  We present a deterministic mathematical model for malaria transmission with
waning immunity. The model consists of five non-linear system of differential
equations. We used next generation matrix to derive the basic reproduction
number $R_0$. The disease free equilibrium was computed and its local stability
has been shown by the virtue of the Jacobean matrix. Moreover, using Lyapunov
function theory and LaSalle Invariance Principle we have proved that the
disease free equilibrium is globally asymptotically stable. Conditions for
existence of endemic equilibrium point have been established. A qualitative
study based on bifurcation theory reveals that backward bifurcation occur in
the model. The stable disease free equilibrium of the model coexists with the
stable endemic equilibrium when $R_0<1$. Furthermore, we have shown that
bringing the number of disease (malaria) induced death rate below some
threshold is sufficient enough to eliminate backward bifurcation in the model.
