Analysis of a malaria transmission mathematical model considering immigration

Abstract

The aims of this paper are to study the local and global stability of the equilibrium points using a mathematical model for malaria disease. The model is based on five differential equations. The analysis of the stability was examined using the Lyapunov method. We prove that the disease free equilibrium point is locally and globally asymptotically stable when R 0 < 1 and unstable when R 0 > 1. On the other hand, the endemic equilibrium point is locally and globally asymptotically stable when R 0 > 1.