Mathematical Model for Optimal Control of Soil-Transmitted Helminth Infection
Joint Authors
Luboobi, Livingstone
Lambura, Aristide G.
Mwanga, Gasper G.
Kuznetsov, Dmitry
Source
Computational and Mathematical Methods in Medicine
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-08-01
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
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 materials, educational messages to improve the awareness of the susceptible population, and treatment by mass drug administration that target the entire population(preschool- and school-aged children) and sanitation through provision of clean water and personal hygiene.
Numerical simulations were done using MATLAB and graphical results are displayed.
The cost effectiveness of the control measures were done using incremental cost-effective ratio, and results reveal that the combination of health education and sanitation is the best strategy to combat the helminth infection.
Therefore, in order to completely eradicate soil-transmitted helminths, we advise investment efforts on health education and sanitation controls.
American Psychological Association (APA)
Lambura, Aristide G.& Mwanga, Gasper G.& Luboobi, Livingstone& Kuznetsov, Dmitry. 2020. Mathematical Model for Optimal Control of Soil-Transmitted Helminth Infection. Computational and Mathematical Methods in Medicine،Vol. 2020, no. 2020, pp.1-15.
https://search.emarefa.net/detail/BIM-1139527
Modern Language Association (MLA)
Lambura, Aristide G.…[et al.]. Mathematical Model for Optimal Control of Soil-Transmitted Helminth Infection. Computational and Mathematical Methods in Medicine No. 2020 (2020), pp.1-15.
https://search.emarefa.net/detail/BIM-1139527
American Medical Association (AMA)
Lambura, Aristide G.& Mwanga, Gasper G.& Luboobi, Livingstone& Kuznetsov, Dmitry. Mathematical Model for Optimal Control of Soil-Transmitted Helminth Infection. Computational and Mathematical Methods in Medicine. 2020. Vol. 2020, no. 2020, pp.1-15.
https://search.emarefa.net/detail/BIM-1139527
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1139527