Mathematical Model for Malaria and Meningitis Co-infection among Children

Abstract

Disease and poverty are a major threat to child survival in the developing world, where access to good nutrition, sanitation and health care is poor. In this paper, a mathematical model for malaria and meningitis co-infection among children under five years of age is developed and analysed. We establish the basic reproduction number Rmm for the model, which is a measure of the course of the co-infection. The analysis shows that the disease-free equilibrium of the model may not be globally asymptotically stable whenever Rmm is less than unity. The Centre Manifold theorem is used to show that the model has a unique endemic equilibrium which is locally asymptotically stable when Rmm < 1 and unstable when Rmm > 1. We deduce further that a reduction in malaria infection cases either through protection or prompt effective treatment, which is dependent on the socio-economic status of a community, would reduce the number of new co-infection cases. Mathematics Subject Classification: 34D20

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Cite this paper

@inproceedings{O2011MathematicalMF, title={Mathematical Model for Malaria and Meningitis Co-infection among Children}, author={Lawi G. O and G. O. Lawi and J. Y. T. Mugisha and N. Omolo}, year={2011} }