OPTIMAL CONTROL ANALYSIS OF THE DYNAMICAL SPREAD OF MEASLES
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Date
2016-05
Journal Title
Journal ISSN
Volume Title
Publisher
International Journal of Research - GRANTHAALAYAH
Abstract
In this paper, a five (5) compartmental model is presented to study the transmission dynamics of Measles in a population at any point in time. The model is rigorously analyzed to gain insight into the dynamical features of Measles and also, optimal control theory is applied to give an optimality system which we used to minimize the number of infected individuals and propose the most suitable control strategy for the spread of measles. It is shown that the model has a diseases free equilibrium which is globally asymptotically stable (GAS). Also, there exists a unique endemic equilibrium point which is locally stable whenever the associated threshold quantity exceeds (one) unity. We also show that there exists a solution for the optimality system. From the result, it was observed that vaccine control strategy is more efficient in reducing the number of infected individuals as compared to other control strategies.
Description
Staff Publication
Keywords
Measles,, Reproduction number,, Optimal Control,, Optimal Control,, Vaccination,, Isolation,, Epidemic.
Citation
S. O. Adewale, I. A. Olopade, S. O. Ajao, and G. A. Adeniran, “OPTIMAL CONTROL ANALYSIS OF THE DYNAMICAL SPREAD OF MEASLES” International Journal of Research – Granthaalayah, Vol. 4, No. 5 (2016): 169-188.