Abstract

In this paper, a deterministic mathematical model for transfusion transmitted malaria with sterilizing immunity is developed.

The model, which consist of seven mutually exclusive compartments for human and mosquito populations has a disease free

equilibrium (DFE) which is locally asymptotically stable whenever a certain epidemiological threshold, the basic reproductive

number ( ) 0 R is less than unity. Further analysis shows that the model exhibits phenomena of backward bifurcation where the

stable DFE coexist with endemic equilibrium which means that making ( ) 0 R less than unity alone does not guaranty the

control of malaria in the community. Numerical simulation of the model underscores the significance of inclusion of the new

force of infection for human population. To the best of our knowledge, this is the first mathematical model of malaria to

incorporate transmission by transfusion.