Local Bifurcation Analysis for a Special Type of SIR Epidemic Model

Saba N. Majeed

Abstract: An analytic study for the local bifurcation proposed for a special type of SIR epidemic model holling type II treatment failure rate, the occurrence of trans critical bifurcation proved depending on Sotomayor theorem, while Hopf bifurcation were not realized.

Keywords: Local bifurcation, Hopf bifurcation, Sotomayor theorem, SIR model, holling type II