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An inverse numerical method that estimates 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 consists of determining an overdetermined system of algebraic equations using the experimental data. The solution of the overdetermined system is then obtained using, for example the least-square method. To illustrate the effectiveness of the method an analysis of examples and a numerical example for the model that monitors the dynamics of HIV is presented. [ABSTRACT FROM AUTHOR]

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 a corresponding numerical example is presented. [ABSTRACT FROM AUTHOR]