Phenomenological Study of Backward Bifurcation in Epidemiological Models.

Abstract

This thesis is about the phenomenological study of bifurcations in epidemiologicalmodels, in particular, in backward bifurcation. We consider models that exhibit such bifurcation and also consider the factors that cause them. In order to make the reader understand backward bifurcation, we frst consider transcritical bifurcation and show how it is related to backward bifurcation. We consider our own examples to show these bifurcations and strengthen the cases of occurrence of such bifurcation for certain range of parameters.