Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Identification of an Open Polynomial Tricompartmental Catenary System of (α+ β) Order by a Linearization Method

Version 1 : Received: 19 January 2024 / Approved: 22 January 2024 / Online: 23 January 2024 (15:11:15 CET)

How to cite: Ayoub, K.; Khelifa, S.; Rahmoune, A. Identification of an Open Polynomial Tricompartmental Catenary System of (α+ β) Order by a Linearization Method. Preprints 2024, 2024011705. https://doi.org/10.20944/preprints202401.1705.v1 Ayoub, K.; Khelifa, S.; Rahmoune, A. Identification of an Open Polynomial Tricompartmental Catenary System of (α+ β) Order by a Linearization Method. Preprints 2024, 2024011705. https://doi.org/10.20944/preprints202401.1705.v1

Abstract

To identify the exchange coefficients of a nonlinear polynomial tricompartmental general system of α+β , we follow the procedure; firstly, the recommended solution is to introduce an adequate time t*>0 in a determinable manner. That is, after injecting quantity a into the main compartment, wait a moment for the exchange in the polynomial α+β order nonlinear general system to settle, and then compare this compartment to compartment 2 at t*. Secondly, applying the Taylor formula will linearize the system and identify the exchange coefficients. Finally, we will prove that the linearization method is stable.

Keywords

Linear compartmental system; Nonlinear compartmental system; Inverse problem; Identification; Numerical analysis; Ordinary differential equation

Subject

Biology and Life Sciences, Biology and Biotechnology

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