Mathematical model for malaria and meningitis co-infection among children

Applied Mathematical Sciences

Volumn 5, Issue 45-48, 2011, Pages 2337-2359

  Lawi, G O ^a   Mugisha, J Y T ^b   Omolo Ongati, N ^c  

^a MASINDE MULIRO UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Kenya)

^b MAKERERE UNIVERSITY   (Uganda)

^c MASENO UNIVERSITY   (Kenya)

Author keywords

Basic reproduction number; Co infection; Malaria meningitis model; Socio economic; Stability

Indexed keywords

EID: 80855157310     PISSN: None     EISSN: 1312885X     Source Type: Journal    
DOI: None     Document Type: Article

References (23)

1. A. Gemperli, P. Vounatsou, N. Sogoba and T. Smith, Malaria mapping using transmission models:application to survey data. American Journal of Epidemiology, 163(2006), 289-297.
2. C. Akukwe, Malaria and Tuberculosis: Forgotten Diseases, (2004), http://www.theperspective.org/2004/May/forgottendiseases.
3. C. Castillo-Chavez and B. Song, Dynamical models of tuberculosis and their applications, Mathematical Biosciences and Engineering, 1(2004), 361-404.
4. C. Castillo-Chavez, Z. Feng, and W. Huang, On the computation of Ro and its role on global stability,in: Castillo-Chavez C., Blower S., van den Driessche P., Krirschner D. and Yakubu A.A.(Eds), Mathematical Approaches for Emerging and Reemerging Infectious Diseases: An Introduction. The IMA Volumes in Mathematics and its Applications. Springer-Verlag, New York, 125(2002), 229-250.
5. Central Intelligence Agency-The World Factbook.http://www.cia.gov/library/publications/the-worldfactbook.( Accessed on August 10, 2010)
6. C. Francesco, et al. Malaria Epidemics and intervention, Kenya, Burundi, Southern Sudan and Ethiopia-1999-2004. Emerging Infectious Diseases, 12(2006), 1477-1485.
7. D.R. Feikin, et al. Rapid Assessment Tool for Haemophilus Influenza type b Diseases in Developing countries. Emerging Infectious Diseases, 10(7)(2004), 1270-1276.
8. G. Birkhoff and G.C. Rota, Ordinary Differential Equations, 4th Edition, John Wiley and Sons, Inc., New York, (1989).
9. J.A. Berkley, I. Mwangi, F. Mellington, S. Mwarumba, K. Marsh, Cerebral malaria versus bacterial meningitis in children with impaired consciousness. International Journal of Medicine,92(1999), 151-157.
10. J. Carr, Applications of Centre Manifold Theory, Springer-Verlag, New York, (1981).
11. Kenya. Ministry of Health. National Guidelines for Diagnosis, Treatment and Prevention of Malaria for health workers in Kenya. Division of Malaria Control, Ministry of Health 2008 edition, (2008).
12. L. Roberts, An Ill Wind Bringing Meningitis. Science, 320 (2008), 1710.
13. M. English, J. Berkley, I. Mwangi et al, Hypothetical performance of syndrome-based management of acute pediatric admissions of children aged more than 60 days in a Kenyan district hospital. Bull WHO. 81,(2003), 166-173.
14. Millenium Development Goals. www.unicef.org/mdg (Accessed on 2nd February 2011)
15. N. Chitnis, J.M. Cushing and J.M. Hyman, Bifurcation analysis of a mathematical model for malaria transmission SIAM J.Appl.Math., 67(1)(2006), 24-45.
16. O. Diekmann and J.A.P. Heesterbeek, Mathematical epidemiology of infectious diseases, Wiley series in Mathematical and Computational biology, John Wiley and Sons, West Sussex, England, 2000.
17. O. Sharomi, C.N. Podder, A.B. Gumel and B. Song, Mathematical analysis of the transmission dynamics of HIV/TB coinfection in the presence of treatment. Mathematical Biosciences and Engineering. 5(2008), 145-174.
18. P. Ayieko, A.O. Akumu, U.K. Griffiths and M. English, The economic burden of inpatient paediatric care in Kenya: household and provider costs for treatment of pneumonia, malaria and meningitis, Cost Eff Resour Alloc. 7,(2009), 13-23.
19. P. van den Driessche, and J. Watmough, Reproduction numbers and the sub-threshold endemic equilibria for compartmental models of disease transmission. Math. Biosci., 180(2002), 29-48.
20. R.D. Snyder, Bacterial Meningitis:Diagnosis and Treatment. Current Neurology and Neuroscience Reports, 3 (2003), 461-469.
21. S. Gwer, C.R. Newton and J.A. Berkley, Over-diagnosis and co-morbidity of severe malaria in African children: A guide for clinicians, American journal of Tropical Medicine and Hygiene 77, (2007), 6-13.
22. T. Irving, K. Blyuss, C. Colijn and C. Trotter, Does Resonance Account for the Epidemiology of Meningococcal Meningitis in the African Meningitis Belt? University of Bristol, Bristol Centre for Complexity Sciences,(2009).
23. World Health Organization, World Malaria Report 2008, WHO/HTM/GMP (2008).1.