Abstract:
A mathematical model for malaria transmission is developed using ordinary differential
equations. We analyze stability of disease free equilibrium and endemic equilibrium. The
disease free equilibrium is locally asymptotically stable, if ℜ0 < 1, and that the endemic
equilibrium exist provided ℜ0 > 1. The basic reproduction number was obtained by using
second generation matrix. It is used to determine whether the disease is persists or die out.
Sensitivity analysis is also solved from basic reproduction number and used to identify the
parameters which expand disease or control disease. Lastly numerical simulation is
performed in order to check the effect of each parameter in the expansion as well as in control
of malaria.
