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OPTIMAL CONTROL AND COST-EFFECTIVENESS ANALYSIS OF TUBERCULOSIS MODEL WITH FAST AND SLOW PROGRESSION |
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| รหัสดีโอไอ | |
| Creator | Rabiu Aliyu Abdulkadir, Parvaneh Esmaili |
| Title | OPTIMAL CONTROL AND COST-EFFECTIVENESS ANALYSIS OF TUBERCULOSIS MODEL WITH FAST AND SLOW PROGRESSION |
| Contributor | - |
| Publisher | TuEngr Group |
| Publication Year | 2563 |
| Journal Title | International Transaction Journal of Engineering, Management, & Applied Sciences & Technologies |
| Journal Vol. | 11 |
| Journal No. | 7 |
| Page no. | 11A07K: 1-13 |
| Keyword | Epidemic model, Cost-effectiveness ratio (ICER), Pontryagin Maximum Principle (PMP), Optimization control, Cost analysis, Disease control strategy, Epidemic numerical simulations. |
| URL Website | http://TuEngr.com/Vol11_7.html |
| Website title | ITJEMAST V11(7) 2020 @ TuEngr.com |
| ISSN | 2228-9860 |
| Abstract | Designing feasible and cost-effective control interventions for the eradication of epidemic diseases is a daunting task. Mathematical modelling and control system theory provide efficient tools that can be employed to analyse and understand the dynamics of the disease and its control. Nevertheless, finding optimal control strategies for epidemic models is cumbersome, owing to the stringent need for balancing the dissenting demands of the control goal and minimising the cost of implementing the control actions. This study proposed the application of optimal control theory to a Tuberculosis (TB) model with slow and fast progression, seeking to reduce or eliminate the prevalence of TB and minimise the cost of implementation of the control. The optimal controls are characterised using the Pontryagin maximum principle and solved numerically. Moreover, a cost-effectiveness analysis is performed by using an incremental cost-effectiveness ratio (ICER). The results indicated that disease control policy that combined vaccine, case finding and case holding interventions would successfully curtail the prevalence of TB. |
