THE ROLE OF TREATMENT ON CONTROLLING CHANCROID PREVALENCE

Subject Areas : International Journal of Mathematical Modelling & Computations

S. Mushayabasa ¹ , C. P. Bhunu ²

1 - Modelling Biomedical Systems Research Group, National University of Science and Technology, Box AC 939 Ascot, Bulawayo Zimbabwe Department of Applied Mathematics
2 - University of Zimbabwe, Box MP 167 Mount Pleasant, Harare Zimbabwe Department of Applied Mathematics

Received: 2016-04-13 Accepted : 2016-04-13 Published : 2011-06-22

Keywords: Stability, Sensitivity analysis, Treatment, Chancroid, reproductive number,

Abstract :

Chancroid is a highly infectious and curable sexually transmitted disease caused by the bacterium Haemophilus Ducreyl (also known as H. Ducreyl). A deterministic mathematical model for investigating the role of treatment on controlling chancroid epidemic is formulated and rigorously analyzed. A threshold quantity known as the productive number, which measures the number of secondary infections produced by a single chancroid infective when introduced in a population of susceptible in the presence of treatment has been derived. Equilibria for the model are determined and their stability are examined. Latin hypercube sampling has been used to perform the sensitivity analysis of the reproductive number.