Mathematical Model for Transmission Dynamics of Typhoid Fever With Optimal Control ‎Strategies‎

Subject Areas : International Journal of Industrial Mathematics

Mamo Wameko ¹ , Purnachandra Koya ² , Alemu Wodajo ³

1 - Wollega University, Department of Mathematics, Ethiopia.
2 - Wollega University, Department of Mathematics, Ethiopia.
3 - Wollega University, Department of Mathematics, Ethiopia

Received: 2020-04-07 Accepted : 2020-06-13 Published : 2020-05-01

Keywords: Deterministic model, Typhoid, Basic reproduction number, immunization, Mathematical model,

Abstract :

In this study, a deterministic mathematical model was used to investigate the dynamics of typhoid disease by using different optimal control strategies. The qualitative behavior of the control profile revealed that prevention has a higher impact in minimizing the incidence of the disease. Finally it was shown that applying all the three control strategies rapidly minimizes typhoid disease from the population.