Abstract

A mathematical model for transmission dynamics of Lassa fever with optimal control application is presented. The existence of region where the model is epidemiologically feasible is established with respect to the use of pesticide control measure. We use personal protection control measure and basic reproduction number in linear and nonlinear Lyapunov functions together with the Lasalle's invariant principle to show that disease free and endemic equilibria are globally asymptotically stable. The existence and uniqueness of an optimality system are discussed. A characterization of the optimal control via adjoint variables is established. The possible impact of using combinations of the three controls either one at a time or two at a time or three at a time on the spread of the disease is also examined.

Citation details of the article

Journal: International Journal of Applied Mathematics
Journal ISSN (Print): ISSN 1311-1728
Journal ISSN (Electronic): ISSN 1314-8060
Volume: 31
Issue: 3
Year: 2018

DOI: 10.12732/ijam.v31i3.11

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