. How, when and why the changes in population sizes occur can be deduced through this study.

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