Identification of HIV Dynamic System in the Case of Incomplete Experimental Data

Authors

  • Peter Mathye Tshwane University of Technology
  • Igor Fedotov Tshwane University of Technology
  • Michael Shatalov

DOI:

https://doi.org/10.11145/j.biomath.2015.12.141

Keywords:

Inverse problem, least square methods, parameter estimation, HIV model, incomplete data.

Abstract

In this paper we apply an inverse method that estimates parameters of deterministic mathematical models to an HIV model. We consider the case where experimental data concerning the values of some variables is incomplete or unknown. The objective is to estimate the parameters and to restore the information concerning the behaviour of the incomplete data. The method is based on integrating both sides of equations of a dynamic system, and applying some minimization methods (for example least square method). Such an approach was first suggested in [7] and [8]. Analysis of the HIV model and corresponding numerical example is presented.

Author Biographies

Peter Mathye, Tshwane University of Technology

Department of mathematics and StatisticsStudent

Igor Fedotov, Tshwane University of Technology

Michael Shatalov

Downloads

Published

2016-02-02

Issue

Vol. 4 No. 2 (2015)

Section

Original Articles

License

The journal Biomath is an open access journal. All published articles are immeditely available online and the respective DOI link activated. All articles can be access for free and no reader registration of any sort is required. No fees are charged to authors for article submission or processing. Online publications are funded through volunteer work, donations and grants.

Authors who publish with this journal agree to the following terms:

  • Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License 4.0 that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
  • Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
  • Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).