Transmission dynamics model of Tuberculosis with optimal control strategies in Haramaya district, Ethiopia

Advances in Difference Equations

Seleshi Demie¹  Doyo Kereyu¹ 

[1] Department of Mathematics, College of Natural and Computational Sciences, Haramaya University, Haramaya, Ethiopia;

关键词: Tuberculosis;    Dynamic model;    Ethiopia;    Optimal control;    Pontryagin maximum principle;   

DOI  :  10.1186/s13662-021-03448-z

来源: Springer

【 摘 要 】

In this study, we use a compartmental nonlinear deterministic mathematical model to investigate the effect of different optimal control strategies in controlling Tuberculosis (TB) disease transmission in the community. We employ stability theory of differential equations to investigate the qualitative behavior of the model by obtaining the basic reproduction number and determining the local stability conditions for the disease-free and endemic equilibria. We consider three control strategies representing distancing, case finding, and treatment efforts and numerically compare the levels of exposed and infectious populations with and without control strategies. The results suggest that combination of all controls is the best strategy to eradicate TB disease from the community at an optimal level with minimum cost of interventions.

【 授权许可】

CC BY