Author/Authors :
Kabanikhin, S.I. Institute of Computational Mathematics and Mathematical Geophysics SB RAS Prospekt Akad - Novosibirsk State University, Novosibirsk, Russia , Krivorotko, O.I. Institute of Computational Mathematics and Mathematical Geophysics SB RAS Prospekt Akad - Novosibirsk State University, Novosibirsk, Russia , Latyshenko, V.A. Novosibirsk State University, Novosibirsk, Russia , Ermolenko, D.V. Institute of Computational Mathematics and Mathematical Geophysics SB RAS Prospekt Akad - Novosibirsk State University, Novosibirsk, Russia , Kashtanova, V.N. Novosibirsk State University, Novosibirsk, Russia
Abstract :
A parameter identification problem (inverse problem) for some mathematical
models of HIV dynamics and tuberculosis epidemics with experimental observations is in-
vestigated. The inverse problems are reduced to a minimization problem. The optimization
problem is solved with the help of stochastic methods: a genetic algorithm and fast simulated
annealing. The results of numerical calculations are presented.
Keywords :
Inverse problem , ordinary differential equations , optimization problem , param- eter identification , genetic algorithm , simulated annealing
