Modeling co-infection of paediatric Malaria and Pneumonia

Abstract

Malaria and persistent childhood diseases are a major threat to child survival in the developing world. In this paper, we develop and analyse a mathematical model for paediatric malaria and pneumonia co-infection. We establish the existence of equilibria points in terms of the basic reproduction numbers Rm and Rp. The analysis shows that the diseasefree equilibrium of the model is globally asymptotically stable whenever the co-infection reproduction number Rmp is less than unity. Sensitivity analysis of the reproduction numbers show that an increase in the treatment rate results in an expected decline of new disease incidences.