Open AccessBifurcation Analysis of a Model of Cancer
Author(s) -
Abdo M. Al-Mahdi,
Mustafa Q. Khirallah
Publication year - 2016
Publication title -
european scientific journal
Language(s) - English
Resource type - Journals
eISSN - 1857-7881
pISSN - 1857-7431
DOI - 10.19044/esj.2016.v12n3p67
Subject(s) - bifurcation , transcritical bifurcation , mathematics , bifurcation diagram , saddle node bifurcation , bogdanov–takens bifurcation , bifurcation theory , numerical analysis , biological applications of bifurcation theory , nonlinear system , mathematical analysis , physics , quantum mechanics
In this paper, we study the bifurcation of a cancer model with completely unknown parameters. The bifurcation analysis of the biologically feasible steady-states of this model will be discussed. It is proved that the system appears to exhibit many cases of bifurcation for some ranges of system parameters. Numerical analysis and extensive numerical examples of the bifurcation for some ranges were carried out for various system parameter values and different initial densities.