Global Dynamics of one Chronic Lymphocytic Leukemia Model

Antonio Villegas, Konstantin E. Starkov

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

In this paper we study some features of global behavior of one four-dimensional cancer model described by DePillisand Radunskaya in 2013. We find upper bounds for ultimate dynamics of all types of cells populations involvedinto this model. Also all the ultimate lower bounds. Further, we prove the existence of the bounded positively invariantpolytope. Finally, we demonstrate local stability of the equilibrium point that we found.

Original languageEnglish
Title of host publicationProceedings - 2015 International Conference on Mechatronics, Electronics, and Automotive Engineering, ICMEAE 2015
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages211-216
Number of pages6
ISBN (Electronic)9781467383288
DOIs
StatePublished - 2015
Externally publishedYes
EventInternational Conference on Mechatronics, Electronics, and Automotive Engineering, ICMEAE 2015 - Cuernavaca, Morelos, Mexico
Duration: 24 Nov 201527 Nov 2015

Publication series

NameProceedings - 2015 International Conference on Mechatronics, Electronics, and Automotive Engineering, ICMEAE 2015

Conference

ConferenceInternational Conference on Mechatronics, Electronics, and Automotive Engineering, ICMEAE 2015
Country/TerritoryMexico
CityCuernavaca, Morelos
Period24/11/1527/11/15

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