Abstract: Schistosomiasis remains one of the major health problems in tropical and subtropical countries with school aged children usually the most affected. Urinary schistosomiasis is endemic in Wasai, a town located near Wasai dam in Minjibir Local Government area of Kano state. Different types of water contact activities takes place in the water body which have different snail intermediate hosts attached to water hyacinth. A nonlinear model that analyzed the pattern of transmission of urinary schistosomiasis for children from Wasai and Dingim towns and snails in Jakara dam with a single dose treatment with Praziquantel was designed. Picard Lindelof theorem was used to show the existence of a unique solution to the system. The disease free equilibrium was found to be locally asymptotically stable and due to the nonautonomous nature of the system, Floquet theory was applied to obtain the basic reproduction number. These results have been illustrated by numerically simulating the model with estimated parameter values, and sensitivity analysis was carried out.
Keywords: Asymptotic, Basic reproduction number, Mathematical modeling, Re-infection, Schistosomiasis, Treatment.
Title: A Mathematical Model for the Transmission Dynamics of Schistosomiasis with Treatment
Author: Rabi S Duwa, Salihu U. Suraj
International Journal of Mathematics and Physical Sciences Research
ISSN 2348-5736 (Online)
Vol. 10, Issue 1, April 2022 - September 2022
Page No: 45-51
Research Publish Journals
Website: www.researchpublish.com
Published Date: 31-August-2022
