Persistence analysis in a Kolmogorov-type model for cancer-immune system competition

C. Bianca; F. Pappalardo; M. Pennisi; M. A. Ragusa

doi:10.1063/1.4825874

Persistence analysis in a Kolmogorov-type model for cancer-immune system competition

C. Bianca
, F. Pappalardo
, M. Pennisi
, M. A. Ragusa

Risultato della ricerca: Capitolo in libro/report/atti di convegno › Contributo a conferenza › peer review

Abstract

This paper is concerned with analytical investigations on the competition between cancer cells and immune system cells. Specifically the role of the B-cells and T-cells in the evolution of cancer cells is taken into account. The mathematical model is a Kolmogorov-type system of three evolution equations where the growth rate of the cells is described by logistic law and the response of B-cells and T-cells is modeled according to Holling type-II function. The stability analysis of equilibrium points is performed and the persistence of the model is proved.

Lingua originale	Inglese
Titolo della pubblicazione ospite	11th International Conference of Numerical Analysis and Applied Mathematics 2013, ICNAAM 2013
Pagine	1797-1800
Numero di pagine	4
DOI	https://doi.org/10.1063/1.4825874
Stato di pubblicazione	Pubblicato - 2013
Pubblicato esternamente	Sì
Evento	11th International Conference of Numerical Analysis and Applied Mathematics 2013, ICNAAM 2013 - Rhodes, Greece Durata: 21 set 2013 → 27 set 2013

Serie di pubblicazioni

Nome	AIP Conference Proceedings
Volume	1558
ISSN (stampa)	0094-243X
ISSN (elettronico)	1551-7616

???event.eventtypes.event.conference???

???event.eventtypes.event.conference???	11th International Conference of Numerical Analysis and Applied Mathematics 2013, ICNAAM 2013
Paese/Territorio	Greece
Città	Rhodes
Periodo	21/09/13 → 27/09/13

OSS delle Nazioni Unite

Questo processo contribuisce al raggiungimento dei seguenti obiettivi di sviluppo sostenibile

SDG 3 Salute e benessere

Accesso al documento

10.1063/1.4825874

Altri file e collegamenti

Link to publication in Scopus

Cita questo

@inproceedings{084546bdfb35402886195f23d75e5369,

title = "Persistence analysis in a Kolmogorov-type model for cancer-immune system competition",

abstract = "This paper is concerned with analytical investigations on the competition between cancer cells and immune system cells. Specifically the role of the B-cells and T-cells in the evolution of cancer cells is taken into account. The mathematical model is a Kolmogorov-type system of three evolution equations where the growth rate of the cells is described by logistic law and the response of B-cells and T-cells is modeled according to Holling type-II function. The stability analysis of equilibrium points is performed and the persistence of the model is proved.",

keywords = "Competition, Mathematical Biology, Nonlinearity, Persistence, Stability Analysis",

author = "C. Bianca and F. Pappalardo and M. Pennisi and Ragusa, \{M. A.\}",

year = "2013",

doi = "10.1063/1.4825874",

language = "English",

isbn = "9780735411845",

series = "AIP Conference Proceedings",

pages = "1797--1800",

booktitle = "11th International Conference of Numerical Analysis and Applied Mathematics 2013, ICNAAM 2013",

note = "11th International Conference of Numerical Analysis and Applied Mathematics 2013, ICNAAM 2013 ; Conference date: 21-09-2013 Through 27-09-2013",

}

Bianca, C, Pappalardo, F, Pennisi, M & Ragusa, MA 2013, Persistence analysis in a Kolmogorov-type model for cancer-immune system competition. in 11th International Conference of Numerical Analysis and Applied Mathematics 2013, ICNAAM 2013. AIP Conference Proceedings, vol. 1558, pagg. 1797-1800, 11th International Conference of Numerical Analysis and Applied Mathematics 2013, ICNAAM 2013, Rhodes, Greece, 21/09/13. https://doi.org/10.1063/1.4825874

Persistence analysis in a Kolmogorov-type model for cancer-immune system competition. / Bianca, C.; Pappalardo, F.; Pennisi, M. et al.
11th International Conference of Numerical Analysis and Applied Mathematics 2013, ICNAAM 2013. 2013. pag. 1797-1800 (AIP Conference Proceedings; Vol. 1558).

Risultato della ricerca: Capitolo in libro/report/atti di convegno › Contributo a conferenza › peer review

TY - GEN

T1 - Persistence analysis in a Kolmogorov-type model for cancer-immune system competition

AU - Bianca, C.

AU - Pappalardo, F.

AU - Pennisi, M.

AU - Ragusa, M. A.

PY - 2013

Y1 - 2013

N2 - This paper is concerned with analytical investigations on the competition between cancer cells and immune system cells. Specifically the role of the B-cells and T-cells in the evolution of cancer cells is taken into account. The mathematical model is a Kolmogorov-type system of three evolution equations where the growth rate of the cells is described by logistic law and the response of B-cells and T-cells is modeled according to Holling type-II function. The stability analysis of equilibrium points is performed and the persistence of the model is proved.

AB - This paper is concerned with analytical investigations on the competition between cancer cells and immune system cells. Specifically the role of the B-cells and T-cells in the evolution of cancer cells is taken into account. The mathematical model is a Kolmogorov-type system of three evolution equations where the growth rate of the cells is described by logistic law and the response of B-cells and T-cells is modeled according to Holling type-II function. The stability analysis of equilibrium points is performed and the persistence of the model is proved.

KW - Competition

KW - Mathematical Biology

KW - Nonlinearity

KW - Persistence

KW - Stability Analysis

UR - https://www.scopus.com/pages/publications/84887535318

U2 - 10.1063/1.4825874

DO - 10.1063/1.4825874

M3 - Conference contribution

AN - SCOPUS:84887535318

SN - 9780735411845

T3 - AIP Conference Proceedings

SP - 1797

EP - 1800

BT - 11th International Conference of Numerical Analysis and Applied Mathematics 2013, ICNAAM 2013

T2 - 11th International Conference of Numerical Analysis and Applied Mathematics 2013, ICNAAM 2013

Y2 - 21 September 2013 through 27 September 2013

ER -

Persistence analysis in a Kolmogorov-type model for cancer-immune system competition

Abstract

Serie di pubblicazioni

???event.eventtypes.event.conference???

OSS delle Nazioni Unite

Accesso al documento

Altri file e collegamenti

Fingerprint

Cita questo