Determination of parameters for Cauchy's problem for systems of ODEs with application to biological modelling

Authors

  • A.N. Pete
  • Peter Mathye Tshwane University of Technology
  • Igor Fedotov
  • Michael Shatalov

DOI:

https://doi.org/10.11145/j.biomath.2016.04.231

Keywords:

Inverse problem, least squares methods, parameter estimation, dynamic systems, predator-prey system.

Abstract

An inverse numerical method that estimate parameters of dynamic mathematical models given some information about unknown trajectories at some time is applied to examples taken from Biology and Ecology. The method consisting of determining an over-determined system of algebraic equations using experimental data. The solution of the over-determined system is then obtained using, for example the least-squares method. To illustrate the effectiveness of the method an analysis of examples and corresponding numerical example are presented.

Author Biography

Peter Mathye, Tshwane University of Technology

Department of mathematics and Statistics

Student

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Published

2016-05-11

Issue

Vol. 5 No. 1 (2016)

Section

Original Articles

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