Open AccessCusp bifurcation on cervical cancer mathematical model
Author(s) -
Tri Sri Noor Asih,
Widodo Widodo,
Lina Aryati,
Fajar Adi-Kusumo
Publication year - 2019
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1321/2/022087
Subject(s) - cusp (singularity) , bifurcation , continuation , mathematics , numerical continuation , phase portrait , bifurcation diagram , bifurcation theory , transcritical bifurcation , saddle node bifurcation , mathematical analysis , geometry , physics , nonlinear system , computer science , quantum mechanics , programming language
There are some conditions for the existences of the equilibrium points on cervical cancer mathematical model and their local stability. In this paper we make continuation on some parameter to find a bifurcation phenomena. Bifurcation is the appearance of a topologically non-equivalent phase portrait under variation of parameters. While we make continuation on parameter maximum invasion rate together with continuation on infection rate, we find a Cusp Bifurcation. Cusp bifurcation is a condition where two-bifurcation curve are met. First we do the continuation by AUTO to detect the bifurcation. Further we do some analysis and simulation by Matlab and then make some interpretation for these phenomena.