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

C Bianca; FRANCESCO PAPPALARDO; MARZIO ALFIO PENNISI; Maria Alessandra RAGUSA

doi:10.1063/1.4825874

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

C Bianca
, FRANCESCO PAPPALARDO
, MARZIO ALFIO PENNISI
, Maria Alessandra RAGUSA

Dipartimento di Scienze e Innovazione Tecnologica

Risultato della ricerca: Contributo alla conferenza › Contributo in Atti di Convegno › 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
Pagine	1797-1800
Numero di pagine	4
DOI	https://doi.org/10.1063/1.4825874
Stato di pubblicazione	Pubblicato - 2013
Evento	ICNAAM 2013: 11th International Conference of Numerical Analysis and Applied Mathematics - Rhodes, Greece Durata: 1 gen 2013 → …

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???event.eventtypes.event.conference???	ICNAAM 2013: 11th International Conference of Numerical Analysis and Applied Mathematics
Città	Rhodes, Greece
Periodo	1/01/13 → …

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http://hdl.handle.net/11579/118165

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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.",

author = "C Bianca and FRANCESCO PAPPALARDO and PENNISI, \{MARZIO ALFIO\} and RAGUSA, \{Maria Alessandra\}",

year = "2013",

doi = "10.1063/1.4825874",

language = "English",

pages = "1797--1800",

note = "ICNAAM 2013: 11th International Conference of Numerical Analysis and Applied Mathematics ; Conference date: 01-01-2013",

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Persistence analysis in a Kolmogorov-type model for cancer-immune system competition. / Bianca, C; PAPPALARDO, FRANCESCO; PENNISI, MARZIO ALFIO et al.
2013. 1797-1800 Articolo presentato al ICNAAM 2013: 11th International Conference of Numerical Analysis and Applied Mathematics, Rhodes, Greece.

Risultato della ricerca: Contributo alla conferenza › Contributo in Atti di Convegno › peer review

TY - CONF

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

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AU - PAPPALARDO, FRANCESCO

AU - PENNISI, MARZIO ALFIO

AU - RAGUSA, Maria Alessandra

PY - 2013

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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.

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DO - 10.1063/1.4825874

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

Abstract

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