Bifurcation Analysis of a Model of Cancer

  • Abdo M. Al-Mahdi Department of Mathematics and Computer Science Faculty of Science, Ibb University, Yemen
  • Mustafa Q. Khirallah Department of Mathematics and Computer Science Faculty of Science, Ibb University, Yemen Department of Mathematics, Faculty of Science and Arts Najran University, Saudi Arabia

Abstract

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.

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Published
2016-01-30
How to Cite
Al-Mahdi, A. M., & Khirallah, M. Q. (2016). Bifurcation Analysis of a Model of Cancer. European Scientific Journal, ESJ, 12(3), 67. https://doi.org/10.19044/esj.2016.v12n3p67