Work

Evaluation of the Accuracy of Approximations of the Differential Growth Model Using the Logistic Model

Year: 2025

Type: article

Abstract: We consider a general model of population growth given by a differential equation. Assuming that the right-hand side of the equation is unknown, we approximate the model under consideration using the classical logistic model. We establish two inequalities that evaluate the accuracy of the approximation: (a) Upper bounds for the uniform proximity of trajectories in bounded time intervals. (b) An upper bound for the difference between asymptotically stable states. The results are new and original. To obtain them, we used the contractions technique, well-known in the theory of differential equations.

Source: Japan Journal of Research

DOI: 10.33425/2690-8077.1207

Authors: Evgueni Gordienko, Adolfo Hernández-Iglesias

Institution: Universidad Autónoma Metropolitana

Language: English

Topic: Mathematical and Theoretical Epidemiology and Ecology Models

Subfield: Public Health, Environmental and Occupational Health

Field: Medicine

Domain: Health Sciences

Open Access status: hybrid

OpenAlex ID: W4414072808

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