/
/
/
A Mathematical Model of Cerebrospinal Meningitis Epidemic: A Case Study for Jirapa District, Ghana

A Mathematical Model of Cerebrospinal Meningitis Epidemic: A Case Study for Jirapa District, Ghana

Original Research ArticleMar 30, 2018Vol. 10 No. 2 (2010)

Abstract

We develop a mathematical model that governs the epidemiology of cerebrospinal meningitis (CSM) in Jirapa, Ghana. For proper control to be instituted, however, the cerebrospinal meningitis and their dynamics must be known. This paper reports on the dynamics of cerebrospinal meningitis caused by bacterial infection and gives suggestions as how they can be controlled. We study the existence of a solution, the stability of equilibria, and investigate bifurcations of the system. We perform numerical simulation on the model for Jirapa District in Upper West Region of Ghana.

Keywords: Mathematical Model, Cerebrospinal meningitis (CSM), Stability Analysis, Bifurcation, Respiratory Tract, Simulation.

E-mail: adetunde@googlemail.com

How to Cite

Wiah, E. N. ., & Adetunde*, I. A. . (2018). A Mathematical Model of Cerebrospinal Meningitis Epidemic: A Case Study for Jirapa District, Ghana. CURRENT APPLIED SCIENCE AND TECHNOLOGY, 63-73.

References

  • [1] Horn, A. E. 1908. Report on an investigation of cerebrospinal fever in the Norther Territories of the Gold Coast in 1908. Journal of Tropical Medicine and Hygiene, 11, 358-365.
  • [2] Thomas, M. 2004. Prevention of group B meningococcal disease by vaccination: a difficult task. New Zealand Medical Journal. 117(1200), 21-31.
  • [3] WHO. 2000. Detecting meningoccocal meningitis epidemics in highly endemic African countries. Wkly Epidemiol Rec, 75, 306-9.
  • [4] Birmingham, M. E., Lewis, R. F., Perea, W., Nelson, C. B., Kabore, A. and Tarantola, D.2003. Routine vaccination with polysaccharide meningococcal vaccines is an ineffective and possibly harmful strategy. Bull World Health Organ 81, 751–5.
  • [5] Robbins, J. B., Schneerson, R., Gotschlich, E. C., Mohammed, I., Nasidi, A., Chippaux, J. P., et al. 2003. Meningococcal meningitis in sub-Saharan Africa: the case for mass and routine vaccination with available polysaccharide vaccines. Bull World Health Organ, 81(10), 745-751.

Author Information

Eric N. Wiah

Department of Mathematics, Kwame Nkrumah University of Science and Technology, Kumasi, Ghana

Isaac A. Adetunde*

Department of Mathematics, University of Mines and Technology, Tarkwa, Ghana

About this Article

Journal

Vol. 10 No. 2 (2010)

Type of Manuscript

Original Research Article

Keywords

Mathematical Model, Cerebrospinal meningitis (CSM), Stability Analysis, Bifurcation, Respiratory Tract, Simulation.

Published

30 March 2018