Solution of logistic differential equation in an uncertain environment using neutrosophic numbers

Parikh, Meghna; Sahni, Manoj

doi:10.47974/JIM-1795

Open Access Research Article

Solution of logistic differential equation in an uncertain environment using neutrosophic numbers

Meghna Parikhmeghna.pphd18@sot.pdpu.ac.inDepartment of MathematicsPandit Deendayal Energy UniversityGandhinagar, Gujarat, 382426, IndiaView full profile → , ^*Manoj SahniCorresponding authormanoj.sahni@sot.pdpu.ac.inDepartment of MathematicsPandit Deendayal Energy UniversityGandhinagar, Gujarat, 382426, IndiaView full profile →

* Corresponding author · click or hover a name for details

pp. 145–169Vol. 27Issue 1February 2024DOI: 10.47974/JIM-1795XML

Received:: 10 Jul 2023
Published Online:: 27 Feb 2024
Article type:: Research Article
Language:: EN
Article no.:: JIM-1795
Pages:: 145–169

Abstract

The modeling and forecasting of population dynamics, as well as growth in biological systems more generally, have required the construction of various growth models. This paper presents the logistic growth model, which is a modified version of the exponential growth model and offers a more flexible framework to capture fluctuations and potential deviations from deterministic predictions. This paper aims to advance the model of a logistic growth differential equation within a neutrosophic environment, with a focus on validating the proposed framework by applying it to predict the projected population of India from the year 2001 to 2050. We investigated the neutrosophic solutions and validated them with the exact solution with available projected data on the portal of UNITED NATION. The developed logistic growth differential equation in a neutrosophic environment is visually elucidated through graphical representation, enhancing the clarity and accessibility of the presented model.

Keywords

Neutrosophic set theory Neutrosophic triangular fuzzy number Logistic growth model

Subject Classifications

(2010) 34A07

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