LOCALIZATION OF COMPACT INVARIANT SETS OF NONLINEAR SYSTEMS AND GLOBAL STABILITY IN THE ANALYSIS OF CANCER TUMOR GROWTH MODELS

When
Start: 05/11/2015 - 12:00pm
End  : 05/11/2015 - 1:00pm

Category
Applied Math Seminar

Speaker
KonstantinEv. Starkov (Instituto Politecnico Nacional CITEDI, Mexico)

Abstract

The localization method of compact invariant sets based on a solution of the conditional extremum problem is  applied to analysis of global dynamics for some bladder tumor growth models. The main attention is attracted to finding ultimate upper and lower bounds of cells populations, analysis of the dissipativity in the Levinson sense property and derivation of global stability conditions of the tumor-free equilibrium point. Briefly applications of this method to the analysis of some other classes of nonlinear systems including Hamiltonian are discussed.

 

Where
Kravis 100