Title :
Global Dynamics of one Chronic Lymphocytic Leukemia Model
Author :
Antonio Villegas;Konstantin E. Starkov
Author_Institution :
Centro de Investig. y Desarrollo de Tecnol. Digital, Inst. Politec. Nac., Tijuana, Mexico
Abstract :
In this paper we study some features of global behavior of one four-dimensional cancer model described by DePillis and Radunskaya in 2013. We find upper bounds for ultimate dynamics of all types of cells populations involved into this model. Also all the ultimate lower bounds. Further, we prove the existence of the bounded positively invariant polytope. Finally, we demonstrate local stability of the equilibrium point that we found.
Keywords :
"Upper bound","Sociology","Statistics","Immune system","Mathematical model","Cancer","Vehicle dynamics"
Conference_Titel :
Mechatronics, Electronics and Automotive Engineering (ICMEAE), 2015 International Conference on
Print_ISBN :
978-1-4673-8328-8
DOI :
10.1109/ICMEAE.2015.49
