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

Authors

  • Peter Mathye* Tshwane University of Technology
  • Alexander Manzhirov
  • Igor Fedotov
  • Michael Shatalov

DOI:

https://doi.org/10.11145/447

Abstract

In this paper we apply an inverse method that estimates parameters of deterministic mathematical models to HIV models. We consider the case where experimental data concerning the values of some variables is incomplete or unknown. The objective is to estimateВ  the parameters and restore the information concerning the behaviour of the incomplete data. The method is based on intergrating both sides of equations of a dynamic system, and applying some minimization methods (for eaxmple, least square methods). Such an approach was first suggested in [3] and [4]. Analysis of the HIV model and corresponding numerical example is prented.

Author Biographies

Peter Mathye*, Tshwane University of Technology

Department of mathematics and StatisticsStudent

Alexander Manzhirov

Igor Fedotov

Michael Shatalov

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Published

2015-04-17

Issue

Section

Conference Contributions