Mathematical Model for Optimal Control of Soil-Transmitted Helminth Infection.

ABSTRACT: In this paper, we study the dynamics of soil-transmitted helminth infection. We formulate and analyse a deterministic compartmental model using nonlinear differential equations. The basic reproduction number is obtained and both disease-free and endemic equilibrium points are shown to be asymptotically stable under given threshold conditions. The model may exhibit backward bifurcation for some parameter values, and the sensitivity indices of the basic reproduction number with respect to the parameters are determined. We extend the model to include control measures for eradication of the infection from the community. Pontryagian's maximum principle is used to formulate the optimal control problem using three control strategies, namely, health education through provision of educational mater

SUBMITTER: Lambura AG 

PROVIDER: S-EPMC7416292 | biostudies-literature | 2020

REPOSITORIES: biostudies-literature