Bifurcations Of A Model For Phage Therapy

Phage therapy is a therapeutic method that can treat pathogenic bacterial infections by lysing bacteria with phages.In this thesis,we investigate the dynamic behaviors of a phage therapy model by bifurcation theory and numerical simulations.It is found that there are trivial equilibria and their stability is analysed.There exist at most three nontriv-ial equilibria and it can be proved that this system undergoes fold bifurcation,supercritical or subcritical Hopf bifurcation,cusp bifurcation,codimension 2 Bogdanov-Takens bifurca-tion and codimension 3 Bogdanov-Takens bifurcation.Finally,we describe the theoretical results more intuitively by the bifurcation diagram and phase diagram which are given by matcont.Moreover,by the numerical simulations,there also exist fold bifurcation,period doubling bifurcation and Neimark-Sacker bifurcation of limit cycles.