Cusp bifurcation on cervical cancer mathematical model

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T.S.N. Asih, Widodo, L. Aryati, F.A. Kusumo

2019 Journal of Physics: Conference Series Vol. 1321 Issue 2 Conference paper Cited by 6 Quartile

Abstract

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. © Published under licence by IOP Publishing Ltd.

Affiliations

Department of Mathematics, Universitas Negeri Semarang, Indonesia; Department of Mathematics, Universitas Gadjah Mada, Indonesia