Resumen
In this paper we examine some features of the global dynamics of the four-dimensional system created by Lou, Ruggeri and Ma in 2007 which describes the behavior of the AIDS-related cancer dynamic model in vivo. We give upper and lower ultimate bounds for concentrations of cell populations and the free HIV-1 involved in this model. We show for this dynamics that there is a positively invariant polytope and we find a few surfaces containing omega-limit sets for positive half trajectories in the positive orthant. Finally, we derive the main result of this work: sufficient conditions of ultimate cancer free behavior.
Idioma original | Inglés |
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Páginas (desde-hasta) | 563-579 |
Número de páginas | 17 |
Publicación | Kybernetika |
Volumen | 50 |
N.º | 4 |
DOI | |
Estado | Publicada - 2014 |